Direct construction of polynomial surfaces from dense range images through region growing
ACM Transactions on Graphics (TOG)
A novel cubic-order algorithm for approximating principal direction vectors
ACM Transactions on Graphics (TOG)
Crest Lines for Surface Segmentation and Flattening
IEEE Transactions on Visualization and Computer Graphics
Ridge-valley lines on meshes via implicit surface fitting
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2005 Papers
Curvature estimation scheme for triangle meshes using biquadratic Bézier patches
Computer-Aided Design
Detection of surface creases in range data
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
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This paper presents a new feature extraction method on the mesh model with some noise. Firstly, we compute Mesh saliency value of every vertex on the mesh model. Then we set it as the weighted factor and employ the weighted bi-quadratic Bézier surface to fit the vertex and its neighborhood by the least square method. So we obtain the smoothed principal curvature and principal direction of every vertex, which can be used for detecting and extracting the feature point. The advantage of our method is that we can achieve the better feature extraction result from the mesh model with some noise.