منابع مشابه
Analysis of quasi-uniform subdivision
We study the smoothness of quasi-uniform bivariate subdivision. A quasi-uniform bivariate scheme consists of different uniform rules on each side of the y-axis, far enough from the axis, some different rules near the y-axis, and is uniform in the y-direction. For schemes that generate polynomials up to degree m, we derive a sufficient condition for C continuity of the limit function, which is s...
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We study the necessary and sufficient conditions for the generation of polynomials by stationary subdivision schemes, and we show how to derive appropriate quasiinterpolation rules that have the optimal approximation order. We show that these conditions hold in the context of non-uniform subdivision as well, and we demonstrate how they can be used for the construction of stationary non-uniform ...
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The aim of this paper is to present a fuzzy counterpart method of constructing the Hausdorff quasi-uniformity of a crisp quasi-uniformity. This process, based on previous works due to Morsi cite{Morsi94} and Georgescu cite{Georgescu08}, allows to extend probabilistic and Hutton $[0,1]$-quasi-uniformities on a set $X$ to its power set. In this way, we obtain an endofunctor for each one of the c...
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This paper presents a new scheme for subdivision surfaces based on four-directional meshes. It combines geometry-sensitive refinement with convolution smoothing. The scheme has a simple, efficient implementation and generates smooth well-shaped meshes.
متن کاملQuasi 4-8 Subdivision Surfaces
This paper presents a new scheme for subdivision surfaces that is based on four-directional meshes. It combines geometry-sensitive refinement with convolution smoothing. The scheme has a simple, efficient implementation and generates well-shaped meshes which converge to smooth surfaces. keywords: subdivision schemes, four-directional meshes, quincunx lattice, refinenement, smoothing.
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2003
ISSN: 1063-5203
DOI: 10.1016/s1063-5203(03)00031-9