Analysis and Design of Univariate Subdivision Schemes
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منابع مشابه
Interpolatory blending net subdivision schemes of Dubuc-Deslauriers type
Net subdivision schemes recursively refine nets of univariate continuous functions defined on the lines of planar grids, and generate as limits bivariate continuous functions. In this paper a family of interpolatory net subdivision schemes related to the family of Dubuc-Deslauriers interpolatory subdivision schemes is constructed and analyzed. The construction is based on Gordon blending interp...
متن کاملLinear and Non-Linear Subdivision Schemes in Geometric Modeling
Subdivision schemes are efficient computational methods for the design, representation and approximation of 2D and 3D curves, and of surfaces of arbitrary topology in 3D. Subdivision schemes generate curves/surfaces from discrete data by repeated refinements. While these methods are simple to implement, their analysis is rather complicated. The first part of the talk presents the “classical” ca...
متن کاملCubic subdivision schemes with double knots
We investigate univariate and bivariate binary subdivision schemes based on cubic B-splines with double knots. It turns out that double knots change the behaviour of a uniform cubic scheme from primal to dual. We focus on the analysis of new bivariate cubic schemes with double knots at extraordinary points. These cubic schemes produce C surfaces with the original Doo-Sabin weights.
متن کاملFurther analysis of ternary and 3-point univariate subdivision schemes
The precision set, approximation order and Hölder exponent are derived for each of the univariate subdivision schemes described in [3] and [4].
متن کاملStability of subdivision schemes
The stability of stationary interpolatory subdivision schemes for univariate data is investigated. If the subdivision scheme is linear, its stability follows from the convergence of the scheme, but for nonlinear subdivision schemes one needs stronger conditions and the stability analysis of nonlinear schemes is more involved. Apart from the fact that it is natural to demand that subdivision sch...
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عنوان ژورنال:
دوره 6 شماره
صفحات -
تاریخ انتشار 2010