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Finding ridges and valleys in a discrete surface using a modified MLS approximation

✍ Scribed by Soo-Kyun Kim; Chang-Hun Kim

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 710 KB
Volume: 37
Category: Article
ISSN: 0010-4485
DOI: 10.1016/j.cad.2005.05.002

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✦ Synopsis

Implicit surface fitting is a promising approach to finding ridges and valleys in discrete surfaces, but existing techniques are timeconsuming and rely on user-supplied tuning parameters. We use a modified MLS (moving-least-squares) approximation technique to estimate the local differential information near a vertex by means of an approximating surface. Ridge and valley vertices are easily detected as zero-crossings, and can then be connected along the direction of principal curvature. Our method, demonstrated on several large meshed models, produces a good fit which leads to improved visualization. It does not oscillate and is quick to compute.

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