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.
Closed Object Boundaries from Scattered Points
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The work described in this thesis deals with the computational processing of various forms of geometric information, and could therefore be considered research in Computational Geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
micro triangles, constriction algorithm, triangle vivjvk, plane continuity condition, macro triangles, tangent plane continuous, edge viva, tangent plane continuity, boundary tetrahedron, polyhedral boundary, geometric graphs, constriction process, hierarchical approximation, parametric continuity, boundary polyhedron, intermediate boundary, geometric continuity, computational morphology, empty balls, ball touching, neighborhood graph, bounding area, boundary triangles, reflection curve, boundary construction Key Phrases - Capitalized Phrases (CAPs): (learn more)
Delaunay Triangulation, Convex Hull, Voronoi Diagram, Nearest Neighbors Graph, Voronoi Skeleton, Euclidean Minimum Spanning Tree, Gabriel Graph, Sphere of Influence Graph New!
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The work described in this thesis deals with the computational processing of various forms of geometric information, and could therefore be considered research in Computational Geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
micro triangles, constriction algorithm, triangle vivjvk, plane continuity condition, macro triangles, tangent plane continuous, edge viva, tangent plane continuity, boundary tetrahedron, polyhedral boundary, geometric graphs, constriction process, hierarchical approximation, parametric continuity, boundary polyhedron, intermediate boundary, geometric continuity, computational morphology, empty balls, ball touching, neighborhood graph, bounding area, boundary triangles, reflection curve, boundary construction Key Phrases - Capitalized Phrases (CAPs): (learn more)
Delaunay Triangulation, Convex Hull, Voronoi Diagram, Nearest Neighbors Graph, Voronoi Skeleton, Euclidean Minimum Spanning Tree, Gabriel Graph, Sphere of Influence Graph New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 11
books:
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4
books
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- Computer Graphics by Acm Press on 4 pages
- Surfaces in Computer Aided Geometric Design by Robert Barnhill in Back Matter
- An Analysis of the Finite Element Method by William Gilbert Strang in Back Matter
- Analysis and Interpretation of Range Images (Springer Series in Perception Engineering) by Ramesh C. Jain in Back Matter
- Computer Vision by Dana H. Ballard in Back Matter
See all 11 books this book cites
- Principles of 3D Image Analysis and Synthesis (The Springer International Series in Engineering and Computer Science) by Bernd Girod in Back Matter
- Handbook of Computer Vision and Applications by Bernd Jahne on page 379
- Discrete and Computational Geometry: The Goodman-Pollack Festschrift (Algorithms and Combinatorics) by Boris Aronov on page 404
- Data Visualization: The State of the Art (The Springer International Series in Engineering and Computer Science) by Frits H. Post on page 388
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