Closed Object Boundaries from Scattered Points

By: Remco Veltkamp

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Paperback | 30 November 1994

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160 Pages

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22.86 x 15.24 x 1.27

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This monograph is devoted to computational morphology, particularly to the construction of a two-dimensional or a three-dimensional closed object boundary through a set of points in arbitrary position.
By applying techniques from computational geometry and CAGD, new results are developed in four stages of the construction process: (a) the gamma-neighborhood graph for describing the structure of a set of points; (b) an algorithm for constructing a polygonal or polyhedral boundary (based on (a)); (c) the flintstone scheme as a hierarchy for polygonal and polyhedral approximation and localization; (d) and a Bezier-triangle based scheme for the construction of a smooth piecewise cubic boundary.

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You Can Find This Book In

Non-Fiction Computing & I.T.Graphical & Digital Media Applications Computer Science Artificial Intelligence Computer Vision Mathematics Geometry Topology Computer Programming & Software Development Software Engineering Combinatorics & Graph Theory

Introduction	p. 1
Geometric graphs	p. 9
The [gamma]-Neighborhood Graph	p. 23
Boundary construction	p. 37
Boundary from the [gamma]-Graph	p. 45
Approximation and localization	p. 63
The flintstones	p. 73
Smooth curves and surfaces	p. 93
G[superscript 1] boundary construction	p. 109
Conclusions	p. 129
References	p. 133
Index	p. 141
Table of Contents provided by Blackwell. All Rights Reserved.

Closed Object Boundaries from Scattered Points

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