A Reverse Scheme For Quadrilateral Meshes
نویسندگان
چکیده
Reverse subdivision constructs a coarse mesh of a model from a finer mesh of this same model. In [1] Lanquetin and Neveu propose a reverse mask for the Catmull-Clark scheme which consists in locally reversing Catmull-Clark original formula for even control points, but this mask can not be applied in reversing other variants such as Quad-averaging scheme of Warren and Weimer [2]. In this paper, we derive a reverse mask for Catmull-Clark. This mask is parameterized and can also be used for reversing other quad schemes as Quad-averaging scheme.
منابع مشابه
Motorcycle graph enumeration from quadrilateral meshes for reverse engineering
Recently proposed quad-meshing techniques allow the generation of high-quality semi-regular quadrilateral meshes. This paper outlines the generation of quadrilateral segments using such meshes. Quadrilateral segments are advantageous in reverse engineering because they do not require surface trimming or surface parameterization. The motorcycle graph algorithm of Eppstein et al. produces the mot...
متن کاملGeneration of quadrilateral mesh over analytical curved surfaces
An automatic adaptive quadrilateral mesh conversion scheme for the generation of adaptive refinement meshes over analytical curved surfaces is proposed. The starting point of the quadrilateral mesh generator is a background triangular mesh of the curved surface. By a carefully controlled process to merge two triangles at a time the triangular mesh can be completely converted to quadrilaterals. ...
متن کاملA Second-order Finite Volume Element Method on Quadrilateral Meshes for Elliptic Equations
In this paper, by use of affine biquadratic elements, we construct and analyze a finite volume element scheme for elliptic equations on quadrilateral meshes. The scheme is shown to be of second-order in H-norm, provided that each quadrilateral in partition is almost a parallelogram. Numerical experiments are presented to confirm the usefulness and efficiency of the method. Mathematics Subject C...
متن کاملA Bi-Hyperbolic Finite Volume Method on Quadrilateral Meshes
A non–oscillatory, high resolution reconstruction method on quadrilateral meshes in 2D is presented. It is a two–dimensional extension of Marquina’s hyperbolic method. The generalization to quadrilateral meshes allows the method to simulate realistic flow problems in complex domains. An essential point in the construction of the method is a second order accurate approximation of gradients on an...
متن کاملEncoding Quadrilateral Meshes in 2.40 bits per Vertex
In this note, we show that the encoding scheme discussed in [1] for quadrilateral meshes can be improved to 2.40 bits per vertex, using arithmetic coding. This is a considerable improvement over the current bound of 2.67 bits per vertex.
متن کامل