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Abstract:
The crest lines, salient subsets of the extrema of the principal curvatures
over their corresponding curvature lines, are powerful shape descriptors which
are widely used for shape matching, interrogation, and visualization purposes.
In this paper, we develop fast, accurate, and reliable methods for detecting
the crest lines on surfaces approximated by dense triangle meshes. The methods
exploit intrinsic geometric properties of the curvature extrema and provide
with an inherent level-of-detail control of the detected crest lines. As an
immediate application, we use of the crest lines for adaptive mesh
simplification purposes.
