A Parameterization Approach for Quadrilateral Mesh
نویسندگان
چکیده
Parameterization of a 3D mesh is a fundamental problem in various applications of meshes. The approaches are widely used for parameterization because of its good properties, but they are almost based on triangle mesh. In this paper, we present a parameterization approach for the quadrilateral open mesh with complex topology. Since mesh simplification and weighted discrete mapping are adapted, the parameterization approach reduces the computation of the mapping process and can better reflect the shape of the corresponding 3D mesh.
منابع مشابه
Parameterization of Quadrilateral Meshes
Low-distortion parameterization of 3D meshes is a fundamental problem in computer graphics. Several widely used approaches have been presented for triangular meshes. But no direct parameterization techniques are available for quadrilateral meshes yet. In this paper, we present a parameterization technique for non-closed quadrilateral meshes based on mesh simplification. The parameterization is ...
متن کاملMotorcycle 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 کاملAn Analytical Framework for Quadrilateral Surface Mesh Improvement with an Underlying Triangulated Surface Definition
Surface mesh quality plays a very important role in the solution accuracy and in the quality of the ensuing volumetric mesh. Amongst the techniques available, optimization based methods are commonly used for mesh quality improvement. Optimization methods for volumetric and planar surface mesh quality improvement are very well researched. However, this is not true for non-planar meshes. In this ...
متن کاملParameterizing Singularities of Positive Integral Index
Classical surface parameterization algorithms often place singularities in order to enhance the quality of the resulting parameter map. Unfortunately, singularities of positive integral index (as the north pole of a sphere) were not handled since they cannot be described with piecewise linear parameter functions on a triangle mesh. Preprocessing is needed to adapt the mesh connectivity. We pres...
متن کاملAutomated Conversion of 2D Triangular Mesh into Quadrilateral Mesh with Directionality Control
This paper proposes an automated quadrilateral meshing technique based on the conversion of triangular meshes. Given a triangular mesh and a vector eld representing the desired directionality of quadrilateral elements, our new approach generates a well-shaped and well-aligned quadrilateral mesh. In the approach, the values of three scalar functions are rst calculated for each pair of adjacent t...
متن کامل