As-Conformal-As-Possible Surface Registration
نویسندگان
چکیده
منابع مشابه
As-Conformal-As Possible Surface Registration
We present a non-rigid surface registration technique that can align surfaces whose sizes and shapes are different to each other, while avoiding mesh distortions during deformation. The registration is constrained locally asconformal-as possible such that angles of triangle meshes are preserved yet local scales are allowed to change. Based on our conformal registration technique, we devise an a...
متن کاملAs-Conformal-As-Possible Surface Registration
We present a non-rigid surface registration technique that can align surfaces with sizes and shapes that are different from each other, while avoiding mesh distortions during deformation. The registration is constrained locally as-conformal-as-possible such that the angles of triangle meshes are preserved, yet local scales are allowed to change. Based on our conformal registration technique, we...
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According to the Uniformization Theorem, any surface can be conformally mapped into a domain of a constant Gaussian curvature. The conformal factor indicates the local scaling introduced by such a mapping. This process could be used to compute geometric quantities in a simplified flat domain with zero Gaussian curvature. For example, the computation of geodesic distances on a curved surface can...
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In this paper, we tackle the problem of generalizing conformal maps to volumetric meshes. Current methods seek for harmonicity but unfortunately, no computational methods optimize conformality in the volumetric context. As it is proven that conformal maps do not exist for general volume transformations, we seek to optimize shape preservation with a generalization of the CauchyRiemann equations....
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Modeling tasks, such as surface deformation and editing, can be analyzed by observing the local behavior of the surface. We argue that defining a modeling operation by asking for rigidity of the local transformations is useful in various settings. Such formulation leads to a non-linear, yet conceptually simple energy formulation, which is to be minimized by the deformed surface under particular...
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ژورنال
عنوان ژورنال: Computer Graphics Forum
سال: 2014
ISSN: 0167-7055
DOI: 10.1111/cgf.12451