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Computer Vision and Image Understanding
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VIS '97 Proceedings of the 8th conference on Visualization '97
Two- and three-dimensional patterns of the face
Two- and three-dimensional patterns of the face
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IEEE Transactions on Visualization and Computer Graphics
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Computer Aided Geometric Design
Fast and robust detection of crest lines on meshes
Proceedings of the 2005 ACM symposium on Solid and physical modeling
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IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Automatic Detection of the Back Valley on Scoliotic Trunk Using Polygonal Surface Curvature
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
Fast, robust, and faithful methods for detecting crest lines on meshes
Computer Aided Geometric Design
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Implicit surface fitting is a promising approach to finding ridges and valleys in discrete surfaces, but existing techniques are time-consuming 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.