Matrix-valued symmetric templates for interpolatory surface subdivisions
نویسندگان
چکیده
منابع مشابه
Matrix-valued Symmetric Templates for Interpolatory Surface Subdivisions, I: Regular Vertices
The objective of this paper is to introduce a general procedure for deriving interpolatory surface subdivision schemes with “symmetric subdivision templates” (SSTs) for regular vertices. While the precise definition of “symmetry” will be clarified in the paper, the property of SSTs is instrumental to facilitate application of the standard procedure for finding symmetric weights for taking weigh...
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The objective of this paper is to study and construct matrix-valued templates for interpolatory curve subdivision. Since our investigation of this problem was motivated by the need of such subdivision stencils as boundary templates for interpolatory surface subdivision, we provide both spline and non-spline templates that are necessarily symmetric, due to the lack of direction-orientation in ca...
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The minimum-supported bivariate C2-cubic spline on a 6-directional mesh constructed in our previous work [2] can be used to extend Loop’s approximation subdivision scheme to introduce some parameter for controlling surface geometric shapes. This extension is achieved by considering matrix-valued subdivisions, resulting in subdivision templates of the same 1-ring template size as Loop’s scheme, ...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2005
ISSN: 1063-5203
DOI: 10.1016/j.acha.2005.03.004