RESEARCH ON AUTOMATIC INSPECTION TECHNIQUE OF REAL-TIME RADIOGRAPHY FOR TURBINE-BLADE
|
|
- Gabriella Martin
- 6 years ago
- Views:
Transcription
1 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, Beijig 00083, P. R. Chia Abstract: To ispect turbie blade automatically, with a real-time radiographic system based o X-ray flat pael detector, computerized defect extractio techique is studied o the basis of characteristics of turbie blade s digital radiographic images. At first, i the light of a variety of gray-level i a turbie blade s digital radiographic image, it is divided ito six subareas. A adaptive media filter is used to smooth defects i each subarea. The, the filtrated image is subtracted from the raw image ad a differece image with flat backgroud ad outstadig defects is obtaied. After that, thresholdig is applied to the differece image ad defects i the turbie blade become obvious. Later o, a morphological opeig is used to realize oise reductio. I order to esure the accuracy of defects, a regio growig method is adopted to recostruct the defects. Fially, the feature data of defects are extracted. The compariso betwee computerized feature extractio results ad huma iterpretatio results idicates that the method metioed above is effective ad efficiet, which will lay a good foudatio for automatic ispectio of turbie-blade with X-ray. Keywords: real-time radiography; self-adaptive media filterig; defect extractio; image processig; odestructive testig Itroductio: As a traditioal ispectio techique of odestructive testig for idustrial equipmets ad compoets, the huma iterpretatio of radiographic films ca locate ay cavities, iclusios, porosities, etc, which may have bee formed durig the maufacturig or machiig process exactly or directly []. But this is a hard ad difficult task whe a great umber of defects are to be couted ad calibrated. Radiographic testig with film is also a expesive ad time-cosumig techique (exposure time ad developmet of the film). It is kow that several experts do ot have the same opiio o a give film, ad eve the same expert might have a differet report at the begiig or the ed of a workday. With the developmet of computer techology, image processig ad patter recogitio techology, some attempts have bee made to automate the ispectio process with computer. At the ed of 990s, the successful applicatio of X-ray flat pael detector i real time imagig system made it possible to acquire digital images with high resolutio. These ispectio images ca be processed directly with computer, which establishes a basis for itelliget recogitio of ispectio images of importat parts i aeroautic ad astroautic devices. I this paper, the possibilities are ivestigated of automatic defects extractio of X-ray ispectio images of turbie blade acquired with real time imagig system based o Flat Pael Detector, ad the method is researched of extractig defect feature by aalyzig the characteristics of ispectio images of turbie blade to solve the coflict betwee precisio of defects ad processig speed ad provide exact data to itelliget recogitio of defects. Aalysis of Digital Radiography (DR) Image of Turbie Blade: Figure is a DR image of a turbie blade acquired with a real time imagig system based o flat pael detector. Figure 2 is a magified part of the image of the turbie blade that cotais defects. Characteristics of a turbie blade image is as follows: ) Cotrast is low; 2) Edges of defects are blur (there are two rectagle-shaped defects i Figure 2); 3) There is a gray-level wave alog differet directio i differet area, such as a vertical gray-level wave i rabbet (Area A i Figure 3) ad a horizotal ad slopig gray-level wave i turbie blade body (Area D ad E i Figure 3); 4) Defects ad its backgroud have the same gray-level sometimes; 5) There are high gray-level defects (such as porosities ad flaws) ad low gray-level defects (such as matel iclusios ).
2 A B C a) 2-D image D E Fig. Ispectio image of turbie blade a) 3-D image Fig.2 Image of a part of defective turbie blade F Fig.3 Subarea of turbie blade Solutio: From aforemetioed aalysis, gray-level variety i a turbie blade s DR image is complicated ad the chagig directio of the gray-level of image backgroud is differet i differet areas. Accordigly, elimiatig backgroud was adopted to extract defects. I accordace with the feature of gray-level wave, the turbie blade area of the ispectio image is divided ito six subareas. I each subarea, at first, a media filter based o sca-lie is applied to smooth the high frequecies of the image (defects ad oise) while preservig the low frequecies. The, the filtrated image is subtracted from the raw image to retrieve the high frequecies without the low oes. After that, a global threshold is applied to separate defects ad backgroud. Fially, the feature data of defects is extracted. Realizig Steps: ) Edge Extractio. There are a turbie blade s image ad a white backgroud i the ispectio image. Defects oly exist i the turbie blade s image area. Cotour of a turbie blade is extracted by edge detectio. Restrictig the processig field i the turbie blade image area by the cotour ca decrease processig time. 2) Gray-level Ehacemet. The gray-level of the turbie blade s image area i raw ispectio image is low, its dyamic rage is arrow ad cotrast is poor. Therefore, the grey-levels must be stretched to the whole dyamic rage to improve quality of the image. The followig Formula () is applied to ehace the gray-levels. cx x [0, a] y = 255 ac () ( x 255) x ( a,255] 255 a Where x is gray-level before ehaced, y is gray-level after ehaced, c is a coefficiet ad c>, parameter a is threshold of the ispectio image. 3) Backgroud Elimiatio. A filter is applied to the ehaced image to smooth the defects. The the filtrated image is subtracted from the ehaced image ad a differece image with outstadig defects is obtaied. May kids of filters ca be used, but media filter ca be operated simply ad rapidly, ad it is self-adaptive easily. Whe a oe-dimesio media filter is used, ot oly are the defects with high gray-level smoothed, but also the defects with low gray-level are smoothed. Mea ad morphologic filters ca t achieve the same smoothig effects as media filter does. I order to smooth defects exactly ad rapidly, subarea ad adaptive media filterig are put forward. The turbie blade image area is divided ito six fields as Figure 3. Media filterig based o sca-lie
3 alog differet directio is applied i each subarea: horizotal filterig is applied i subarea A, B ad C, vertical filterig i subarea D ad F, ad filterig alog with air exit hole i subarea E. Whe the sca-lie directio based media filter is applied, the filter legth is adjusted with the size of defects adaptively. This kid of media filterig ca smooth defects completely. If there is ot ay defect i a sca-lie, o filter is applied. The procedure to determie the legth of filter is illumiated i Figure 4. At first, search the extremum poits cx of gray-level curve i a sca lie. The search the earest trough leftwards to lx ad rightwards to rx ; work out gray-level differece t betwee cx ad lx, ad t2 betwee cx ad rx : t = gray(cx) gray( lx), t 2 = gray(cx) gray( rx). Suppose t Defect is a threshold to distiguish backgroud ad defects, t Noise is a threshold to distiguish defects ad system oise. If tdefect mi( t, t 2 ) tnose legth of filter is 2 ( rx lx) +, otherwiselegth of filter is 0. Above metioed researchig cycle is repeated from rx to the ed of the sca lie ad the logest filter is applied to the whole sca lie. I order to process cross-subarea defects correctly, firstly, search the last extremum poit of the previous sca lie from the startig poit of the curret sca lie, ad determie the legth of filter; the process the curret sca lie startig from the extremum poit to the ed of curret sca lie; fially, search the first extremum poit of the ext sca lie from the ed poit of curret sca lie ad determie the legth of filter. Subtract the filtrated image from the ehaced image to obtai the differece image. Figure 5(a) ad (b) show the result, from that it ca be see that the backgroud is flat ad the defects are outstadig. 4) Thresholdig. Accordig to histogram of differet images, select a proper threshold to determie each pixel of the image whether it belogs to defects or backgroud, ad produce a correspodig biary image. Selectio of threshold is crucial to segmet defects. If threshold is too high, more defect pixels are judged as backgroud. Cotrarily, the result is just reverse. This will affect the shape ad size of segmeted defects. The backgroud of the differece image is flat so that it is possible to apply a global threshold to separate defects from backgroud. This gives a biary image. Threshold value based o gray-level histogram ca be applied to determie the threshold value exactly (such as Maxetropy [2] ). 5) Noise Reductio. After thresholdig, defects are separated from backgroud, but oises are separated with defects ievitably. The biary image is filtrated by morphological opeig operatio with 3+3 structurig elemet, which ca protect defects [3]. 6) Defects Growth. The area of the defects ca be affected by the oise reductio step. To improve the detectio, a regio growig method is applied with respect to ehaced image. There are may growth criteria, oe of the simpler methods is compariso of the grey-levels. A brief descriptio of defects growth is give below. 6.) Markig. 4 eighborhoods markig algorithm is applied to the biary image (the positio of 4 eighborhoods is show i Figure 6) to sca the image pixel to pixel ad a sequece umber to every pixel are obtaied. Suppose the gray-level of the backgroud is 0, gray-level of defects is 255, ad f (x, is the gray-level of curret pixel, l(x, is the sequece umber of curret pixel, f (i) are gray-level of eighborhood pixels of curret pixel ad l(i) is the sequece umber of them, where i =~4. The algorithm of 4 eighborhoods markig is described as followig. () Suppose label = 0 ; (2) Sca biary image from up to bottom ad from left to right. If f ( x, = 255, ivestigate the 4 eighborhood pixelsa) If there is ot ay defect pixel i the 4 eighborhoodsmark a ew sequece umber to the curret pixel, that is label = label +, l ( x, = label.b) If there is oly oe defect pixel i the 4 eighborhoods, mark the same sequece umber to the curret pixel as the defect pixel, that is l ( x, = l( i). c) If there are more tha oe defect pixels i the 4 eighborhoodsgive the miimum sequece umber of the 4 eighborhoods to the curret pixel, that is l (x, = mil( i).
4 t t 2 a) 2-dimesioal display of differece image b) 3-dimesioal display of differece image Fig.4 The gray-level curve of sca lie AB Fig. 5 Defect image after backgroud elimiatio ( x, y ) ( x, y ) ( x +, y ) ( x, ( x, Fig.6 Positio of 4 eighborhood pixels Fig. 7 Grow defects 6.2) Neighbor regio uitig. Uite eighborig regios with differet sequece umber ito oe regio ad make all pixels i oe regio have the same sequece umber. 6.3) Origial growig regio. Work out the cetre ad origial eclosig rectagle of defect fields by makig use of the sequece umber of defects. If the cetre is iside the defect, the cetre ad its 8 eighborhoods costruct the origial growig regio, otherwise, the origial growig regio is determied i accordace with the cetre ad the shape of the defect, ad it is located i the cetral sectio of defect at full steam. 6.4) Defect growig. Begi with origial growig regio. After several eclosig rectagle growig cycle [4], the defect is grow agai. The grow defects are show i Figure 7. 7) Feature extractio. The extracted feature parameters as follows: 7.) Cetre of gravity M ( x 0, y0) : x0 = xi y0 = yi, Where is the umber of pixels i a defect, ( x i, yi ) is the coordiate of defect pixel; 7.2) Area A: the umber of pixels i a defect. 7.3) Log diameter L ad short diameter S: the legth ad width of eclosig rectagle with the miimum area of the defect regio. 7.4) Perimeter P: track the boudary of defect usig 8 eighborhood algorithm [5] ad record the boudary iformatio data i freema directioal chai-code (show i Figure 8) accordig to the tred of the boudary. Odd umber chai-code correspodig legth 2, eve umber correspodig legth, the sum of all chai-code legth of a boudary is perimeter, the formula of perimeter as follows: C P = ( ) i (2) 2 2 i= Where is the umber of pixels i a boudary, Ci is the directioal umber of chai-code0~7. The extracted feature data is show i table.
5 Table Feature data of defects correspodig to Fig.7 Number Log Short Ceter Perimeter Area of defect diameter Diameter 26, , ( x, Fig.8 Freema positio codig Coclusios: X-ray digital radiography ad itelliget recogitio of defects are basis of automatic ispectio. A effective method for automatic defect extractio i ispectio image of turbie blade is developed i the paper. The method put forward i the paper is effective ad ca solve the coflict betwee processig speed ad precisio of extracted defects. Some coclusios are gotte as follows: ) The method ca extract defect iformatio quickly ad accurately, ad solve the coflict betwee processig speed ad precisio of extracted defects. 2) The backgroud of defects is elimiated by adaptive media filterig, ad a regio growig method is applied to grow defects, which esures that the extracted defects are accurate i size ad shape. 3) The processig regio is limited iside the turbie blade area by extractig the cotour accurately, which decreases the processig time cosequetly. Refereces: [] Liu Dezhe, Moder X-ray ispectio techology[m]. Beijig: Chia stadard press (i Chiese), 999. [2] Pu T. A ew method for grey level picture thresholdig usig the etropy of the histogram[j].sigal Process,980,2(3) [3] Cui Yi. Image processig ad aalysis mathematical morphology method ad applicatio[m]. Beijig: Sciece press, 2000 (i Chiese). [4] Wu Li, Dai Mig, Li Ya. Weldig field extractio ad preservatio of defect shape i alumiium alloy weldig lie ispectig image. Trasactios of the Chia Weldig Istitutio[J], 200, 22(2):4.(i Chiese) [5] Li Yu, Bao Susu, Yag Lu. Selectio ad outside boudary trackig techiques of object area i biary image. Joural of Chia ormal uiversity (atural sciece editio)[j], 2000(3):2729. (i Chiese) Ackowledgemet: The work is supported by Natioal Natural Sciece Foudatio of Chia. Grated Number is
A 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 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 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 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 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 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 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 informationMobile terminal 3D image reconstruction program development based on Android Lin Qinhua
Iteratioal Coferece o Automatio, Mechaical Cotrol ad Computatioal Egieerig (AMCCE 05) Mobile termial 3D image recostructio program developmet based o Adroid Li Qihua Sichua Iformatio Techology College
More informationApplication of Decision Tree and Support Vector Machine for Inspecting Bubble Defects on LED Sealing Glue Images
66 Applicatio of Decisio Tree ad Support Vector Machie for Ispectig Bubble Defects o LED Sealig Glue Images * Chua-Yu Chag ad Yi-Feg Li Abstract Bubble defect ispectio is a importat step i light-emittig
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 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 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 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 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 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 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 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 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 informationDiego Nehab. n A Transformation For Extracting New Descriptors of Shape. n Locus of points equidistant from contour
Diego Nehab A Trasformatio For Extractig New Descriptors of Shape Locus of poits equidistat from cotour Medial Axis Symmetric Axis Skeleto Shock Graph Shaked 96 1 Shape matchig Aimatio Dimesio reductio
More informationOctahedral Graph Scaling
Octahedral Graph Scalig Peter Russell Jauary 1, 2015 Abstract There is presetly o strog iterpretatio for the otio of -vertex graph scalig. This paper presets a ew defiitio for the term i the cotext of
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 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 informationMultiresolution Image Fusion Based on the Wavelet-based Contourlet Transform
Multiresolutio Image Fusio Based o the Wavelet-based Cotourlet Trasform Lei Tag Istitute of utomated Commad PL Uiversit of Sciece ad Techolog Najig rm Commad College Najig, Chia tttaglei@gmail.com bstract
More informationVALIDATING DIRECTIONAL EDGE-BASED IMAGE FEATURE REPRESENTATIONS IN FACE RECOGNITION BY SPATIAL CORRELATION-BASED CLUSTERING
VALIDATING DIRECTIONAL EDGE-BASED IMAGE FEATURE REPRESENTATIONS IN FACE RECOGNITION BY SPATIAL CORRELATION-BASED CLUSTERING Yasufumi Suzuki ad Tadashi Shibata Departmet of Frotier Iformatics, School of
More informationImproving Information Retrieval System Security via an Optimal Maximal Coding Scheme
Improvig Iformatio Retrieval System Security via a Optimal Maximal Codig Scheme Dogyag Log Departmet of Computer Sciece, City Uiversity of Hog Kog, 8 Tat Chee Aveue Kowloo, Hog Kog SAR, PRC dylog@cs.cityu.edu.hk
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 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 informationPattern 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 informationNew Fuzzy Color Clustering Algorithm Based on hsl Similarity
IFSA-EUSFLAT 009 New Fuzzy Color Clusterig Algorithm Based o hsl Similarity Vasile Ptracu Departmet of Iformatics Techology Tarom Compay Bucharest Romaia Email: patrascu.v@gmail.com Abstract I this paper
More informationAutomated Extraction of Urban Trees from Mobile LiDAR Point Clouds
Automated Extractio of Urba Trees from Mobile LiDAR Poit Clouds Fa W. a, Cheglu W. a*, ad Joatha L. ab a Fujia Key Laboratory of Sesig ad Computig for Smart City ad the School of Iformatio Sciece ad Egieerig,
More informationSAMPLE VERSUS POPULATION. Population - consists of all possible measurements that can be made on a particular item or procedure.
SAMPLE VERSUS POPULATION Populatio - cosists of all possible measuremets that ca be made o a particular item or procedure. Ofte a populatio has a ifiite umber of data elemets Geerally expese to determie
More informationEvaluation of the Software Industry Competitiveness in Jilin Province Based on Factor Analysis
BULGARIAN ACADEMY OF SCIENCES CYBERNETICS AND INFORMATION TECHNOLOGIES Volume 14, No 4 Sofia 2014 Prit ISSN: 1311-9702; Olie ISSN: 1314-4081 DOI: 10.1515/cait-2014-0008 Evaluatio of the Software Idustry
More informationEmpirical Validate C&K Suite for Predict Fault-Proneness of Object-Oriented Classes Developed Using Fuzzy Logic.
Empirical Validate C&K Suite for Predict Fault-Proeess of Object-Orieted Classes Developed Usig Fuzzy Logic. Mohammad Amro 1, Moataz Ahmed 1, Kaaa Faisal 2 1 Iformatio ad Computer Sciece Departmet, Kig
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 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 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 informationParallel Polygon Approximation Algorithm Targeted at Reconfigurable Multi-Ring Hardware
Parallel Polygo Approximatio Algorithm Targeted at Recofigurable Multi-Rig Hardware M. Arif Wai* ad Hamid R. Arabia** *Califoria State Uiversity Bakersfield, Califoria, USA **Uiversity of Georgia, Georgia,
More informationThe identification of key quality characteristics based on FAHP
Iteratioal Joural of Research i Egieerig ad Sciece (IJRES ISSN (Olie: 2320-9364, ISSN (Prit: 2320-9356 Volume 3 Issue 6 ǁ Jue 2015 ǁ PP.01-07 The idetificatio of ey quality characteristics based o FAHP
More informationBASED ON ITERATIVE ERROR-CORRECTION
A COHPARISO OF CRYPTAALYTIC PRICIPLES BASED O ITERATIVE ERROR-CORRECTIO Miodrag J. MihaljeviC ad Jova Dj. GoliC Istitute of Applied Mathematics ad Electroics. Belgrade School of Electrical Egieerig. Uiversity
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 informationx x 2 x Iput layer = quatity of classificatio mode X T = traspositio matrix The core of such coditioal probability estimatig method is calculatig the
COMPARATIVE RESEARCHES ON PROBABILISTIC NEURAL NETWORKS AND MULTI-LAYER PERCEPTRON NETWORKS FOR REMOTE SENSING IMAGE SEGMENTATION Liu Gag a, b, * a School of Electroic Iformatio, Wuha Uiversity, 430079,
More informationAutomatic Road Extraction from Satellite Image
Automatic Road Extractio from Satellite Image B.Sowmya Dept. of Electroics & Cotrol Egg., Sathyabama Istitute of Sciece & Techology, Deemed Uiversity, Cheai bsowya@yahoo.com Abstract This paper explais
More informationThe measurement of overhead conductor s sag with DLT method
Advaces i Egieerig Research (AER), volume 7 2d Aual Iteratioal Coferece o Electroics, Electrical Egieerig ad Iformatio Sciece (EEEIS 206) he measuremet of overhead coductor s sag with DL method Fag Ye,
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 informationGEOMETRIC REVERSE ENGINEERING USING A LASER PROFILE SCANNER MOUNTED ON AN INDUSTRIAL ROBOT
6th Iteratioal DAAAM Baltic Coferece INDUSTRIAL ENGINEERING 24-26 April 2008, Talli, Estoia GEOMETRIC REVERSE ENGINEERING USING A LASER PROFILE SCANNER MOUNTED ON AN INDUSTRIAL ROBOT Rahayem, M.; Kjellader,
More informationAnalysis of Server Resource Consumption of Meteorological Satellite Application System Based on Contour Curve
Advaces i Computer, Sigals ad Systems (2018) 2: 19-25 Clausius Scietific Press, Caada Aalysis of Server Resource Cosumptio of Meteorological Satellite Applicatio System Based o Cotour Curve Xiagag Zhao
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 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 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 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 informationSum-connectivity indices of trees and unicyclic graphs of fixed maximum degree
1 Sum-coectivity idices of trees ad uicyclic graphs of fixed maximum degree Zhibi Du a, Bo Zhou a *, Nead Triajstić b a Departmet of Mathematics, South Chia Normal Uiversity, uagzhou 510631, Chia email:
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 informationPPKE-ITK. Lecture 3. September 26, 2017 Basic Image Processing Algorithms
PPKE-ITK Lecture 3. September 6 07 Basic Image Processig Algorithms A eample of Cay edge detector where straight lies are ot detected perfectly. The objective of the Hough trasformatio is to fid the lies
More informationComputer Science Foundation Exam. August 12, Computer Science. Section 1A. No Calculators! KEY. Solutions and Grading Criteria.
Computer Sciece Foudatio Exam August, 005 Computer Sciece Sectio A No Calculators! Name: SSN: KEY Solutios ad Gradig Criteria Score: 50 I this sectio of the exam, there are four (4) problems. You must
More informationLow Complexity H.265/HEVC Coding Unit Size Decision for a Videoconferencing System
BULGARIAN ACADEMY OF SCIENCES CYBERNETICS AND INFORMATION TECHNOLOGIES Volume 15, No 6 Special Issue o Logistics, Iformatics ad Service Sciece Sofia 2015 Prit ISSN: 1311-9702; Olie ISSN: 1314-4081 DOI:
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 informationAn Improved Shuffled Frog-Leaping Algorithm for Knapsack Problem
A Improved Shuffled Frog-Leapig Algorithm for Kapsack Problem Zhoufag Li, Ya Zhou, ad Peg Cheg School of Iformatio Sciece ad Egieerig Hea Uiversity of Techology ZhegZhou, Chia lzhf1978@126.com Abstract.
More informationIdentification of the Swiss Z24 Highway Bridge by Frequency Domain Decomposition Brincker, Rune; Andersen, P.
Aalborg Uiversitet Idetificatio of the Swiss Z24 Highway Bridge by Frequecy Domai Decompositio Bricker, Rue; Aderse, P. Published i: Proceedigs of IMAC 2 Publicatio date: 22 Documet Versio Publisher's
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 informationSorting in Linear Time. Data Structures and Algorithms Andrei Bulatov
Sortig i Liear Time Data Structures ad Algorithms Adrei Bulatov Algorithms Sortig i Liear Time 7-2 Compariso Sorts The oly test that all the algorithms we have cosidered so far is compariso The oly iformatio
More informationLecture 5. Counting Sort / Radix Sort
Lecture 5. Coutig Sort / Radix Sort T. H. Corme, C. E. Leiserso ad R. L. Rivest Itroductio to Algorithms, 3rd Editio, MIT Press, 2009 Sugkyukwa Uiversity Hyuseug Choo choo@skku.edu Copyright 2000-2018
More informationLU Decomposition Method
SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS LU Decompositio Method Jamie Traha, Autar Kaw, Kevi Marti Uiversity of South Florida Uited States of America kaw@eg.usf.edu http://umericalmethods.eg.usf.edu Itroductio
More informationAn Efficient Algorithm for Graph Bisection of Triangularizations
A Efficiet Algorithm for Graph Bisectio of Triagularizatios Gerold Jäger Departmet of Computer Sciece Washigto Uiversity Campus Box 1045 Oe Brookigs Drive St. Louis, Missouri 63130-4899, USA jaegerg@cse.wustl.edu
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 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 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 informationData Analysis. Concepts and Techniques. Chapter 2. Chapter 2: Getting to Know Your Data. Data Objects and Attribute Types
Data Aalysis Cocepts ad Techiques Chapter 2 1 Chapter 2: Gettig to Kow Your Data Data Objects ad Attribute Types Basic Statistical Descriptios of Data Data Visualizatio Measurig Data Similarity ad Dissimilarity
More informationThe Counterchanged Crossed Cube Interconnection Network and Its Topology Properties
WSEAS TRANSACTIONS o COMMUNICATIONS Wag Xiyag The Couterchaged Crossed Cube Itercoectio Network ad Its Topology Properties WANG XINYANG School of Computer Sciece ad Egieerig South Chia Uiversity of Techology
More informationMasking based Segmentation of Diseased MRI Images
Maskig based Segmetatio of Diseased MRI Images Aruava De Dept. of Electroics ad Commuicatio Egg. Dr. B.C. Roy Egg College Durgapur,Idia aruavade@yahoo.com Raib Locha Das Dept. Of Electroics ad Commuicatio
More informationAn Efficient Algorithm for Graph Bisection of Triangularizations
Applied Mathematical Scieces, Vol. 1, 2007, o. 25, 1203-1215 A Efficiet Algorithm for Graph Bisectio of Triagularizatios Gerold Jäger Departmet of Computer Sciece Washigto Uiversity Campus Box 1045, Oe
More information1.2 Binomial Coefficients and Subsets
1.2. BINOMIAL COEFFICIENTS AND SUBSETS 13 1.2 Biomial Coefficiets ad Subsets 1.2-1 The loop below is part of a program to determie the umber of triagles formed by poits i the plae. for i =1 to for j =
More informationMedical Image Segmentation of Blood Vessels Based on Clifford Algebra and Voronoi Diagram
Medical Image Segmetatio of Blood Vessels Based o Clifford Algebra ad Vorooi Diagram Zhe Jie Huag, Guo Heg Huag*, Liag Lu Cheg College of Automatio, Guagdog Uiversity of Techology, Guagzhou510006, Guagdog,
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 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 informationTask scenarios Outline. Scenarios in Knowledge Extraction. Proposed Framework for Scenario to Design Diagram Transformation
6-0-0 Kowledge Trasformatio from Task Scearios to View-based Desig Diagrams Nima Dezhkam Kamra Sartipi {dezhka, sartipi}@mcmaster.ca Departmet of Computig ad Software McMaster Uiversity CANADA SEKE 08
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 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 informationOptimization for framework design of new product introduction management system Ma Ying, Wu Hongcui
2d Iteratioal Coferece o Electrical, Computer Egieerig ad Electroics (ICECEE 2015) Optimizatio for framework desig of ew product itroductio maagemet system Ma Yig, Wu Hogcui Tiaji Electroic Iformatio Vocatioal
More informationRoad Boundary Detection in Complex Urban Environment based on Low- Resolution Vision
Road Boudary Detectio i Complex Urba Eviromet based o Low- Resolutio Visio Qighua We, Zehog Yag, Yixu Sog, Peifa Jia State Key Laboratory o Itelliget Techology ad Systems, Tsighua Natioal Laboratory for
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 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 informationBOOLEAN MATHEMATICS: GENERAL THEORY
CHAPTER 3 BOOLEAN MATHEMATICS: GENERAL THEORY 3.1 ISOMORPHIC PROPERTIES The ame Boolea Arithmetic was chose because it was discovered that literal Boolea Algebra could have a isomorphic umerical aspect.
More informationImage Fusion Based on Integer Lifting Wavelet Transform
2 Image Fusio Based o Iteger Liftig Wavelet Trasform Gag Hu 1, Yufeg Zheg 2 ad Xi-qiag Qi 1 1 School of Sciece, Xi a Uiversity of Techology, 2 Dept. of Advaced Techologies, Alcor State Uiversity, Alcor
More informationA Modified Multiband U Shaped and Microcontroller Shaped Fractal Antenna
al Joural o Recet ad Iovatio Treds i Computig ad Commuicatio ISSN: 221-8169 A Modified Multibad U Shaped ad Microcotroller Shaped Fractal Atea Shweta Goyal 1, Yogedra Kumar Katiyar 2 1 M.tech Scholar,
More informationTHIN LAYER ORIENTED MAGNETOSTATIC CALCULATION MODULE FOR ELMER FEM, BASED ON THE METHOD OF THE MOMENTS. Roman Szewczyk
THIN LAYER ORIENTED MAGNETOSTATIC CALCULATION MODULE FOR ELMER FEM, BASED ON THE METHOD OF THE MOMENTS Roma Szewczyk Istitute of Metrology ad Biomedical Egieerig, Warsaw Uiversity of Techology E-mail:
More informationAssignment 5; Due Friday, February 10
Assigmet 5; Due Friday, February 10 17.9b The set X is just two circles joied at a poit, ad the set X is a grid i the plae, without the iteriors of the small squares. The picture below shows that the iteriors
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 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 informationA DIGITAL WATERMARKING SCHEME BASED ON ICA DETECTION
A DIGITAL WATERMARKING SCHEME BASED ON ICA DETECTION Ju Liu,, Xigag Zhag, Jiade Su ad Miguel Agel Laguas, 3 School of Iformatio Sciece ad Egieerig, Shadog Uiversity, Jia 5, Chia Telecommuicatios Techological
More informationLip Contour Extraction Based on Support Vector Machine
Lip Cotour Extractio Based o Support Vector Machie Author Pa, Xiaosheg, Kog, Jiagpig, Liew, Ala Wee-Chug Published 008 Coferece Title CISP 008 : Proceedigs, First Iteratioal Cogress o Image ad Sigal Processig
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 informationCounting Regions in the Plane and More 1
Coutig Regios i the Plae ad More 1 by Zvezdelia Stakova Berkeley Math Circle Itermediate I Group September 016 1. Overarchig Problem Problem 1 Regios i a Circle. The vertices of a polygos are arraged o
More informationCHAPTER 3 A STUDY ON BREAST ABNORMALITY DETECTION
46 CHAPTER 3 A STUDY ON BREAST ABNORMALITY DETECTION 3.1 INTRODUCTION A Computer-Aided Detectio (CAD) system is used to aid radiologists i detectig mammographic lesios that may idicate the presece of breast
More informationThe golden search method: Question 1
1. Golde Sectio Search for the Mode of a Fuctio The golde search method: Questio 1 Suppose the last pair of poits at which we have a fuctio evaluatio is x(), y(). The accordig to the method, If f(x())
More informationProfilometry without phase unwrapping using multi-frequency and four-step phase-shift sinusoidal fringe projection
Profilometry without phase uwrappig usig multi-frequecy ad four-step phase-shift siusoidal frige projectio Eu-Hee Kim Jooku Hah Hwi Kim ad Byougho Lee * School of Electrical Egieerig Seoul Natioal Uiversity
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 informationFEATURE RECOGNITION OF ROTATIONAL PARTS USING BIQUADRATIC BEZIER PATCHES
roceedigs of the Iteratioal Coferece o Mechaical Egieerig 7 (ICME7) 9-31 December 7, Dhaka, Bagladesh ICME7- FEATURE RECOGNITION OF ROTATIONAL ARTS USING BIQUADRATIC BEZIER ATCHES J. Kumar 1 ad N. Roy
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 informationA Method of Malicious Application Detection
5th Iteratioal Coferece o Educatio, Maagemet, Iformatio ad Medicie (EMIM 2015) A Method of Malicious Applicatio Detectio Xiao Cheg 1,a, Ya Hui Guo 2,b, Qi Li 3,c 1 Xiao Cheg, Beijig Uiv Posts & Telecommu,
More informationLecture 28: Data Link Layer
Automatic Repeat Request (ARQ) 2. Go ack N ARQ Although the Stop ad Wait ARQ is very simple, you ca easily show that it has very the low efficiecy. The low efficiecy comes from the fact that the trasmittig
More information