Conformal spherical representation of 3D genus-zero meshes
نویسندگان
چکیده
منابع مشابه
Conformal spherical representation of 3D genus-zero meshes
This paper describes an approach of representing 3D shape by using a set of invariant Spherical Harmonic (SH) coefficients after conformal mapping. Specifically, a genus-zero 3D mesh object is first conformally mapped onto the unit sphere by using a modified discrete conformal mapping, where the modification is based on Möbius Factorization and is aimed at obtaining a canonical conformal mappin...
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Parameterizing a genus-0 mesh onto a unit sphere means assigning a 3D position on the unit sphere to each vertex of the mesh, such that the spherical mapping induced by the mesh connectivity is not too distorted and does not have overlapping areas. The non-overlapping requirement is technically the most difficult component also the most critical component of many spherical parametrization metho...
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Surface parameterization establishes bijective maps from a surface onto a topologically equivalent standard domain. It is well known that the spherical parameterization is limited to genus-zero surfaces. In this work, we design a new parameter domain, two-layered sphere, and present a framework for mapping high genus surfaces onto sphere. This setup allows us to transfer the existing applicatio...
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This paper addresses the problem of spherical parametrization, i.e., mapping a given polygonal surface of genus-zero onto a unit sphere. We construct an improved algorithm for parametrization of genus-zero meshes and aim to obtain high-quality surfaces fitting with PHT-splines. This parametrization consists of minimizing discrete harmonic energy subject to spherical constraints and solving the ...
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We describe the construction of the genus-zero parts of conformal field theories in the sense of G. Segal from representations of vertex operator algebras satisfying certain conditions. The construction is divided into four steps and each step gives a mathematical structure of independent interest. These mathematical structures are intertwining operator algebras, genus-zero modular functors, ge...
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ژورنال
عنوان ژورنال: Pattern Recognition
سال: 2007
ISSN: 0031-3203
DOI: 10.1016/j.patcog.2007.01.021