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Showing papers on "Image gradient published in 1978"


Book
01 Feb 1978
TL;DR: The purpose of this monograph is to introduce and discuss the principles of continuous image Mathematical Characterization, as well as some of the techniques used in two-dimensional image reconstruction, which have been developed in the context of 3D image reconstruction.
Abstract: Preface Acknowledgments PART 1 CONTINUOUS IMAGE CHARACTERIZATION 1 Continuous Image Mathematical Characterization 11 Image Representation 12 Two-Dimensional Systems 13 Two-Dimensional Fourier Transform 14 Image Stochastic Characterization 2 Psychophysical Vision Properties 21 Light Perception 22 Eye Physiology 23 Visual Phenomena 24 Monochrome Vision Model 25 Color Vision Model 3 Photometry and Colorimetry 31 Photometry 32 Color Matching 33 Colorimetry Concepts 34 Tristimulus Value Transformation 35 Color Spaces PART 2 DIGITAL IMAGE CHARACTERIZATION 4 Image Sampling and Reconstruction 41 Image Sampling and Reconstruction Concepts 42 Monochrome Image Sampling Systems 43 Monochrome Image Reconstruction Systems 44 Color Image Sampling Systems 5 Image Quantization 51 Scalar Quantization 52 Processing Quantized Variables 53 Monochrome and Color Image Quantization PART 3 DISCRETE TWO-DIMENSIONAL PROCESSING 6 Discrete Image Mathematical Characterization 61 Vector-Space Image Representation 62 Generalized Two-Dimensional Linear Operator 63 Image Statistical Characterization 64 Image Probability Density Models 65 Linear Operator Statistical Representation 7 Superposition and Convolution 71 Finite-Area Superposition and Convolution 72 Sampled Image Superposition and Convolution 73 Circulant Superposition and Convolution 74 Superposition and Convolution Operator Relationships 8 Unitary Transforms 81 General Unitary Transforms 82 Fourier Transform 83 Cosine, Sine and Hartley Transforms 84 Hadamard, Haar and Daubechies Transforms 85 Karhunen-Loeve Transform 9 Linear Processing Techniques 91 Transform Domain Processing 92 Transform Domain Superposition 93 Fast Fourier Transform Convolution 94 Fourier Transform Filtering 95 Small Generating Kernel Convolution PART 4 IMAGE IMPROVEMENT 10 Image Enhancement 101 Contrast Manipulation 102 Histogram Modification 103 Noise Cleaning 104 Edge Crispening 105 Color Image Enhancement 106 Multispectral Image Enhancement 11 Image Restoration Models 111 General Image Restoration Models 112 Optical Systems Models 113 Photographic Process Models 114 Discrete Image Restoration Models 12 Image Restoration Techniques 121 Sensor and Display Point Nonlinearity Correction 122 Continuous Image Spatial Filtering Restoration 123 Pseudoinverse Spatial Image Restoration 124 SVD Pseudoinverse Spatial Image Restoration 125 Statistical Estimation Spatial Image Restoration 126 Constrained Image Restoration 127 Blind Image Restoration 128 Multi-Plane Image Restoration 13 Geometrical Image Modification 131 Basic Geometrical Methods 132 Spatial Warping 133 Perspective Transformation 134 Camera Imaging Model 135 Geometrical Image Resampling PART 5 IMAGE ANALYSIS 14 Morphological Image Processing 141 Binary Image Connectivity 142 Binary Image Hit or Miss Transformations 143 Binary Image Shrinking, Thinning, Skeletonizing and Thickening 144 Binary Image Generalized Dilation and Erosion 145 Binary Image Close and Open Operations 146 Gray Scale Image Morphological Operations 15 Edge Detection 151 Edge, Line and Spot Models 152 First-Order Derivative Edge Detection 153 Second-Order Derivative Edge Detection 154 Edge-Fitting Edge Detection 155 Luminance Edge Detector Performance 156 Color Edge Detection 157 Line and Spot Detection 16 Image Feature Extraction 161 Image Feature Evaluation 162 Amplitude Features 163 Transform Coefficient Features 164 Texture Definition 165 Visual Texture Discrimination 166 Texture Features 17 Image Segmentation 171 Amplitude Segmentation 172 Clustering Segmentation 173 Region Segmentation 174 Boundary Segmentation 175 Texture Segmentation 176 Segment Labeling 18 Shape Analysis 181 Topological Attributes 182 Distance, Perimeter and Area Measurements 183 Spatial Moments 184 Shape Orientation Descriptors 185 Fourier Descriptors 186 Thinning and Skeletonizing 19 Image Detection and Registration 191 Template Matching 192 Matched Filtering of Continuous Images 193 Matched Filtering of Discrete Images 194 Image Registration PART 6 IMAGE PROCESSING SOFTWARE 20 PIKS Image Processing Software 201 PIKS Functional Overview 202 PIKS Scientific Overview 21 PIKS Image Processing Programming Exercises 211 Program Generation Exercises 212 Image Manipulation Exercises 213 Color Space Exercises 214 Region-of-Interest Exercises 215 Image Measurement Exercises 216 Quantization Exercises 217 Convolution Exercises 218 Unitary Transform Exercises 219 Linear Processing Exercises 2110 Image Enhancement Exercises 2111 Image Restoration Models Exercises 2112 Image Restoration Exercises 2113 Geometrical Image Modification Exercises 2114 Morphological Image Processing Exercises 2115 Edge Detection Exercises 2116 Image Feature Extraction Exercises 2117 Image Segmentation Exercises 2118 Shape Analysis Exercises 2119 Image Detection and Registration Exercises Appendix 1 Vector-Space Algebra Concepts Appendix 2 Color Coordinate Conversion Appendix 3 Image Error Measures Appendix 4 PIKS Compact Disk Bibliography Index

241 citations


Journal ArticleDOI
Chi Hau Chen1
TL;DR: The modified gradient operation considered in this paper takes the product of four conventional gradient operations in different directions to provide great improvement in boundary extraction and noise reduction over the conventional gradient operation for image analysis.

7 citations