Modeling of curves and surfaces in CAD/CAM
Modeling of curves and surfaces in CAD/CAM
Free form surface analysis using a hybrid of symbolic and numeric computation
Free form surface analysis using a hybrid of symbolic and numeric computation
Two- and three-dimensional patterns of the face
Two- and three-dimensional patterns of the face
Landmark-based registration using features identified through differential geometry
Handbook of medical imaging
Geometric constraint solver using multivariate rational spline functions
Proceedings of the sixth ACM symposium on Solid modeling and applications
Geometric modeling with splines: an introduction
Geometric modeling with splines: an introduction
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Enhancing Transparent Skin Surfaces with Ridge and Valley Lines
VIS '95 Proceedings of the 6th conference on Visualization '95
Ridge-valley lines on meshes via implicit surface fitting
ACM SIGGRAPH 2004 Papers
Tracing ridges on B-Spline surfaces
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
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Principal curvature ridges identify characteristic feature curves on a surface that can be used for surface registration, quality control, visualization and various other shape interrogation applications across disciplines such as medical imaging, computer vision, computer-aided design and engineering and geology. Current techniques for accurate extraction of ridges from B-Spline surfaces require C n , n *** 3 smoothness. In practice, many fitting techniques and modeling systems yield surface representations that may be only C 2, C 1 or C 0 on the knot lines. In this paper, we generalize a robust tracing algorithm to address the problem of extracting ridges from surfaces with lower orders of smoothness to broaden its applicability to a much larger set of surfaces.