As-conformal-as-possible discrete volumetric mapping
نویسندگان
چکیده
منابع مشابه
As-conformal-as-possible discrete volumetric mapping
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....
متن کاملConformal Mapping with as Uniform as Possible Conformal Factor
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...
متن کاملAs-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...
متن کاملMapping and Inference in Analogical Problem Solving – As Much as Needed or as Much as Possible?
There exist many computational models of analogy making, which are based on different assumptions about the cognitive processes which are responsible for successful transfer from a base to a target domain. In most models, mapping of the base structure to the target is seen as the core of analogy making. We believe that the way in which this mapping is realized is a crucial aspect by which the d...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Graphics
سال: 2012
ISSN: 0097-8493
DOI: 10.1016/j.cag.2012.03.014