Visual Interface System by Character Handwriting Gestures in the Air
|
|
- Deborah Caldwell
- 5 years ago
- Views:
Transcription
1 9th IEEE Iteratioal Symposium o Robot ad Huma Iteractive Commuicatio Pricipe di Piemote - Viareggio, Italy, Sept. -5, Visual Iterface System by Character Hadwritig Gestures i the Air Toshio Asao ad Sachio Hoda Hiroshima Istitute of Techology, Japa tasao@cc.it-hiroshima.ac.jp Abstract A visual iterface system that recogizes hadwritig of Japaese katakaa characters i the air has bee developed. Characters writte i a sigle stroke have both o-strokes ad off-strokes. Thus, the shapes of the had-gesture characters are differet from the shapes of characters writte o paper. It is difficult to trace the shapes of characters i air because the writer caot see the trajectories. I this study, a light emissio diode (LED) pe ad a TV camera are used to capture the LED light trajectory, ad the movemets of the light are coverted ito directio codes correctig the slat of the hadwritig character. The codes are ormalized to data items to elimiate the effect of writig speed. The directio codes are compared with model data i which the directio codes of 6 Japaese characters are defied. Next, the system has expaded to a multi-camera system. Two of four cameras are selected ad the 3-D positios of the gesture trajectories are calculated by the stereo method, ad the positio data are coverted ito frot view data. I the experimets, we attaied a recogitio rate of 9.9% for the sigle-camera system. The multi-camera system has the advatage that it ca recogize gestures regardless of the origi directios of the gestures. The system also has the ability to recogize the directios of the gesture commads with a accuracy of 9º. Key words: Gesture recogitio, Had gesture, Huma iterface, Image processig, Character recogitio I. INTRODUCTION Computers are used i a variety of situatios, but huma iterface methods are curretly limited to iput devices such as keyboards ad mice. If computers with TV cameras ca uderstad huma gestures, the people will be able to easily iterface with computers ad robots [-3]. Gesture ad shape recogitio is very popular i the field of image recogitio [-6]. Gestures are doe by movig, for example, the head, the body, or the hads. Amog these, hads ca express iformatio most easily. Shakig ad rotatig are usually used i had gestures [7,8], but if a system ca recogize a word, the may kids of iformatio ca be set by gestures to computers ad robots. Research i which alphabets are used has bee reported [9]. Shapes of some alphabets were deformed for recogitio. These alphabets are ot useful i Japa. Rather, katakaa or hiragaa would be more useful for Japaese. Japaese laguage uses three kids of characters: hiragaa, katakaa ad kaji. The katakaa characters are based o Japaese prouciatio ad ca express all Fig. マエ Character had gesture recogitio system for robot cotrol. Japaese words ad seteces. There are 6 basic katakaa characters ad some cosoats for certai characters. The difficult poits of had gesture recogitio of letters are as follows. ) Gestures used to write i the air usig a sigle stroke cosist of o-strokes ad off-strokes of the characters. ) The trajectories are ivisible to the writer, so the letter loci are very bad. The gesture trajectory cotais o-strokes ad off-strokes. The o-strokes cotaied i the gesture trajectory are the strokes that would be writte o paper, ad the off-strokes are the strokes that do ot represet writig o paper but rather the retur lies of pe movemet. I this paper, two visual iterface systems, a sigle-camera system ad a multi-camera system, that eable recogitio of characters writte i a sigle stroke usig a light emissio diode (LED) pe are preseted. A computer recogizes the hadwritte katakaa letters usig their directio codes. This system ca be used as a iterface tool for computers ad a istructio tool for robots. Fig. shows a example as a robot cotrol commad. The character commad meas Go forward. II. DETECTION METHOD The developed system uses a TV camera to detect movemets of a LED pe. A butto o the pe is pressed whe writig a character. Fig. shows the positios of the LED light for each frame. The x, y positio data of poits of light are coverted ito directio codes represetig directio vectors (see Fig. 3). The movemet distace ρ i ad agle θ i are calculated for each light positio by the followig equatios: ( x x ) + ( y y ) ρ i = i i i i, () ad y i yi θ = arcta, i xi xi () //$6. IEEE 6
2 where (x i,y i ) is the coordiate pair of the i-th light positio P i, ρ i is the distace betwee P i (x i,y i ) ad P i- (x i-,y i- ) ad θ i is the agle of the vector from (x i-,y i- ) to (x i,y i ). The agles are each coverted ito oe of the eight directio codes that are show i Fig.. The agle rages of the directio codes have differet widths. Agle rages for vertical ad horizotal directios are arrow (3 ) ad those for slat directios are wide (6 ). This is because the agles used for slat strokes are more varied tha those for vertical ad horizotal strokes. Fig. 5 shows a katakaa ad its directio codes. O-strokes (,,,) ad off-strokes (7,5) are mixed. X[pixel] Fig. 6 Rejectio of tremblig poits. Y[pi xel] III. RECOGNITION ALGORITHM A. Rejectio of Tremblig Poits Sometimes, at the begiig of writig, light poits are crowded ad the movemet distace ρ is very small. A example is show i Fig. 6. We call these poits tremblig poits, ad it is reasoable to reject these poits from the locus of the character. If the movemet distace ρ is smaller tha pixels, the directio code data for the light poit is rejected. Fig. Pi-( xi-, yi- ) Detectio of LED pe tip ρi Fig θi Directio vector. 8 Fig Pi ( xi, yi ) 5 3 Eight directio codes. 5-5 B. Code Normalizatio by Speed The writig speeds are differet for each perso. These speeds also chage durig the strokes of a character. However, the image capture speed is costat (3 frames/secod). Therefore, to remove the ifluece of writig speed, the directio codes are ormalized to data accordig to the displacemet ρ i. The origial directio code series h j ( j= to max) is ormalized based o the displacemets to the code series H k (k = to ) havig directio codes. The H k is determied by the followig equatio. H k = h j, ρ k ρsum j j ρi ρi < k ρsum ρsum for j=, for where ρ sum is the total legth of strokes, give by j max, (3) 7 max ρ sum = ρ i 5 Fig. 5 Example: the directio codes Fig. 7 shows x, y positios of light poits of a character for each frame. The origial directio codes ad the speeds for each frame are show i Fig. 8. It is clear that the speed of the LED pe chages drastically, from to 6 pixels/frame, over the course of drawig the character. Fig. 9 shows the result of the speed ormalizatio. The ormalizatio is especially effective at the begiig of a character. 63
3 X[pixel] Test data Model data Y[pixel] Fig. 7 x, y positios of light poits for each frame of a character. Fig. Partial Matchig of Katakaa コ (ko). Lightig poit speed [pixels/frame] Directio Code Speed Directio code 3 Frame Number 8 6 Fig. 8 Speed of the LED pe ad the origial directio codes. Origial Normalized 6 8 Normarized Number Fig. 9 Coversio to speed-ormalized directio codes. Directio code Equatio (5) defies the mea of the errors. The fial decisio is doe by fidig the smallest E from amog all characters. δd = d test -d model ; () if δd > the δe = 8-δd ; Ne ( δei ) E =, (5) Ne where Ne is the umber of elimiated data. D. Oblique Characters It is difficult for a perso lyig i bed to write a character so that the character is upright with respect to a camera. I this case, the perso writes a straight lie that is horizotal from his or her perspective. The lie is writte right to left, as show i Fig.. The system calculates the deviatio σ of agle θ usig equatio (6), ad if the deviatio σ is smaller tha threshold σ t, the system chages the defiitio of the horizotal lie agle to θ ave defied by equatio (7). The rage for each directio code show i Fig. is rotated by agle θ ave. Fig. shows the ew horizotal lie X for the oblique character. C. Partial Matchig The ormalized directio codes of a had gesture are compared with directio codes of model data. Fig. shows the matchig of a gesture with model data. Some mismatchig occurs at directio code chagig poits. This is because the percetages of each stroke differ slightly accordig to the writer. Directio code data deviatig by +/- directios codes from the model, idicated by gray i Fig., are elimiated from the matchig-test data. The differeces of directio codes (δd) betwee test dataad model data are calculated by equatio (). Because the directio codes correspod to a circle, as show i Fig., the maximum possible differece is. That is, if the differece of the directio code umbers is 7, the real differece is. N σ = ( θ i θ ave ), N (6) where N θi θ ave =. N (7) θn θn- θ θ Fig. Detectio of horizotal agle θ ave. 6
4 Y X θave camera camera Fig. Oblique character ad the ew horizotal lie X. LED Pe IV. MULTI-CAMERA SYSTEM I the multi-camera system, a perso performs a character hadwritig gesture i the air, ad four TV cameras are used to capture the data of the LED light poits. Because the sigle-camera system used oly oe camera, the operator was required to write the letters i view of the camera. However, it is sometimes difficult to fid a camera for a character hadwritig gesture. Therefore, we developed a system that does ot deped o the gesture directio. Fig. 3 shows a example of the proposed multi-camera system. A. Selectio of Two Cameras Four TV cameras detect the movemets of a LED pe. The surface of the LED is modified to icrease light diffusio. A butto o the LED pe is pressed whe writig a character. Two cameras are selected for use i calculatig the 3-D positios of the light poits. This selectio is performed by comparig the areas of the light-poit trajectories obtaied from the four cameras. The trajectory area is defied as the area of the smallest rectagle that ecloses the trajectory. First, the camera havig the largest trajectory area is selected. The, the trajectory areas of the two adjacet cameras are compared, ad the camera havig the larger area is selected. Fig. shows the images obtaied by the four cameras. I Fig., cameras ad are selected for the calculatio of the 3-D positios of the light poits. B. Detectio of 3-D Positio The 3-D positios of light poits are calculated usig two cameras. The coordiates of the light poits for the left-had camera are represeted as (x c,y c ) ad those for the right-had camera are represeted as (x p,y p ). The 3-D coordiates (X,Y,Z) of the light poits are calculated as follows: camer Fig. 3 Gesture recogitio system with multi-camera. camera 3 camera Fig. Trajectories of light poits for four cameras. C C3xc C C3xc C3 C33xc X x c C, (8) C C3yc C C3yc C3 C33yc Y = yc C P P3xp P P3xp P3 P33xp Z xp P where C ij ad P ij are camera parameter values of right-had ad left-had cameras, respectively, which are obtaied from camera calibratio procedure []. C. Coversio to the Frot View The character drawig plae is calculated from the 3-D coordiates (X,Y,Z) of the light poits. The plae is expressed by the followig equatio: ax + by + cz + d = (9) where a, b, ad c are the compoets of a vector ormal to the plae. The values of a, b, ad c are obtaied by solvig the followig equatio: X i i = X iyi i = X i Z i i = X iyi i = Yi i = Yi Z i i = X i Z i X i i = a i = = Yi Z i b Yi i = c i = Z i Z i i = i = () where is the total umber of light poits. To obtai a frot view of the character, the drawig plae is rotated so that the ormal vector is matched to the Z-axis. The rotatio agles (θ,φ) are calculated by the followig equatios: X-axis rotatio agle: b θ = si, () b + c ad Y-axis rotatio agle: a φ = si. () a + b 65
5 Y φ X Z θ Fig. 5 Rotatio agles. B. Sigle Camera System Results ad Discussios ) Test ( Perso) Had gestures were repeated times for 6 characters ad cosoat diacritics. The model data are prepared for the specific perso. The average recogitio success rate was 9.9%. The success rate was 79.% without the partial matchig algorithm. This is the improvemet of 3.5%. ) Test (5 People) The 5 test subjects (all male studets) tried katakaa had gestures. They drew each character times. The directio codes of the model data were previously determied from stadard katakaa fots. The recogitio success rate depeded very much o the text subject. The highest success rate amog the 5 subjects was 9.6%, the lowest rate was 7.%, ad the mea rate was 8.7%. Table shows the success rates for each character. The diacritic gestures ad were recogized at high rates. It was difficult to distiguish betwee some characters due to similarities i their directio code patters. TABLE RECOGNITION RATES FOR THE 5 SUBJECTS (%) ア 55.3 カ 96.7 サ 88 タ 96 ナ 98 イ 7.7 キ 88 シ 89.3 チ 9 ニ 8 ウ 68 ク 93.3 ス 86.7 ツ 96.7 ヌ 7 エ 8.7 ケ 66 セ 6 テ 83.3 ネ 98.7 オ 86.7 コ 96 ソ 63.3 ト 87.3 ノ Fig. 6 Coversio to the frot view. Fig. 5 shows the rotatio agles. Fig. 6 shows the procedure for the coversio to the frot view. Ⅴ. EXPERIMENTS A. Experimetal Set-Up ) Sigle Camera System A CCD TV camera (/ ich CCD, f = 6 mm) picks-up the LED movemets. A image processor IP7 (Hitachi) is used for image capture ad recogitio. The image size is 5 x pixels. ) Multi-Camera System Fig. 7 shows the experimetal set-up. The distace betwee the cameras is 3 m. The camera calibratio was performed usig eight corer poits of a 9 cm cubic agle iro jig. Fig Operator m 7 Experimetal set-up for the multi-camera system. ハ 96.7 マ 6.7 ヤ 6.7 ラ 76.7 ワ 75.3 ヒ 9 ミ リ 8 ヲ 86 フ 97.3 ム 68 ユ 89.3 ル 96.7 ン 78 ヘ メ レ 9.7 ホ 76 モ 78 ヨ 9.7 ロ C. Multi-Camera System Results ad Discussios ) Recogitio Rate The recogitio rates of the sigle-camera system ad the multi-camera system were compared. The writig agles were varied i icremets of 5º, ad each character recogitio rate was measured. Gestures for each character were performed times. Figs. 8 ad 9 show the success rates for each character. I the sigle-camera system, a high recogitio rate was obtaied oly i frot of the camera. O the other had, high recogitio rates were obtaied for ay directios usig the multi-camera system. The processig time of the image processor was. sec/character. Fig. shows the overall success rate for four successive characters. ) Directio Distictio Accuracy The directios i which the characters were writte ca be detected by the Y-axis rotatio agle φ give i Equatio (). The stadard deviatio of the agle φ was tested for each directio ad was foud to be.5. Therefore, this system has the ability to distiguish directio i icremets of 9 (σ). This meas that directios ca be distiguished. 66
6 Oe applicatio of this techique could be for remote cotrol for home appliaces. There are may ifrared remote cotrollers i use, for example, for TV sets, air coditioers, hi-fi sets, ad video-recorders. The umber of cotrollers could be reduced by adoptig gesture recogitio systems. V. CONCLUSION Fig. 8 Recogitio rates for character ヒ (hi). We have developed two visual iterface systems, a sigle-camera system ad a multi-camera system, that eable recogitio of katakaa characters writte i a sigle stroke usig a LED pe. TV cameras are used to capture the light trajectories ad these trajectories are coverted ito directio codes. The directio codes are ormalized to remove variatios i writig speed. The code series are compared with model data i which the katakaa directio codes are defied. I the experimet, we have achieved a mea recogitio rate of 9.9% for oe subject ad 8.7% overall for the 5 test subjects. It is possible to exted these systems to iclude hiragaa characters, simple kaji characters, ad Eglish alphabets. The multi-camera system ca recogize hadwritig character gestures from ay agles. The 3-D positios of the light poits are calculated, ad the data are trasformed ito data represetig the frot view positio. The success rate for recogitio was 9%. The multi-camera system also has the ability to distiguish directio i icremets of 9º. Future work will be to improve the reliability of the systems ad to develop a robot system that ca recogize had character gestures ad ca talk with a perso. REFERENCES Fig. 9 Recogitio rates for character ロ (ro). Fig. Recogitio rates for characters ヒロシマ (hiroshima). [] Tomoari Sooda ad Yoichi Muraoka, "A Letter Iput System of Hadwritig Gesture," IEICE Tras. Vol.J86-D-Ⅱ, No.7, pp.5-5, 3 (i Japaese). [] Masaji Katagiri ad Toshiaki Sugimura, "Persoal Autheticatio by Sigatures i the Air with a Video Camera," Techical Report of IEICE, PRMU-3, pp.9-6, (i Japaese). [3] Hee-Deok Yag, A-Yeo Park, Seog-Wha Lee, "Gesture Spottig ad Recogitio for Huma-Robot Iteractio," IEEE Tras.ROBOTICS, Vol.3, No., pp.56-7, 7 [] Thierry Artieres, Saparith Marukatat, Patrick Galliari,"Olie Hadwritte Shape Recogitio Usig Segmetal Hidde Markov Models," IEEE Tras. PAMI, Vol.9, No., pp.5-7, 7 [5] Jae-Wa Park, Jog-Gu Kim, Dog-Mi Kim, Mi-Yeog Chog, Chil-Woo Lee, "Learig Touch Gestures usig HMM o Tabletop Display, " Proc. 6th Korea-Japa Joit Workshop o Frotiers of Computer Visio, pp.7-3, [6] Hyeo-Kyu Lee ad Ji H. Kim, "A HMM-Based Threshold Model Approach for Gesture Recogitio," IEEE Tras. PAMI, Vol., No., pp , 999. [7] Kota IRIE, Kazuori UMEDA,"Detectio of Wavig Hads from Images - Applicatio of FFT to time series of itesity values -",Proc. 3rd Chia-Japa Symposium o Mechatroics, pp.79-83,. [8] Kota Irie, Naohiro Wakamura, Kazuori Umeda, "Costructio of a Itelliget Room Based o Gesture Recogitio," Proc. IEEE/RSJ It. Cof. o Itelliget Robots ad Systems, pp.93-98,. [9] Ho-Sub Yoo, Jug Soh, Byug-Woo Mi, ad Hyu Seug Yag, " Recogitio of Alphabetical Had Gestures Usig Hidde Markov Model," IEICE Tras. Vol.E8-A, No.7, pp ,999. [] Tim Morris, Computer visio ad image processig, Palgrave macmilla, p.6,. 67
Pattern Recognition Systems Lab 1 Least Mean Squares
Patter Recogitio Systems Lab 1 Least Mea Squares 1. Objectives This laboratory work itroduces the OpeCV-based framework used throughout the course. I this assigmet a lie is fitted to a set of poits usig
More information( n+1 2 ) , position=(7+1)/2 =4,(median is observation #4) Median=10lb
Chapter 3 Descriptive Measures Measures of Ceter (Cetral Tedecy) These measures will tell us where is the ceter of our data or where most typical value of a data set lies Mode the value that occurs most
More informationUsing the Keyboard. Using the Wireless Keyboard. > Using the Keyboard
1 A wireless keyboard is supplied with your computer. The wireless keyboard uses a stadard key arragemet with additioal keys that perform specific fuctios. Usig the Wireless Keyboard Two AA alkalie batteries
More information3D Model Retrieval Method Based on Sample Prediction
20 Iteratioal Coferece o Computer Commuicatio ad Maagemet Proc.of CSIT vol.5 (20) (20) IACSIT Press, Sigapore 3D Model Retrieval Method Based o Sample Predictio Qigche Zhag, Ya Tag* School of Computer
More informationEigenimages. Digital Image Processing: Bernd Girod, 2013 Stanford University -- Eigenimages 1
Eigeimages Uitary trasforms Karhue-Loève trasform ad eigeimages Sirovich ad Kirby method Eigefaces for geder recogitio Fisher liear discrimat aalysis Fisherimages ad varyig illumiatio Fisherfaces vs. eigefaces
More informationChapter 1. Introduction to Computers and C++ Programming. Copyright 2015 Pearson Education, Ltd.. All rights reserved.
Chapter 1 Itroductio to Computers ad C++ Programmig Copyright 2015 Pearso Educatio, Ltd.. All rights reserved. Overview 1.1 Computer Systems 1.2 Programmig ad Problem Solvig 1.3 Itroductio to C++ 1.4 Testig
More informationThe Closest Line to a Data Set in the Plane. David Gurney Southeastern Louisiana University Hammond, Louisiana
The Closest Lie to a Data Set i the Plae David Gurey Southeaster Louisiaa Uiversity Hammod, Louisiaa ABSTRACT This paper looks at three differet measures of distace betwee a lie ad a data set i the plae:
More informationHarris Corner Detection Algorithm at Sub-pixel Level and Its Application Yuanfeng Han a, Peijiang Chen b * and Tian Meng c
Iteratioal Coferece o Computatioal Sciece ad Egieerig (ICCSE 015) Harris Corer Detectio Algorithm at Sub-pixel Level ad Its Applicatio Yuafeg Ha a, Peijiag Che b * ad Tia Meg c School of Automobile, Liyi
More information. Written in factored form it is easy to see that the roots are 2, 2, i,
CMPS A Itroductio to Programmig Programmig Assigmet 4 I this assigmet you will write a java program that determies the real roots of a polyomial that lie withi a specified rage. Recall that the roots (or
More informationNeuro Fuzzy Model for Human Face Expression Recognition
IOSR Joural of Computer Egieerig (IOSRJCE) ISSN : 2278-0661 Volume 1, Issue 2 (May-Jue 2012), PP 01-06 Neuro Fuzzy Model for Huma Face Expressio Recogitio Mr. Mayur S. Burage 1, Prof. S. V. Dhopte 2 1
More informationPerformance Plus Software Parameter Definitions
Performace Plus+ Software Parameter Defiitios/ Performace Plus Software Parameter Defiitios Chapma Techical Note-TG-5 paramete.doc ev-0-03 Performace Plus+ Software Parameter Defiitios/2 Backgroud ad Defiitios
More informationEigenimages. Digital Image Processing: Bernd Girod, Stanford University -- Eigenimages 1
Eigeimages Uitary trasforms Karhue-Loève trasform ad eigeimages Sirovich ad Kirby method Eigefaces for geder recogitio Fisher liear discrimat aalysis Fisherimages ad varyig illumiatio Fisherfaces vs. eigefaces
More informationDETECTION OF LANDSLIDE BLOCK BOUNDARIES BY MEANS OF AN AFFINE COORDINATE TRANSFORMATION
Proceedigs, 11 th FIG Symposium o Deformatio Measuremets, Satorii, Greece, 2003. DETECTION OF LANDSLIDE BLOCK BOUNDARIES BY MEANS OF AN AFFINE COORDINATE TRANSFORMATION Michaela Haberler, Heribert Kahme
More informationAlpha Individual Solutions MAΘ National Convention 2013
Alpha Idividual Solutios MAΘ Natioal Covetio 0 Aswers:. D. A. C 4. D 5. C 6. B 7. A 8. C 9. D 0. B. B. A. D 4. C 5. A 6. C 7. B 8. A 9. A 0. C. E. B. D 4. C 5. A 6. D 7. B 8. C 9. D 0. B TB. 570 TB. 5
More informationAccuracy Improvement in Camera Calibration
Accuracy Improvemet i Camera Calibratio FaJie L Qi Zag ad Reihard Klette CITR, Computer Sciece Departmet The Uiversity of Aucklad Tamaki Campus, Aucklad, New Zealad fli006, qza001@ec.aucklad.ac.z r.klette@aucklad.ac.z
More informationIMP: Superposer Integrated Morphometrics Package Superposition Tool
IMP: Superposer Itegrated Morphometrics Package Superpositio Tool Programmig by: David Lieber ( 03) Caisius College 200 Mai St. Buffalo, NY 4208 Cocept by: H. David Sheets, Dept. of Physics, Caisius College
More informationAPPLICATION NOTE PACE1750AE BUILT-IN FUNCTIONS
APPLICATION NOTE PACE175AE BUILT-IN UNCTIONS About This Note This applicatio brief is iteded to explai ad demostrate the use of the special fuctios that are built ito the PACE175AE processor. These powerful
More informationStone Images Retrieval Based on Color Histogram
Stoe Images Retrieval Based o Color Histogram Qiag Zhao, Jie Yag, Jigyi Yag, Hogxig Liu School of Iformatio Egieerig, Wuha Uiversity of Techology Wuha, Chia Abstract Stoe images color features are chose
More informationA New Morphological 3D Shape Decomposition: Grayscale Interframe Interpolation Method
A ew Morphological 3D Shape Decompositio: Grayscale Iterframe Iterpolatio Method D.. Vizireau Politehica Uiversity Bucharest, Romaia ae@comm.pub.ro R. M. Udrea Politehica Uiversity Bucharest, Romaia mihea@comm.pub.ro
More informationParabolic Path to a Best Best-Fit Line:
Studet Activity : Fidig the Least Squares Regressio Lie By Explorig the Relatioship betwee Slope ad Residuals Objective: How does oe determie a best best-fit lie for a set of data? Eyeballig it may be
More informationThe number n of subintervals times the length h of subintervals gives length of interval (b-a).
Simulator with MadMath Kit: Riema Sums (Teacher s pages) I your kit: 1. GeoGebra file: Ready-to-use projector sized simulator: RiemaSumMM.ggb 2. RiemaSumMM.pdf (this file) ad RiemaSumMMEd.pdf (educator's
More informationThe Nature of Light. Chapter 22. Geometric Optics Using a Ray Approximation. Ray Approximation
The Nature of Light Chapter Reflectio ad Refractio of Light Sectios: 5, 8 Problems: 6, 7, 4, 30, 34, 38 Particles of light are called photos Each photo has a particular eergy E = h ƒ h is Plack s costat
More informationUsing GR8BIT Language Pack and PS/2 Keyboard
GR8BIT knowledge base article #KB0004 Aug 14, 2012 (Mar 03, 2012) Severity: Information Eugeny Brychkov, RU Using GR8BIT Language Pack and PS/2 Keyboard Overview: Language pack allows you to easily switch
More informationSD vs. SD + One of the most important uses of sample statistics is to estimate the corresponding population parameters.
SD vs. SD + Oe of the most importat uses of sample statistics is to estimate the correspodig populatio parameters. The mea of a represetative sample is a good estimate of the mea of the populatio that
More informationEvaluation scheme for Tracking in AMI
A M I C o m m u i c a t i o A U G M E N T E D M U L T I - P A R T Y I N T E R A C T I O N http://www.amiproject.org/ Evaluatio scheme for Trackig i AMI S. Schreiber a D. Gatica-Perez b AMI WP4 Trackig:
More informationImage Segmentation EEE 508
Image Segmetatio Objective: to determie (etract) object boudaries. It is a process of partitioig a image ito distict regios by groupig together eighborig piels based o some predefied similarity criterio.
More informationAn Efficient Image Rectification Method for Parallel Multi-Camera Arrangement
Y.-S. Kag ad Y.-S. Ho: A Efficiet Image Rectificatio Method for Parallel Multi-Camera Arragemet 141 A Efficiet Image Rectificatio Method for Parallel Multi-Camera Arragemet Yu-Suk Kag ad Yo-Sug Ho, Seior
More informationOrientation. Orientation 10/28/15
Orietatio Orietatio We will defie orietatio to mea a object s istataeous rotatioal cofiguratio Thik of it as the rotatioal equivalet of positio 1 Represetig Positios Cartesia coordiates (x,y,z) are a easy
More informationCOMP 558 lecture 6 Sept. 27, 2010
Radiometry We have discussed how light travels i straight lies through space. We would like to be able to talk about how bright differet light rays are. Imagie a thi cylidrical tube ad cosider the amout
More informationHandwriting Stroke Extraction Using a New XYTC Transform
Hadwritig Stroke Etractio Usig a New XYTC Trasform Gilles F. Houle 1, Kateria Bliova 1 ad M. Shridhar 1 Computer Scieces Corporatio Uiversity Michiga-Dearbor Abstract: The fudametal represetatio of hadwritig
More informationA New Protocol for On-Line User Identification Based on Hand-Writing Characters
A New Protocol for On-Line User Identification Based on Hand-Writing Characters Ryota Hanyu, Qiangfu Zhao, Yuya Kaneda The University of Aizu Aizu-wakamatsu, Fukushima, Japan, 965-8580 Email: {m592, qf-zhao,
More informationArithmetic Sequences
. Arithmetic Sequeces COMMON CORE Learig Stadards HSF-IF.A. HSF-BF.A.1a HSF-BF.A. HSF-LE.A. Essetial Questio How ca you use a arithmetic sequece to describe a patter? A arithmetic sequece is a ordered
More informationCOMPLEMENTARY SIMILARITY MEASURE
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, VOL. 20, NO. 0, OCTOBER 998 03 Text-Lie Extractio ad Character Recogitio of Documet Headlies With Graphical Desigs Usig Complemetary Similarity
More informationThe isoperimetric problem on the hypercube
The isoperimetric problem o the hypercube Prepared by: Steve Butler November 2, 2005 1 The isoperimetric problem We will cosider the -dimesioal hypercube Q Recall that the hypercube Q is a graph whose
More informationOn-line cursive letter recognition using sequences of local minima/maxima. Robert Powalka
O-lie cursive letter recogitio usig sequeces of local miima/maxima Summary Robert Powalka 19 th August 1993 This report presets the desig ad implemetatio of a o-lie cursive letter recogizer usig sequeces
More informationIntermediate Statistics
Gait Learig Guides Itermediate Statistics Data processig & display, Cetral tedecy Author: Raghu M.D. STATISTICS DATA PROCESSING AND DISPLAY Statistics is the study of data or umerical facts of differet
More informationComputers and Scientific Thinking
Computers ad Scietific Thikig David Reed, Creighto Uiversity Chapter 15 JavaScript Strigs 1 Strigs as Objects so far, your iteractive Web pages have maipulated strigs i simple ways use text box to iput
More informationCSC 220: Computer Organization Unit 11 Basic Computer Organization and Design
College of Computer ad Iformatio Scieces Departmet of Computer Sciece CSC 220: Computer Orgaizatio Uit 11 Basic Computer Orgaizatio ad Desig 1 For the rest of the semester, we ll focus o computer architecture:
More informationPython Programming: An Introduction to Computer Science
Pytho Programmig: A Itroductio to Computer Sciece Chapter 1 Computers ad Programs 1 Objectives To uderstad the respective roles of hardware ad software i a computig system. To lear what computer scietists
More informationDynamic Programming and Curve Fitting Based Road Boundary Detection
Dyamic Programmig ad Curve Fittig Based Road Boudary Detectio SHYAM PRASAD ADHIKARI, HYONGSUK KIM, Divisio of Electroics ad Iformatio Egieerig Chobuk Natioal Uiversity 664-4 Ga Deokji-Dog Jeoju-City Jeobuk
More informationBezier curves. Figure 2 shows cubic Bezier curves for various control points. In a Bezier curve, only
Edited: Yeh-Liag Hsu (998--; recommeded: Yeh-Liag Hsu (--9; last updated: Yeh-Liag Hsu (9--7. Note: This is the course material for ME55 Geometric modelig ad computer graphics, Yua Ze Uiversity. art of
More informationNormals. In OpenGL the normal vector is part of the state Set by glnormal*()
Ray Tracig 1 Normals OpeG the ormal vector is part of the state Set by glnormal*() -glnormal3f(x, y, z); -glnormal3fv(p); Usually we wat to set the ormal to have uit legth so cosie calculatios are correct
More informationMATHEMATICAL METHODS OF ANALYSIS AND EXPERIMENTAL DATA PROCESSING (Or Methods of Curve Fitting)
MATHEMATICAL METHODS OF ANALYSIS AND EXPERIMENTAL DATA PROCESSING (Or Methods of Curve Fittig) I this chapter, we will eamie some methods of aalysis ad data processig; data obtaied as a result of a give
More informationA Note on Least-norm Solution of Global WireWarping
A Note o Least-orm Solutio of Global WireWarpig Charlie C. L. Wag Departmet of Mechaical ad Automatio Egieerig The Chiese Uiversity of Hog Kog Shati, N.T., Hog Kog E-mail: cwag@mae.cuhk.edu.hk Abstract
More information1. Introduction o Microscopic property responsible for MRI Show and discuss graphics that go from macro to H nucleus with N-S pole
Page 1 Very Quick Itroductio to MRI The poit of this itroductio is to give the studet a sufficietly accurate metal picture of MRI to help uderstad its impact o image registratio. The two major aspects
More informationImprovement of the Orthogonal Code Convolution Capabilities Using FPGA Implementation
Improvemet of the Orthogoal Code Covolutio Capabilities Usig FPGA Implemetatio Naima Kaabouch, Member, IEEE, Apara Dhirde, Member, IEEE, Saleh Faruque, Member, IEEE Departmet of Electrical Egieerig, Uiversity
More informationComputer Graphics Hardware An Overview
Computer Graphics Hardware A Overview Graphics System Moitor Iput devices CPU/Memory GPU Raster Graphics System Raster: A array of picture elemets Based o raster-sca TV techology The scree (ad a picture)
More informationOCR Statistics 1. Working with data. Section 3: Measures of spread
Notes ad Eamples OCR Statistics 1 Workig with data Sectio 3: Measures of spread Just as there are several differet measures of cetral tedec (averages), there are a variet of statistical measures of spread.
More informationLearning to Shoot a Goal Lecture 8: Learning Models and Skills
Learig to Shoot a Goal Lecture 8: Learig Models ad Skills How do we acquire skill at shootig goals? CS 344R/393R: Robotics Bejami Kuipers Learig to Shoot a Goal The robot eeds to shoot the ball i the goal.
More informationPLEASURE TEST SERIES (XI) - 04 By O.P. Gupta (For stuffs on Math, click at theopgupta.com)
wwwtheopguptacom wwwimathematiciacom For all the Math-Gya Buy books by OP Gupta A Compilatio By : OP Gupta (WhatsApp @ +9-9650 350 0) For more stuffs o Maths, please visit : wwwtheopguptacom Time Allowed
More informationEvaluation of Different Fitness Functions for the Evolutionary Testing of an Autonomous Parking System
Evaluatio of Differet Fitess Fuctios for the Evolutioary Testig of a Autoomous Parkig System Joachim Wegeer 1 ad Oliver Bühler 2 1 DaimlerChrysler AG, Research ad Techology, Alt-Moabit 96 a, D-10559 Berli,
More informationPython Programming: An Introduction to Computer Science
Pytho Programmig: A Itroductio to Computer Sciece Chapter 6 Defiig Fuctios Pytho Programmig, 2/e 1 Objectives To uderstad why programmers divide programs up ito sets of cooperatig fuctios. To be able to
More informationHow do we evaluate algorithms?
F2 Readig referece: chapter 2 + slides Algorithm complexity Big O ad big Ω To calculate ruig time Aalysis of recursive Algorithms Next time: Litterature: slides mostly The first Algorithm desig methods:
More informationCS Polygon Scan Conversion. Slide 1
CS 112 - Polygo Sca Coversio Slide 1 Polygo Classificatio Covex All iterior agles are less tha 180 degrees Cocave Iterior agles ca be greater tha 180 degrees Degeerate polygos If all vertices are colliear
More informationChapter 11. Friends, Overloaded Operators, and Arrays in Classes. Copyright 2014 Pearson Addison-Wesley. All rights reserved.
Chapter 11 Frieds, Overloaded Operators, ad Arrays i Classes Copyright 2014 Pearso Addiso-Wesley. All rights reserved. Overview 11.1 Fried Fuctios 11.2 Overloadig Operators 11.3 Arrays ad Classes 11.4
More informationCubic Polynomial Curves with a Shape Parameter
roceedigs of the th WSEAS Iteratioal Coferece o Robotics Cotrol ad Maufacturig Techology Hagzhou Chia April -8 00 (pp5-70) Cubic olyomial Curves with a Shape arameter MO GUOLIANG ZHAO YANAN Iformatio ad
More informationNew HSL Distance Based Colour Clustering Algorithm
The 4th Midwest Artificial Itelligece ad Cogitive Scieces Coferece (MAICS 03 pp 85-9 New Albay Idiaa USA April 3-4 03 New HSL Distace Based Colour Clusterig Algorithm Vasile Patrascu Departemet of Iformatics
More informationDescriptive Statistics Summary Lists
Chapter 209 Descriptive Statistics Summary Lists Itroductio This procedure is used to summarize cotiuous data. Large volumes of such data may be easily summarized i statistical lists of meas, couts, stadard
More informationCS 683: Advanced Design and Analysis of Algorithms
CS 683: Advaced Desig ad Aalysis of Algorithms Lecture 6, February 1, 2008 Lecturer: Joh Hopcroft Scribes: Shaomei Wu, Etha Feldma February 7, 2008 1 Threshold for k CNF Satisfiability I the previous lecture,
More informationChapter 3 Classification of FFT Processor Algorithms
Chapter Classificatio of FFT Processor Algorithms The computatioal complexity of the Discrete Fourier trasform (DFT) is very high. It requires () 2 complex multiplicatios ad () complex additios [5]. As
More informationComputational Geometry
Computatioal Geometry Chapter 4 Liear programmig Duality Smallest eclosig disk O the Ageda Liear Programmig Slides courtesy of Craig Gotsma 4. 4. Liear Programmig - Example Defie: (amout amout cosumed
More informationPosition and Velocity Estimation by Ultrasonic Sensor
Positio ad Velocity Estimatio by Ultrasoic Sesor N Ramarao 1, A R Subramayam 2, J Chara Raj 2, Lalith B V 2, Varu K R 2 1 (Faculty of EEE, BMSIT & M, INDIA) 2 (Studets of EEE, BMSIT & M, INDIA) Abstract:
More informationBaan Tools User Management
Baa Tools User Maagemet Module Procedure UP008A US Documetiformatio Documet Documet code : UP008A US Documet group : User Documetatio Documet title : User Maagemet Applicatio/Package : Baa Tools Editio
More informationAuto-recognition Method for Pointer-type Meter Based on Binocular Vision
JOURNAL OF COMPUTERS, VOL. 9, NO. 4, APRIL 204 787 Auto-recogitio Method for Poiter-type Meter Based o Biocular Visio Biao Yag School of Istrumet Sciece ad Egieerig, Southeast Uiversity, Najig 20096, Chia
More informationComputer Systems - HS
What have we leared so far? Computer Systems High Level ENGG1203 2d Semester, 2017-18 Applicatios Sigals Systems & Cotrol Systems Computer & Embedded Systems Digital Logic Combiatioal Logic Sequetial Logic
More informationFire Recognition in Video. Walter Phillips III Mubarak Shah Niels da Vitoria Lobo.
Fire Recogitio i Video Walter Phillips III Mubarak Shah Niels da Vitoria Lobo {wrp65547,shah,iels}@cs.ucf.edu Computer Visio Laboratory Departmet of Computer Sciece Uiversity of Cetral Florida Orlado,
More information27 Refraction, Dispersion, Internal Reflection
Chapter 7 Refractio, Dispersio, Iteral Reflectio 7 Refractio, Dispersio, Iteral Reflectio Whe we talked about thi film iterferece, we said that whe light ecouters a smooth iterface betwee two trasparet
More informationOne advantage that SONAR has over any other music-sequencing product I ve worked
*gajedra* D:/Thomso_Learig_Projects/Garrigus_163132/z_productio/z_3B2_3D_files/Garrigus_163132_ch17.3d, 14/11/08/16:26:39, 16:26, page: 647 17 CAL 101 Oe advatage that SONAR has over ay other music-sequecig
More informationText Line Segmentation Based on Morphology and Histogram Projection
2009 10th Iteratioal Coferece o Documet Aalsis ad Recogitio Tet Lie Segmetatio Based o Morpholog ad Histogram Projectio Rodolfo P. dos Satos, Gabriela S. Clemete, Tsag Ig Re ad George D.C. Calvalcati Ceter
More informationON THE QUALITY OF AUTOMATIC RELATIVE ORIENTATION PROCEDURES
ON THE QUALITY OF AUTOMATIC RELATIVE ORIENTATION PROCEDURES Thomas Läbe, Timo Dickscheid ad Wolfgag Förster Istitute of Geodesy ad Geoiformatio, Departmet of Photogrammetry, Uiversity of Bo laebe@ipb.ui-bo.de,
More informationEVALUATION OF TRIGONOMETRIC FUNCTIONS
EVALUATION OF TRIGONOMETRIC FUNCTIONS Whe first exposed to trigoometric fuctios i high school studets are expected to memorize the values of the trigoometric fuctios of sie cosie taget for the special
More informationFundamentals of Media Processing. Shin'ichi Satoh Kazuya Kodama Hiroshi Mo Duy-Dinh Le
Fudametals of Media Processig Shi'ichi Satoh Kazuya Kodama Hiroshi Mo Duy-Dih Le Today's topics Noparametric Methods Parze Widow k-nearest Neighbor Estimatio Clusterig Techiques k-meas Agglomerative Hierarchical
More informationWorld Scientific Research Journal (WSRJ) ISSN: Research on Fresnel Lens Optical Receiving Antenna in Indoor Visible
World Scietific Research Joural (WSRJ) ISSN: 2472-3703 www.wsr-j.org Research o Fresel Les Optical Receivig Atea i Idoor Visible Light Commuicatio Zhihua Du College of Electroics Egieerig, Chogqig Uiversity
More informationFEATURE BASED RECOGNITION OF TRAFFIC VIDEO STREAMS FOR ONLINE ROUTE TRACING
FEATURE BASED RECOGNITION OF TRAFFIC VIDEO STREAMS FOR ONLINE ROUTE TRACING Christoph Busch, Ralf Dörer, Christia Freytag, Heike Ziegler Frauhofer Istitute for Computer Graphics, Computer Graphics Ceter
More informationENGI 4421 Probability and Statistics Faculty of Engineering and Applied Science Problem Set 1 Descriptive Statistics
ENGI 44 Probability ad Statistics Faculty of Egieerig ad Applied Sciece Problem Set Descriptive Statistics. If, i the set of values {,, 3, 4, 5, 6, 7 } a error causes the value 5 to be replaced by 50,
More informationGE FUNDAMENTALS OF COMPUTING AND PROGRAMMING UNIT III
GE2112 - FUNDAMENTALS OF COMPUTING AND PROGRAMMING UNIT III PROBLEM SOLVING AND OFFICE APPLICATION SOFTWARE Plaig the Computer Program Purpose Algorithm Flow Charts Pseudocode -Applicatio Software Packages-
More informationDesigning a learning system
CS 75 Machie Learig Lecture Desigig a learig system Milos Hauskrecht milos@cs.pitt.edu 539 Seott Square, x-5 people.cs.pitt.edu/~milos/courses/cs75/ Admiistrivia No homework assigmet this week Please try
More informationElementary Educational Computer
Chapter 5 Elemetary Educatioal Computer. Geeral structure of the Elemetary Educatioal Computer (EEC) The EEC coforms to the 5 uits structure defied by vo Neuma's model (.) All uits are preseted i a simplified
More informationOnes Assignment Method for Solving Traveling Salesman Problem
Joural of mathematics ad computer sciece 0 (0), 58-65 Oes Assigmet Method for Solvig Travelig Salesma Problem Hadi Basirzadeh Departmet of Mathematics, Shahid Chamra Uiversity, Ahvaz, Ira Article history:
More informationCSC165H1 Worksheet: Tutorial 8 Algorithm analysis (SOLUTIONS)
CSC165H1, Witer 018 Learig Objectives By the ed of this worksheet, you will: Aalyse the ruig time of fuctios cotaiig ested loops. 1. Nested loop variatios. Each of the followig fuctios takes as iput a
More informationare two specific neighboring points, F( x, y)
$33/,&$7,212)7+(6(/)$92,',1* 5$1'20:$/.12,6(5('8&7,21$/*25,7+0,17+(&2/285,0$*(6(*0(17$7,21 %RJGDQ602/.$+HQU\N3$/86'DPLDQ%(5(6.$ 6LOHVLDQ7HFKQLFDO8QLYHUVLW\'HSDUWPHQWRI&RPSXWHU6FLHQFH $NDGHPLFND*OLZLFH32/$1'
More informationSouth Slave Divisional Education Council. Math 10C
South Slave Divisioal Educatio Coucil Math 10C Curriculum Package February 2012 12 Strad: Measuremet Geeral Outcome: Develop spatial sese ad proportioal reasoig It is expected that studets will: 1. Solve
More informationRESEARCH ON AUTOMATIC INSPECTION TECHNIQUE OF REAL-TIME RADIOGRAPHY FOR TURBINE-BLADE
RESEARCH ON AUTOMATIC INSPECTION TECHNIQUE OF REAL-TIME RADIOGRAPHY FOR TURBINE-BLADE Z.G. Zhou, S. Zhao, ad Z.G. A School of Mechaical Egieerig ad Automatio, Beijig Uiversity of Aeroautics ad Astroautics,
More informationUNIT 4 Section 8 Estimating Population Parameters using Confidence Intervals
UNIT 4 Sectio 8 Estimatig Populatio Parameters usig Cofidece Itervals To make ifereces about a populatio that caot be surveyed etirely, sample statistics ca be take from a SRS of the populatio ad used
More informationGetting Started. Getting Started - 1
Gettig Started Gettig Started - 1 Issue 1 Overview of Gettig Started Overview of Gettig Started This sectio explais the basic operatios of the AUDIX system. It describes how to: Log i ad log out of the
More informationEM375 STATISTICS AND MEASUREMENT UNCERTAINTY LEAST SQUARES LINEAR REGRESSION ANALYSIS
EM375 STATISTICS AND MEASUREMENT UNCERTAINTY LEAST SQUARES LINEAR REGRESSION ANALYSIS I this uit of the course we ivestigate fittig a straight lie to measured (x, y) data pairs. The equatio we wat to fit
More informationHand Gesture Recognition for Human-Machine Interaction
Had Gesture Recogitio for Huma-Machie Iteractio Elea Sáchez-Nielse Departmet of Statistic, O.R. ad Computer Sciece, Uiversity of La Lagua Edificio de Física y Matemáticas 38271, La Lagua, Spai eielse@ull.es
More informationImproving Template Based Spike Detection
Improvig Template Based Spike Detectio Kirk Smith, Member - IEEE Portlad State Uiversity petra@ee.pdx.edu Abstract Template matchig algorithms like SSE, Covolutio ad Maximum Likelihood are well kow for
More informationOverview Chapter 12 A display model
Overview Chapter 12 A display model Why graphics? A graphics model Examples Bjare Stroustrup www.stroustrup.com/programmig 3 Why bother with graphics ad GUI? Why bother with graphics ad GUI? It s very
More informationMath 10C Long Range Plans
Math 10C Log Rage Plas Uits: Evaluatio: Homework, projects ad assigmets 10% Uit Tests. 70% Fial Examiatio.. 20% Ay Uit Test may be rewritte for a higher mark. If the retest mark is higher, that mark will
More informationFast algorithm for skew detection. Adnan Amin, Stephen Fischer, Tony Parkinson, and Ricky Shiu
Fast algorithm for skew detectio Ada Ami, Stephe Fischer, Toy Parkiso, ad Ricky Shiu School of Computer Sciece ad Egieerig Uiversity of New South Wales, Sydey NSW, 2052 Australia ABSTRACT Documet image
More informationOperating System Concepts. Operating System Concepts
Chapter 4: Mass-Storage Systems Logical Disk Structure Logical Disk Structure Disk Schedulig Disk Maagemet RAID Structure Disk drives are addressed as large -dimesioal arrays of logical blocks, where the
More information3D MODELING OF STRUCTURES USING BREAK-LINES AND CORNERS IN 3D POINT CLOWD DATA
3D MODELING OF STRUCTURES USING BREAK-LINES AND CORNERS IN 3D POINT CLOWD DATA Hiroshi YOKOYAMA a, Hirofumi CHIKATSU a a Tokyo Deki Uiv., Dept. of Civil Eg., Hatoyama, Saitama, 350-0394 JAPAN - yokoyama@chikatsulab.g.dedai.ac.jp,
More informationA Novel Feature Extraction Algorithm for Haar Local Binary Pattern Texture Based on Human Vision System
A Novel Feature Extractio Algorithm for Haar Local Biary Patter Texture Based o Huma Visio System Liu Tao 1,* 1 Departmet of Electroic Egieerig Shaaxi Eergy Istitute Xiayag, Shaaxi, Chia Abstract The locality
More informationLighting and Shading. Outline. Raytracing Example. Global Illumination. Local Illumination. Radiosity Example
CSCI 480 Computer Graphics Lecture 9 Lightig ad Shadig Light Sources Phog Illumiatio Model Normal Vectors [Agel Ch. 6.1-6.4] February 13, 2013 Jerej Barbic Uiversity of Souther Califoria http://www-bcf.usc.edu/~jbarbic/cs480-s13/
More information. Perform a geometric (ray-optics) construction (i.e., draw in the rays on the diagram) to show where the final image is formed.
MASSACHUSETTS INSTITUTE of TECHNOLOGY Departmet of Electrical Egieerig ad Computer Sciece 6.161 Moder Optics Project Laboratory 6.637 Optical Sigals, Devices & Systems Problem Set No. 1 Geometric optics
More informationImage based Cats and Possums Identification for Intelligent Trapping Systems
Volume 159 No, February 017 Image based Cats ad Possums Idetificatio for Itelliget Trappig Systems T. A. S. Achala Perera School of Egieerig Aucklad Uiversity of Techology New Zealad Joh Collis School
More informationK-NET bus. When several turrets are connected to the K-Bus, the structure of the system is as showns
K-NET bus The K-Net bus is based o the SPI bus but it allows to addressig may differet turrets like the I 2 C bus. The K-Net is 6 a wires bus (4 for SPI wires ad 2 additioal wires for request ad ackowledge
More informationAn Image Retrieval Method Based on Hu Invariant Moment and Improved Annular Histogram
http://dx.doi.org/10.5755/j01.eee.0.4.6888 ELEKTROIKA IR ELEKTROTECHIKA ISS 139 115 VOL. 0 O. 4 014 A Image Retrieval Method Based o Hu Ivariat Momet ad Improved Aular Histogram F. Xiag 1 H. Yog 1 S. Dada
More informationSoft Computing Based Range Facial Recognition Using Eigenface
Soft Computig Based Rage Facial Recogitio Usig Eigeface Yeug-Hak Lee, Chag-Wook Ha, ad Tae-Su Kim School of Electrical Egieerig ad Computer Sciece, Yeugam Uiversity, 4- Dae-dog, Gyogsa, Gyogbuk, 7-749
More information