The conformal alpha shape filtration

Conformal alpha shapes are a new filtration of the Delaunay triangulation of a finite set of points in &Rdbl;<sup>d</sup>. In contrast to (ordinary) alpha shapes the new filtration is parameterized by a local scale parameter instead of the global scale parameter in alpha shapes. The local scale parameter conforms to the local geometry and is motivated from applications and previous algorithms in surface reconstruction. We show how conformal alpha shapes can be used for surface reconstruction of non-uniformly sampled surfaces, which is not possible with alpha shapes.


Published in:
Visual Computer, 22, 8, 531 - 540
Year:
2006
ISSN:
01782789
Keywords:
Laboratories:




 Record created 2010-06-14, last modified 2018-03-17

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