منابع مشابه
Biquartic C1-surface splines over irregular meshes
C 1-surface splines deene tangent continuous surfaces from control points in the manner of tensor-product (B-)splines, but allow a wider class of control meshes capable of outlining arbitrary free-form surfaces with or without boundary. In particular, irregular meshes with non quadrilateral cells and more or fewer than four cells meeting at a point can be input and are treated in the same conce...
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The present authors have introduced polynomial splines over T-meshes (PHT-splines) and provided the theories and applications for PHT-splines over hierarchical T-meshes. This paper generalizes PHT-splines to arbitrary topology over general T-meshes with any structures. The general PHT-spline surfaces can be constructed through an unified scheme to interpolate the local geometric information at ...
متن کاملPolynomial splines over hierarchical T-meshes
In this paper, we introduce a new type of splines—polynomial splines over hierarchical T-meshes (called PHT-splines) to model geometric objects. PHT-splines are a generalization of B-splines over hierarchical T-meshes. We present the detailed construction process of spline basis functions over T-meshes which have the same important properties as B-splines do, such as nonnegativity, local suppor...
متن کاملSmooth free-form surfaces over irregular meshes generalizing quadratic splines
An algorithm for refining an essentially unrestricted mesh of points into a bivariate C 1 surface is given. The algorithm generalizes the construction of quadratic splines from a mesh of control points. It gives an explicit parametrization of the surface with quadratic and cubic pieces. When the mesh is regular then a quadratic spline surface is generated. Irregular input meshes with non quadri...
متن کاملUniform Convergence of Galerkin's Method for Splines on Highly Nonuniform Meshes
Different sets of conditions for an estimate of the form * '"«¿«i«.» «c max »r vr+i)n¿ ,n i °°x I' to hold are given. Here, y" is the Galerkin approximation to the solution v of a boundary value problem for an ordinary differential equation, the trial functions being polynomials of degree < r on the subintervals I¡ = [x¡, x,-+j] of length h¡. The sequence of subdivisions -n: Xq < Xj < ■ • • < x...
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ژورنال
عنوان ژورنال: The SMAI journal of computational mathematics
سال: 2019
ISSN: 2426-8399
DOI: 10.5802/smai-jcm.57