Multidimensional signal, image, and video processing and coding
This book gives a concise introduction to both image and video processing, providing a balanced coverage between theory, applications and standards. It gives an introduction to both 2-D and 3-D signal processing theory, supported by an introduction to random processes and some essential results from...
| Autor principal: | |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; Boston :
Academic Press
c2012.
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| Edición: | 2nd ed |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009628271606719 |
Tabla de Contenidos:
- Front Cover; Multidimensional Signal, Image, and Video Processing and Coding; Copyright; Table of Contents; Preface; Acknowledgments; 1 Two-Dimensional Signals and Systems; 1.1 Two-Dimensional Signals; Separable Signals; Periodic Signals; General Periodicity; 2-D Discrete-Space Systems; 2-D Convolution; Properties of 2-D Convolution or Convolution Algebra; Stability in 2-D Systems; 1.2 2-D Discrete-Space Fourier Transform; Inverse 2-D Fourier Transform; Fourier Transform of 2-D or Spatial Convolution; Some Important Properties of the FT Operator; Some Useful Fourier Transform Pairs
- Symmetry Properties of the Fourier TransformSymmetry Properties of Real-valued Signals; Continuous-Space Fourier Transform; 2-D Fourier Continuous Transform; Projection-Slice Theorem; Conclusions; Problems; References; 2 Sampling in Two Dimensions; 2.1 Sampling Theorem-Rectangular Case; Reconstruction Formula; Ideal Rectangular Sampling; 2.2 Sampling Theorem-General Regular Case; Hexagonal Reconstruction Formula; 2.3 Change of Sample Rate; Downsampling by Integers M1 x M2; Ideal Decimation; Upsampling by Integers L1 x L2; Ideal Interpolation; 2.4 Sample-Rate Change-General Case
- General DownsamplingConclusions; Problems; References; 3 Two-Dimensional Systems and Z-Transforms; 3.1 Linear Spatial or 2-D Systems; 3.2 Z-Transforms; 3.3 Regions of Convergence; More General Case; 3.4 Some Z-Transform Properties; Linear Mapping of Variables; Inverse Z-Transform; 3.5 2-D Filter Stability; First Quadrant Support; Second Quadrant Support; Root Maps; Stability Criteria for NSHP Support Filters; Conclusions; Problems; References; 4 2-D Discrete-Space Transforms; 4.1 Discrete Fourier Series; Properties of the DFS Transform; Periodic Convolution; Shifting or Delay Property
- Comments4.2 Discrete Fourier Transform; DFT Properties; Proof of DFT Circular Convolution Property 2; Proof of DFT Circular Shift Property 5; Relation of DFT to Fourier Transform; Effect of Sampling in Frequency; Interpolating the DFT; 4.3 2-D Discrete Cosine Transform; Review of 1-D DCT; Some 1-D DCT Properties; Symmetric Extension in 2-D DCT; Comments; 4.4 Subband/Wavelet Transform; Ideal Filter Case; 1-D SWT with Finite Order Filters; 2-D SWT with Finite Impulse Response (FIR) Filters; Relation of SWT to DCT; Relation of SWT to Wavelets; 4.5 Fast Transform Algorithms; Fast DFT Algorithm
- ComputationFast DCT Methods; 4.6 Sectioned Convolution Methods; Conclusions; Problems; References; 5 Two-Dimensional Filter Design; 5.1 FIR Filter Design; FIR Window Function Design; Separable (Rectangular) Windows; Circular (Rotated) Windows; Common 1-D Continuous Time Windows; Design by Transformation of 1-D Filter; Projection Onto Convex Sets; Basic POCS Algorithm; 5.2 IIR Filter Design; 2-D Recursive Filter Design; Typical Design Criteria; Space-Domain Design; Padé Approximation; Prony's Method (Shank's); Fully Recursive Filter Design; Observations; 5.3 Subband/Wavelet Filter Design
- Wavelet (Biorthogonal) Filter Design Method
