Computer Science – Computational Geometry
Scientific paper
2009-10-20
Computer Science
Computational Geometry
12 pages. To appear as a chapter in "Topological Data Analysis and Visualization: Theory, Algorithms and Applications", Pascuc
Scientific paper
Given a computer model of a physical object, it is often quite difficult to visualize and quantify any global effects on the shape representation caused by local uncertainty and local errors in the data. This problem is further amplified when dealing with hierarchical representations containing varying levels of detail and / or shapes undergoing dynamic deformations. In this paper, we compute, quantify and visualize the complementary topological and geometrical features of 3D shape models, namely, the tunnels, pockets and internal voids of the object. We find that this approach sheds a unique light on how a model is affected by local uncertainty, errors or modifications and show how the presence or absence of complementary shape features can be essential to an object's structural form and function.
Bajaj Chandrajit
Gillette Andrew
Goswami Samrat
Kwon Bong June
Rivera Jose
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