Belyaev, AlexanderOhtake, Yutaka2015-11-112015-11-1120001017-4656https://doi.org/10.2312/egs.20001016Surface creases, ridges and ravines, provide us with important information about the shapes of 3D objects and can be intuitively defined as curves on a surface along which the surface bends sharply. Exploring similarity between edges of 2D grey-scale images and curvature extrema of 3D shapes and generalizing a basic edge detection approach to triangular meshes, we develop a method for detection of ridges and ravines on a smooth surface approximated by a triangular mesh. We also sketch three potential applications of our approach: mesh fairness evaluation, improving mesh decimation techniques, and simulating artistic pen-and-ink drawings of 3D objects.An Image Processing Approach to Detection of Ridges and Ravines on Polygonal Surfaces