Polar Isodistance Curves on Parametric Surfaces
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Lines of Curvature for Polyp Detection in Virtual Colonoscopy
IEEE Transactions on Visualization and Computer Graphics
Computing lines of curvature for implicit surfaces
Computer Aided Geometric Design
Computer Aided Geometric Design
Smooth surface extension with curvature bound
Computer Aided Geometric Design
Matlab-based problem-solving environment for geometric processing of surfaces
ICMS'06 Proceedings of the Second international conference on Mathematical Software
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Parametric polynomial surfaces defined to satisfy given interpolatory or boundary constraints often suffer extraneous undesired features because of poor control over their many degrees of freedom. Current techniques for detecting and remedying such unexpected surface characteristics are primitive and inadequate. This article describes several surface analysis tools useful in detecting such anomalous surface features. These include standard techniques such as contouring and high-resolution shaded image displays based on direct ray tracing, and some novel methods such as maps of the principal curvatures, the integration of lines of curvature to show the variation ofthe principal directions, and the determination of geodesic paths on the surface.