Spin transformations of discrete surfaces
ACM SIGGRAPH 2011 papers
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Mesh editing methods based on differential surface representations are known for their efficiency and ease of implementation. For reconstruction from such representations, local frames have to be determined which is a nonlinear problem. In linear approximations frames can either degenerate or become inconsistent with the geometry. Both results in contra-intuitive deformations. Existing non-linear approaches, however, are comparatively slow and considerably more complex. In this paper we present a differential representation that implicitly enforces orthogonal and geometry consistent frames while allowing a simple and efficient implementation. In particular, it enforces conformal surface deformations preserving local texture features.