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.

Bibliographic Information

Book Title: Closed Object Boundaries from Scattered Points
Authors: Remco C. Veltkamp
Series Title: Lecture Notes in Computer Science
DOI: https://doi.org/10.1007/3-540-58808-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1994
Softcover ISBN: 978-3-540-58808-5Published: 30 November 1994
eBook ISBN: 978-3-540-49108-8Published: 01 July 2005
Series ISSN: 0302-9743
Series E-ISSN: 1611-3349
Edition Number: 1
Number of Pages: VIII, 152
Topics: Geometry, Software Engineering/Programming and Operating Systems, Topology, Computer Graphics, Image Processing and Computer Vision, Pattern Recognition

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