Monte Carlo Method for Solving Inverse Problems of Radiation Transfer
|
|
- Gervase Cross
- 5 years ago
- Views:
Transcription
1 INVERSE AND ILL-POSED PROBLEMS SERIES Monte Carlo Method for Solving Inverse Problems of Radiation Transfer V.S.Antyufeev. ///VSP/// UTRECHT BOSTON KÖLN TOKYO 2000
2 Contents Chapter 1. Monte Carlo modifications for solving problems of radiation transfer Elements of using the Monte Carlo method in radiation transfer computation The "conjugate" computation scheine Use of the importance function Method of mathematical expectation for plane slab model Improvement of the method of mathematical expectation Modification of the distribution of particle path length Modification of the trajectory angular distribution Modification of radiation transfer modelling in spherical atmosphere Statement of the problem Computational algorithm 27 Chapter 2. Generalized transport equation with highly peaked phase function Generalized transport equation Approximation for highly peaked phase function Transformation of Standard transport equation Optimizing procedures for modelling and calculation Modification of the local estimate Modification of trajectory modelling Modifications of the calculation of the radiation flux... 44
3 vi V. S. Antyufeev. Monte Carlo method for solving inverse problems 2.5. Radiation transfer in broken clouds Free path density in the layer of broken clouds Results of numerical experiments Conclusion 62 Chapter 3. Calculation of the correlation characteristics of radiation field in the stochastic medium by the Monte Carlo method Problem Statement Computation of derivatives of a field of brightness by the Monte Carlo method Dispersions of the derivatives DjI estimator 67 Chapter 4. Identification of the phase function Statement of the problem Method of successive approximations "Additive" method "Multiplicative" method Estimating the intensity of scattered radiation On the use of the plane atmosphere model "Local" estimate of intensity Numerical results Study of convergence 83 Chapter 5. Regularization in solving inverse problems of atmosphere optics Recovery of altitudinal variations of the scattering coefficient Analytical regularization Regularization in estimating the phase function Statistical regularization Application of statistically orthogonal expansions 97 Chapter 6. Direct and inverse problems of radiation transfer in a plant canopy Plant canopy model Transport equation for a plant canopy Markov chain modelling 108
4 Contents vii 6.4. Taking into account the hot spot effect Statement of the inverse problem and an algorithm of its Solution Evaluation of derivatives by the Monte Carlo method On estimating the leaf-normal distribution for a plant canopy Iterative method On calculating the integrals A, B and C Numerical results Synopsis 125 Chapter 7. X-ray tomography in scattering media Mathematical background The general scheme of the method Design and arrangement of the detectors Step 1: Reconstruction of the extinction coemcient distribution Step 2: Reconstruction of the scattering coefficients Step 3: Reconstruction of the absorption coemcient distribution Numerical results Computing the jumps of the first and the second kind Scattering effect on body image reconstruction Conclusions 142 Appendix A. Integral equation of the second kind with stochastic kernel 145 A.l. Introduction 145 A.2. Decomposition of the Solution 146 A.3. Numerical method for solving the equation 148 A.4. Numerical examples 151 Appendix B. Computation of radiation field in optically thick medium by the Monte Carlo method 155 B.l. Introduction 155 B.2. Transformation of the transport equation 156 B.3. Illustrative study of the method 163
5 viü V. S. Antyufeev. Monte Carlo method for solving inverse problems B.4. Estimation of accuracy 165 B.5. Limitation on the use of the method 167 B.6. Numerical experiment 168 Appendix C. A new method for identification of the phase function 169 C.l. Remarks concerning notation 169 C.2. Problem statement 171 C.3. Iterative method 171 C.4. Calculation of the matrix coefecients 174 C.5. Convergence of the iterations 176 C.6. Results of numerical experiment 180 Bibliography 183
The Spherical Harmonics Discrete Ordinate Method for Atmospheric Radiative Transfer
The Spherical Harmonics Discrete Ordinate Method for Atmospheric Radiative Transfer K. Franklin Evans Program in Atmospheric and Oceanic Sciences University of Colorado, Boulder Computational Methods in
More informationIll-Posed Problems with A Priori Information
INVERSE AND ILL-POSED PROBLEMS SERIES Ill-Posed Problems with A Priori Information V.V.Vasin andalageev HIV SPIII Utrecht, The Netherlands, 1995 CONTENTS Introduction 1 CHAPTER 1. UNSTABLE PROBLEMS 1 Base
More informationCIVA Computed Tomography Modeling
CIVA Computed Tomography Modeling R. FERNANDEZ, EXTENDE, France S. LEGOUPIL, M. COSTIN, D. TISSEUR, A. LEVEQUE, CEA-LIST, France page 1 Summary Context From CIVA RT to CIVA CT Reconstruction Methods Applications
More informationThe Importance of Refractive Index When using Laser Diffraction
The Importance of Refractive Index When using Laser Diffraction Mark Bumiller mark.bumiller@horiba.com Fraunhofer Approximation Mie Theory RI 1.60 0.0i, in water, RI 1.33 Mie vs. Fraunhofer 1.E+05 1.E+04
More informationImage Reconstruction in Optical Tomography : Utilizing Large Data Sets
Image Reconstruction in Optical Tomography : Utilizing Large Data Sets Vadim A. Markel, Ph.D. Department of Radiology John C. Schotland, M.D., Ph.D. Department of Bioengineering http://whale.seas.upenn.edu
More informationSUPPLEMENTARY INFORMATION
SUPPLEMENTARY INFORMATION doi:10.1038/nature10934 Supplementary Methods Mathematical implementation of the EST method. The EST method begins with padding each projection with zeros (that is, embedding
More informationContents. I Basics 1. Copyright by SIAM. Unauthorized reproduction of this article is prohibited.
page v Preface xiii I Basics 1 1 Optimization Models 3 1.1 Introduction... 3 1.2 Optimization: An Informal Introduction... 4 1.3 Linear Equations... 7 1.4 Linear Optimization... 10 Exercises... 12 1.5
More informationModeling Focused Beam Propagation in scattering media. Janaka Ranasinghesagara
Modeling Focused Beam Propagation in scattering media Janaka Ranasinghesagara Teaching Objectives Understand the need of focused beam computational models. Understand the concepts, equations and principles
More informationArtifact Mitigation in High Energy CT via Monte Carlo Simulation
PIERS ONLINE, VOL. 7, NO. 8, 11 791 Artifact Mitigation in High Energy CT via Monte Carlo Simulation Xuemin Jin and Robert Y. Levine Spectral Sciences, Inc., USA Abstract The high energy (< 15 MeV) incident
More informationUNDERSTANDING CALCULATION LEVEL AND ITERATIVE DECONVOLUTION
UNDERSTANDING CALCULATION LEVEL AND ITERATIVE DECONVOLUTION Laser diffraction particle size analyzers use advanced mathematical algorithms to convert a measured scattered light intensity distribution into
More informationABSTRACT. data in 3D form from samples in both reflection and transmission modes. The current
ABSTRACT The hyperspectral imaging system has the capability to collect spatial and spectral data in 3D form from samples in both reflection and transmission modes. The current software used with the existing
More informationCombining Analytical and Monte Carlo Modelling for Industrial Radiology
19 th World Conference on Non-Destructive Testing 2016 Combining Analytical and Monte Carlo Modelling for Industrial Radiology Carsten BELLON, Gerd-Rüdiger JAENISCH, Andreas DERESCH BAM Bundesanstalt für
More informationClass 11 Introduction to Surface BRDF and Atmospheric Scattering. Class 12/13 - Measurements of Surface BRDF and Atmospheric Scattering
University of Maryland Baltimore County - UMBC Phys650 - Special Topics in Experimental Atmospheric Physics (Spring 2009) J. V. Martins and M. H. Tabacniks http://userpages.umbc.edu/~martins/phys650/ Class
More informationIMAGE ANALYSIS, CLASSIFICATION, and CHANGE DETECTION in REMOTE SENSING
SECOND EDITION IMAGE ANALYSIS, CLASSIFICATION, and CHANGE DETECTION in REMOTE SENSING ith Algorithms for ENVI/IDL Morton J. Canty с*' Q\ CRC Press Taylor &. Francis Group Boca Raton London New York CRC
More informationAdvanced Image Reconstruction Methods for Photoacoustic Tomography
Advanced Image Reconstruction Methods for Photoacoustic Tomography Mark A. Anastasio, Kun Wang, and Robert Schoonover Department of Biomedical Engineering Washington University in St. Louis 1 Outline Photoacoustic/thermoacoustic
More informationStochastic Simulation: Algorithms and Analysis
Soren Asmussen Peter W. Glynn Stochastic Simulation: Algorithms and Analysis et Springer Contents Preface Notation v xii I What This Book Is About 1 1 An Illustrative Example: The Single-Server Queue 1
More informationSimulation of Diffuse Optical Tomography using COMSOL Multiphysics
Simulation of Diffuse Optical Tomography using COMSOL Multiphysics SAM Kirmani *1 L Velmanickam 1 D Nawarathna 1 SS Sherif 2 and IT Lima Jr 1 1 Department of Electrical and Computer Engineering North Dakota
More informationMODERN FACTOR ANALYSIS
MODERN FACTOR ANALYSIS Harry H. Harman «ö THE pigj UNIVERSITY OF CHICAGO PRESS Contents LIST OF ILLUSTRATIONS GUIDE TO NOTATION xv xvi Parti Foundations of Factor Analysis 1. INTRODUCTION 3 1.1. Brief
More informationISO INTERNATIONAL STANDARD. Particle size analysis Laser diffraction methods Part 1: General principles
INTERNATIONAL STANDARD ISO 13320-1 First edition 1999-11-01 Particle size analysis Laser diffraction methods Part 1: General principles Analyse granulométrique Méthodes par diffraction laser Partie 1:
More informationTopic 9: Lighting & Reflection models 9/10/2016. Spot the differences. Terminology. Two Components of Illumination. Ambient Light Source
Topic 9: Lighting & Reflection models Lighting & reflection The Phong reflection model diffuse component ambient component specular component Spot the differences Terminology Illumination The transport
More informationAssessment of Diffuse Optical Tomography Image Reconstruction Methods Using a Photon Transport Model
Assessment of Diffuse Optical Tomography Image Reconstruction Methods Using a Photon Transport Model Murad M. Althobaiti 1 *, Hassan S. Salehi 2, and Quing Zhu 1,2 1 Department of Biomedical Engineering,
More informationMonte Carlo simulations
MC simulations Monte Carlo simulations Eirik Malinen Simulations of stochastic processes Interactions are stochastic: the path of a single ioniing particle may not be predicted Interactions are quantified
More informationTopic 9: Lighting & Reflection models. Lighting & reflection The Phong reflection model diffuse component ambient component specular component
Topic 9: Lighting & Reflection models Lighting & reflection The Phong reflection model diffuse component ambient component specular component Spot the differences Terminology Illumination The transport
More informationImportance Sampling of Area Lights in Participating Media
Importance Sampling of Area Lights in Participating Media Christopher Kulla Marcos Fajardo Outline Previous Work Single Scattering Equation Importance Sampling for Point Lights Importance Sampling for
More informationCurve and Surface Fitting with Splines. PAUL DIERCKX Professor, Computer Science Department, Katholieke Universiteit Leuven, Belgium
Curve and Surface Fitting with Splines PAUL DIERCKX Professor, Computer Science Department, Katholieke Universiteit Leuven, Belgium CLARENDON PRESS OXFORD 1995 - Preface List of Figures List of Tables
More informationCompressed Sensing for Electron Tomography
University of Maryland, College Park Department of Mathematics February 10, 2015 1/33 Outline I Introduction 1 Introduction 2 3 4 2/33 1 Introduction 2 3 4 3/33 Tomography Introduction Tomography - Producing
More informationINTRODUCTION TO LINEAR AND NONLINEAR PROGRAMMING
INTRODUCTION TO LINEAR AND NONLINEAR PROGRAMMING DAVID G. LUENBERGER Stanford University TT ADDISON-WESLEY PUBLISHING COMPANY Reading, Massachusetts Menlo Park, California London Don Mills, Ontario CONTENTS
More informationDynamical Theory of X-Ray Diffraction
Dynamical Theory of X-Ray Diffraction ANDRE AUTHIER Universite P. et M. Curie, Paris OXFORD UNIVERSITY PRESS Contents I Background and basic results 1 1 Historical developments 3 1.1 Prologue 3 1.2 The
More informationDosimetry Simulations with the UF-B Series Phantoms using the PENTRAN-MP Code System
Dosimetry Simulations with the UF-B Series Phantoms using the PENTRAN-MP Code System A. Al-Basheer, M. Ghita, G. Sjoden, W. Bolch, C. Lee, and the ALRADS Group Computational Medical Physics Team Nuclear
More informationToday. Participating media. Participating media. Rendering Algorithms: Participating Media and. Subsurface scattering
Today Rendering Algorithms: Participating Media and Subsurface Scattering Introduction Rendering participating media Rendering subsurface scattering Spring 2009 Matthias Zwicker Participating media Participating
More informationDiffuse light tomography to detect blood vessels using Tikhonov regularization Huseyin Ozgur Kazanci* a, Steven L. Jacques b a
Diffuse light tomography to detect blood vessels using Tikhonov regularization Huseyin Ozgur Kazanci* a, Steven L. Jacques b a Biomedical Engineering, Faculty of Engineering, Akdeniz University, 07058
More informationNoncontact measurements of optical inhomogeneity stratified media parameters by location of laser radiation caustics
Noncontact measurements of optical inhomogeneity stratified media parameters by location of laser radiation caustics Anastasia V. Vedyashkina *, Bronyus S. Rinkevichyus, Irina L. Raskovskaya V.A. Fabrikant
More informationLECTURE 37: Ray model of light and Snell's law
Lectures Page 1 Select LEARNING OBJECTIVES: LECTURE 37: Ray model of light and Snell's law Understand when the ray model of light is applicable. Be able to apply Snell's Law of Refraction to any system.
More informationTable of Contents. Chapter 1. Modeling and Identification of Serial Robots... 1 Wisama KHALIL and Etienne DOMBRE
Chapter 1. Modeling and Identification of Serial Robots.... 1 Wisama KHALIL and Etienne DOMBRE 1.1. Introduction... 1 1.2. Geometric modeling... 2 1.2.1. Geometric description... 2 1.2.2. Direct geometric
More informationMonte Carlo simulations. Lesson FYSKJM4710 Eirik Malinen
Monte Carlo simulations Lesson FYSKJM4710 Eirik Malinen MC simulations 1 Simulations of stochastic processes Interactions are stochastic: the path of a single ionizing particle may not be predicted Interactions
More informationFundamentals of Digital Image Processing
\L\.6 Gw.i Fundamentals of Digital Image Processing A Practical Approach with Examples in Matlab Chris Solomon School of Physical Sciences, University of Kent, Canterbury, UK Toby Breckon School of Engineering,
More informationSimulation of Phosphor Converted LED Packaging with Considerations on Phosphor Settling
Simulation of Phosphor Converted LED Packaging with Considerations on Phosphor Settling Ph. D., Kit Cheong, Breault Research Organization, USA, Tucson Abstract Settling of phosphor particles in PC-LED
More informationARTMO s Global Sensitivity Analysis (GSA) toolbox to quantify driving variables of leaf and canopy radiative transfer models
[1] ARTMO s Sobol', I.M., Global GSA sensitivity toolbox indices for nonlinear mathematical models and their Monte Carlo estimates, Mathematics and Computers in Simulation, 55(1-3), 271-28, 21. 1/2 ARTMO
More informationDavid G. Luenberger Yinyu Ye. Linear and Nonlinear. Programming. Fourth Edition. ö Springer
David G. Luenberger Yinyu Ye Linear and Nonlinear Programming Fourth Edition ö Springer Contents 1 Introduction 1 1.1 Optimization 1 1.2 Types of Problems 2 1.3 Size of Problems 5 1.4 Iterative Algorithms
More informationRetrieval of optical and microphysical properties of ocean constituents using polarimetric remote sensing
Retrieval of optical and microphysical properties of ocean constituents using polarimetric remote sensing Presented by: Amir Ibrahim Optical Remote Sensing Laboratory, The City College of the City University
More informationEpipolar Geometry in Stereo, Motion and Object Recognition
Epipolar Geometry in Stereo, Motion and Object Recognition A Unified Approach by GangXu Department of Computer Science, Ritsumeikan University, Kusatsu, Japan and Zhengyou Zhang INRIA Sophia-Antipolis,
More informationPARALLEL OPTIMIZATION
PARALLEL OPTIMIZATION Theory, Algorithms, and Applications YAIR CENSOR Department of Mathematics and Computer Science University of Haifa STAVROS A. ZENIOS Department of Public and Business Administration
More informationThe Immersed Interface Method
The Immersed Interface Method Numerical Solutions of PDEs Involving Interfaces and Irregular Domains Zhiiin Li Kazufumi Ito North Carolina State University Raleigh, North Carolina Society for Industrial
More informationIterative Methods for Solving Linear Problems
Iterative Methods for Solving Linear Problems When problems become too large (too many data points, too many model parameters), SVD and related approaches become impractical. Iterative Methods for Solving
More informationEngineered Diffusers Intensity vs Irradiance
Engineered Diffusers Intensity vs Irradiance Engineered Diffusers are specified by their divergence angle and intensity profile. The divergence angle usually is given as the width of the intensity distribution
More informationMuon imaging for innovative tomography of large volume and heterogeneous cemented waste packages
Muon imaging for innovative tomography of large volume and heterogeneous cemented waste packages This project has received funding from the Euratom research and training programme 2014-2018 under grant
More informationMonte Carlo Radiation Transfer
Monte Carlo Radiation Transfer 1 Introduction The purpose of this booklet is to introduce the reader to the basic concepts and techniques of radiation transfer using the Monte Carlo method. We shall endeavour
More informationISO INTERNATIONAL STANDARD. Particle size analysis Laser diffraction methods. Analyse granulométrique Méthodes par diffraction laser
INTERNATIONAL STANDARD ISO 13320 First edition 2009-10-01 Corrected version 2009-12-01 Particle size analysis Laser diffraction methods Analyse granulométrique Méthodes par diffraction laser Reference
More informationSuperdiffusion and Lévy Flights. A Particle Transport Monte Carlo Simulation Code
Superdiffusion and Lévy Flights A Particle Transport Monte Carlo Simulation Code Eduardo J. Nunes-Pereira Centro de Física Escola de Ciências Universidade do Minho Page 1 of 49 ANOMALOUS TRANSPORT Definitions
More informationMetropolis Light Transport
Metropolis Light Transport CS295, Spring 2017 Shuang Zhao Computer Science Department University of California, Irvine CS295, Spring 2017 Shuang Zhao 1 Announcements Final presentation June 13 (Tuesday)
More informationDiffuse Optical Tomography, Inverse Problems, and Optimization. Mary Katherine Huffman. Undergraduate Research Fall 2011 Spring 2012
Diffuse Optical Tomography, Inverse Problems, and Optimization Mary Katherine Huffman Undergraduate Research Fall 11 Spring 12 1. Introduction. This paper discusses research conducted in order to investigate
More informationDose Calculations: Where and How to Calculate Dose. Allen Holder Trinity University.
Dose Calculations: Where and How to Calculate Dose Trinity University www.trinity.edu/aholder R. Acosta, W. Brick, A. Hanna, D. Lara, G. McQuilen, D. Nevin, P. Uhlig and B. Slater Dose Calculations - Why
More informationSuitability of the parametric model RPV to assess canopy structure and heterogeneity from multi-angular CHRIS-PROBA data
Suitability of the parametric model RPV to assess canopy structure and heterogeneity from multi-angular CHRIS-PROBA data B. Koetz a*, J.-L. Widlowski b, F. Morsdorf a,, J. Verrelst c, M. Schaepman c and
More information12. Reflection and Refraction
12. Reflection and Refraction Wave fronts Spherical waves are solutions to Maxwell s equations Molecules scatter spherical waves Spherical waves can add up to plane waves Reflection and refraction from
More informationCombining Scatter with Coatings
Combining Scatter with Coatings INTRODUCTION During a raytracing process, rays encounter surfaces that might have a combination of reflection, transmission, absorption and scatter properties that split
More informationF1/10 th Autonomous Racing. Localization. Nischal K N
F1/10 th Autonomous Racing Localization Nischal K N System Overview Mapping Hector Mapping Localization Path Planning Control System Overview Mapping Hector Mapping Localization Adaptive Monte Carlo Localization
More informationLesson 1 Scattering, Diffraction, and Radiation
Lesson 1 Scattering, Diffraction, and Radiation Chen-Bin Huang Department of Electrical Engineering Institute of Photonics Technologies National Tsing Hua University, Taiwan Various slides under courtesy
More informationBayesian estimation of optical properties of the human head via 3D structural MRI p.1
Bayesian estimation of optical properties of the human head via 3D structural MRI June 23, 2003 at ECBO 2003 Alex Barnett Courant Institute, New York University Collaborators (NMR Center, Mass. Gen. Hosp.,
More informationModeling the ORTEC EX-100 Detector using MCNP
Modeling the ORTEC EX-100 Detector using MCNP MCNP is a general-purpose Monte Carlo radiation transport code for modeling the interaction of radiation with materials based on composition and density. MCNP
More informationTeresa S. Bailey (LLNL) Marvin L. Adams (Texas A&M University)
A Piecewise i Linear Discontinuous Finite it Element Spatial Discretization of the S N Transport Equation for Polyhedral Grids in 3D Cartesian Geometry International Conference on Transport Theory September
More informationThe Rendering Equation and Path Tracing
The Rendering Equation and Path Tracing Louis Feng April 22, 2004 April 21, 2004 Realistic Image Synthesis (Spring 2004) 1 Topics The rendering equation Original form Meaning of the terms Integration Path
More informationQuantifying the Dynamic Ocean Surface Using Underwater Radiometric Measurements
DISTRIBUTION STATEMENT A. Approved for public release; distribution is unlimited. Quantifying the Dynamic Ocean Surface Using Underwater Radiometric Measurements Dick K.P. Yue Center for Ocean Engineering
More informationImprovements to the SHDOM Radiative Transfer Modeling Package
Improvements to the SHDOM Radiative Transfer Modeling Package K. F. Evans University of Colorado Boulder, Colorado W. J. Wiscombe National Aeronautics and Space Administration Goddard Space Flight Center
More informationApplication of MCNP Code in Shielding Design for Radioactive Sources
Application of MCNP Code in Shielding Design for Radioactive Sources Ibrahim A. Alrammah Abstract This paper presents three tasks: Task 1 explores: the detected number of as a function of polythene moderator
More informationX-ray tomography. X-ray tomography. Applications in Science. X-Rays. Notes. Notes. Notes. Notes
X-ray tomography Important application of the Fast Fourier transform: X-ray tomography. Also referred to as CAT scan (Computerized Axial Tomography) X-ray tomography This has revolutionized medical diagnosis.
More informationIllumination Under Trees. Nelson Max University of Tokyo, and University of California, Davis
Illumination Under Trees Nelson Max University of Tokyo, and University of California, Davis Topics Hierarchical image based rendering for trees Atmospheric illumination and shadows Shadow penumbras with
More informationIntroduction to Inverse Problems
Introduction to Inverse Problems What is an image? Attributes and Representations Forward vs Inverse Optical Imaging as Inverse Problem Incoherent and Coherent limits Dimensional mismatch: continuous vs
More informationCOMPUTER AND ROBOT VISION
VOLUME COMPUTER AND ROBOT VISION Robert M. Haralick University of Washington Linda G. Shapiro University of Washington A^ ADDISON-WESLEY PUBLISHING COMPANY Reading, Massachusetts Menlo Park, California
More informationDigital Scatter Removal in Mammography to enable Patient Dose Reduction
Digital Scatter Removal in Mammography to enable Patient Dose Reduction Mary Cocker Radiation Physics and Protection Oxford University Hospitals NHS Trust Chris Tromans, Mike Brady University of Oxford
More informationGNU MCSim Frederic Yves Bois Chair of mathematical modeling and system biology for predictive toxicology
GNU MCSim Frederic Yves Bois Chair of mathematical modeling and system biology for predictive toxicology frederic.bois@utc.fr 20/06/2011 1 / 11 Talk overview GNU MCSim is... What it can do Statistical
More informationRendering Participating Media with Bidirectional Path Tracing
Rendering Participating Media with Bidirectional Path Tracing Eric P. Lafortune and Yves D. Willems Paper presented at the 7th Eurographics Workshop on Rendering Please send any correspondence to: Eric
More informationCOMPUTER SIMULATION OF X-RA Y NDE PROCESS COUPLED
COMPUTER SIMULATION OF X-RA Y NDE PROCESS COUPLED WITH CAD INTERFACE Carsten Bellon, Gerd-Rüdiger Tillack, Christina Nockemann, and Lutz Stenze! Laboratory VIII.33 "Reliability ofnon-destructive Evaluation"
More informationSpectrophotometric Methods of Refractive Indices Measurement
Application Note Glass, ceramics, optics Spectrophotometric Methods of Refractive Indices Measurement Measuring the refractive index of single crystal optical materials using two methods Authors N.S. Kozlova
More informationMEDICAL IMAGE ANALYSIS
SECOND EDITION MEDICAL IMAGE ANALYSIS ATAM P. DHAWAN g, A B IEEE Engineering in Medicine and Biology Society, Sponsor IEEE Press Series in Biomedical Engineering Metin Akay, Series Editor +IEEE IEEE PRESS
More informationSHIELDING DEPTH DETERMINATION OF COBALT PHOTON SHOWER THROUGH LEAD, ALUMINUM AND AIR USING MONTE CARLO SIMULATION
Research Article SHIELDING DEPTH DETERMINATION OF COBALT PHOTON SHOWER THROUGH LEAD, ALUMINUM AND AIR USING MONTE CARLO SIMULATION 1 Ngadda, Y. H., 2 Ewa, I. O. B. and 3 Chagok, N. M. D. 1 Physics Department,
More informationProbabilistic Robotics
Probabilistic Robotics Sebastian Thrun Wolfram Burgard Dieter Fox The MIT Press Cambridge, Massachusetts London, England Preface xvii Acknowledgments xix I Basics 1 1 Introduction 3 1.1 Uncertainty in
More informationAdvanced Graphics. Path Tracing and Photon Mapping Part 2. Path Tracing and Photon Mapping
Advanced Graphics Path Tracing and Photon Mapping Part 2 Path Tracing and Photon Mapping Importance Sampling Combine importance sampling techniques Reflectance function (diffuse + specular) Light source
More informationMassively Parallel GPU-friendly Algorithms for PET. Szirmay-Kalos László, Budapest, University of Technology and Economics
Massively Parallel GPU-friendly Algorithms for PET Szirmay-Kalos László, http://cg.iit.bme.hu, Budapest, University of Technology and Economics (GP)GPU: CUDA (OpenCL) Multiprocessor N Multiprocessor 2
More informationParticipating Media. Part I: participating media in general. Oskar Elek MFF UK Prague
Participating Media Part I: participating media in general Oskar Elek MFF UK Prague Outline Motivation Introduction Properties of participating media Rendering equation Storage strategies Non-interactive
More informationShedding Light on the Weather
Shedding Light on the Weather Srinivasa G. Narasimhan and Shree K. Nayar Computer Science Dept., Columbia University, New York, USA E-mail: {srinivas, nayar}@cs.columbia.edu Abstract Virtually all methods
More informationBasics of treatment planning II
Basics of treatment planning II Sastry Vedam PhD DABR Introduction to Medical Physics III: Therapy Spring 2015 Dose calculation algorithms! Correction based! Model based 1 Dose calculation algorithms!
More informationPhilip E. Plantz. Application Note. SL-AN-08 Revision C. Provided By: Microtrac, Inc. Particle Size Measuring Instrumentation
A Conceptual, Non-Mathematical Explanation on the Use of Refractive Index in Laser Particle Size Measurement (Understanding the concept of refractive index and Mie Scattering in Microtrac Instruments and
More informationANALYSIS OF GEOPHYSICAL POTENTIAL FIELDS A Digital Signal Processing Approach
ADVANCES IN EXPLORATION GEOPHYSICS 5 ANALYSIS OF GEOPHYSICAL POTENTIAL FIELDS A Digital Signal Processing Approach PRABHAKAR S. NAIDU Indian Institute of Science, Bangalore 560012, India AND M.P. MATHEW
More information3. Image formation, Fourier analysis and CTF theory. Paula da Fonseca
3. Image formation, Fourier analysis and CTF theory Paula da Fonseca EM course 2017 - Agenda - Overview of: Introduction to Fourier analysis o o o o Sine waves Fourier transform (simple examples of 1D
More informationRadiographic Simulator artist: Version 2
18th World Conference on Nondestructive Testing, 16-20 April 2012, Durban, South Africa Radiographic Simulator artist: Version 2 Carsten Bellon 1, Andreas Deresch 1, Christian Gollwitzer 1, Gerd-Rüdiger
More informationDeliverable D10.2. WP10 JRA04 INDESYS Innovative solutions for nuclear physics detectors
MS116 Characterization of light production, propagation and collection for both organic and inorganic scintillators D10.2 R&D on new and existing scintillation materials: Report on the light production,
More informationPolarization of the Radiation Reflected and Transmitted by the Earth's Atmosphere
Polarization of the Radiation Reflected and Transmitted by the Earth's Atmosphere G. N. Plass and G. W. Kattawar The polarization of the reflected and transmitted radiation is calculated for a realistic
More informationIn this lecture we will study how incident solar radiation interacts with vegetation
In this lecture we will study how incident solar radiation interacts with vegetation 1 Why should we care about light? Here is a short list of key biometeorological processes that depend upon the flux
More informationSUPPLEMENTARY INFORMATION
Supplementary Information Compact spectrometer based on a disordered photonic chip Brandon Redding, Seng Fatt Liew, Raktim Sarma, Hui Cao* Department of Applied Physics, Yale University, New Haven, CT
More informationMichelson Interferometer
Michelson Interferometer The Michelson interferometer uses the interference of two reflected waves The third, beamsplitting, mirror is partially reflecting ( half silvered, except it s a thin Aluminum
More informationDigital Image Processing
Digital Image Processing Third Edition Rafael C. Gonzalez University of Tennessee Richard E. Woods MedData Interactive PEARSON Prentice Hall Pearson Education International Contents Preface xv Acknowledgments
More informationGamma spectroscopic measurements using the PID350 pixelated CdTe radiation detector
Gamma spectroscopic measurements using the PID350 pixelated CdTe radiation detector K. Karafasoulis, K. Zachariadou, S. Seferlis, I. Papadakis, D. Loukas, C. Lambropoulos, C. Potiriadis Abstract Spectroscopic
More informationCOMPUTER VISION > OPTICAL FLOW UTRECHT UNIVERSITY RONALD POPPE
COMPUTER VISION 2017-2018 > OPTICAL FLOW UTRECHT UNIVERSITY RONALD POPPE OUTLINE Optical flow Lucas-Kanade Horn-Schunck Applications of optical flow Optical flow tracking Histograms of oriented flow Assignment
More informationTowards Interactive Global Illumination Effects via Sequential Monte Carlo Adaptation. Carson Brownlee Peter S. Shirley Steven G.
Towards Interactive Global Illumination Effects via Sequential Monte Carlo Adaptation Vincent Pegoraro Carson Brownlee Peter S. Shirley Steven G. Parker Outline Motivation & Applications Monte Carlo Integration
More informationSYSTEMS OF NONLINEAR EQUATIONS
SYSTEMS OF NONLINEAR EQUATIONS Widely used in the mathematical modeling of real world phenomena. We introduce some numerical methods for their solution. For better intuition, we examine systems of two
More informationA fast method for estimation of light flux in fluorescence image guided surgery
A fast method for estimation of light flux in fluorescence image guided surgery 1. Introduction In this document, we present a theoretical method to estimate the light flux in near-infrared fluorescence
More informationCDA6530: Performance Models of Computers and Networks. Chapter 8: Statistical Simulation --- Discrete-Time Simulation
CDA6530: Performance Models of Computers and Networks Chapter 8: Statistical Simulation --- Discrete-Time Simulation Simulation Studies Models with analytical formulas Calculate the numerical solutions
More informationMathematics of Multidimensional Seismic Imaging, Migration, and Inversion
N. Bleistein J.K. Cohen J.W. Stockwell, Jr. Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion With 71 Illustrations Springer Contents Preface List of Figures vii xxiii 1 Multidimensional
More informationTomographic Algorithm for Industrial Plasmas
Tomographic Algorithm for Industrial Plasmas More info about this article: http://www.ndt.net/?id=22342 1 Sudhir K. Chaudhary, 1 Kavita Rathore, 2 Sudeep Bhattacharjee, 1 Prabhat Munshi 1 Nuclear Engineering
More informationEffective Medium Theory, Rough Surfaces, and Moth s Eyes
Effective Medium Theory, Rough Surfaces, and Moth s Eyes R. Steven Turley, David Allred, Anthony Willey, Joseph Muhlestein, and Zephne Larsen Brigham Young University, Provo, Utah Abstract Optics in the
More information