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CGI
2000
IEEE

Local and Global Geometric Methods for Analysis Interrogation, Reconstruction, Modification and Design of Shape

10 years 1 months ago
Local and Global Geometric Methods for Analysis Interrogation, Reconstruction, Modification and Design of Shape
This paper gives an overview of some recent methods useful for local and global shape analysis and for the design of solids. These methods include as new tools for global and local shape analysis the Spectra of the Laplace and the Laplace-Beltrami Operator and the Concept of stable Umbilical Points i.e. stable singularities of the principal curvature line wire frame model of the solid's boundary surface. Most material in this paper deals with the Medial Axis Transform as a tool for shape interrogation, reconstruction, modification and design. We show that it appears to be possible to construct an intuitive user interface that allows to mould shape employing the Medial Axis Transform. We also explain that the Medial Axis and Voronoi Diagrams can be defined and computed as well on free form surfaces in a setting where the geodesic distance between two points
Franz-Erich Wolter, K.-I. Friese
Added 24 Aug 2010
Updated 24 Aug 2010
Type Conference
Year 2000
Where CGI
Authors Franz-Erich Wolter, K.-I. Friese
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