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Digital Geometry in Image Processing

Publisher: 
Chapman & Hall/CRC
Number of Pages: 
274
Price: 
89.95
ISBN: 
9781466505674
Date Received: 
Friday, July 26, 2013
Reviewable: 
No
Include In BLL Rating: 
No
Jayanta Mukhopadhyay, et al.
Series: 
IIT Kharagpur Research Monograph Series
Publication Date: 
2013
Format: 
Hardcover
Category: 
Monograph

Digital Topology: Fundamentals
Tessellation of a Continuous Space
Digital Grid
Grid Topology
Topology Preserving Operations
The Euler Characteristics

Distance Functions in Digital Geometry
Mathematical Definitions and Notation
Neighborhoods, Paths and Distances
Neighborhood Distances
Path-Dependent Neighborhoods and Distances
Hyperspheres of Digital Distances
Error Estimation and Approximation of Euclidean Distance

Digitization of Straight Lines and Planes
2-D Discrete Straight Line Segments
Iterative Refinement: An Algebraic Characterization
3-D Digital Straight Line Segments
Digital Plane Segments

Digital Straightness and Polygonal Approximation
Digital Straightness
Approximate Straightness
Polygonal Approximation
Approximation on Gray-Scale Images
Examples

Parametric Curve Estimation and Reconstruction
Digital Conics in Canonical Form
Circles and Parabolas in Canonical Form
Estimation of Major and Minor Axes of an Ellipse in Canonical Form
Reconstruction of Hyperbola in Canonical Form
A Restricted Class of Digitized Planar Curves

Medial Axis Transform
Distance Transform
Medial Axis Transform (MAT)
Skeletonization using MAT
Geometric Transformation
Computation of Normals at Boundary Points of 2-D Objects
Computation of Cross-Sections of 3-D Objects
Shading of 3D Objects

Modeling of Voxelated Surface
Voxelation and Approximation of 3-D Surface
Voxelation of Surface of Revolution

Bibliography

Index

Publish Book: 
Modify Date: 
Friday, July 26, 2013

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