Curvature estimation scheme for triangle meshes using biquadratic Bézier patches

Authors:
Anshuman Razdan;MyungSoo Bae
Affiliations:
PRISM and Department of Computer Science and Engineering, Arizona State University, Tempe, AZ 85287-8609, USA;PRISM and Department of Computer Science and Engineering, Arizona State University, Tempe, AZ 85287-8609, USA
Venue:
Computer-Aided Design
Year:
2005

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Abstract

When dealing with triangle meshes, it is often important to compute curvature information for the purposes of feature recognition, segmentation, or shape analysis. Since a triangle mesh is a piecewise linear surface, curvature has to be estimated. Several different schemes have been proposed, both discrete and continuous, i.e. based on fitting surfaces locally. This paper compares commonly used discrete and continuous curvature estimation schemes. We also present a novel method which uses biquadratic Bezier patches as a local surface fitting technique.