TY - JOUR
T1 - Fast, robust, and faithful methods for detecting crest lines on meshes
AU - Yoshizawa, Shin
AU - Belyaev, Alexander
AU - Yokota, Hideo
AU - Seidel, Hans Peter
PY - 2008/11
Y1 - 2008/11
N2 - 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. © 2008 Elsevier B.V. All rights reserved.
AB - 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. © 2008 Elsevier B.V. All rights reserved.
KW - Crest lines
KW - Focal surfaces
KW - Möbius-invariant energies
KW - Ridges
KW - Surface Laplacian
UR - http://www.scopus.com/inward/record.url?scp=52949096087&partnerID=8YFLogxK
U2 - 10.1016/j.cagd.2008.06.008
DO - 10.1016/j.cagd.2008.06.008
M3 - Article
SN - 0167-8396
VL - 25
SP - 545
EP - 560
JO - Computer Aided Geometric Design
JF - Computer Aided Geometric Design
IS - 8
ER -