Closed Object Boundaries from Scattered Points

Download or read book Closed Object Boundaries from Scattered Points written by Remco Veltkamp and published by Springer Science & Business Media. This book was released on 1994-11-30 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.