Structured Grid Generation over NURBS and Facetted Surface Patches by Reparametrization
نویسندگان
چکیده
This paper deals with structured grid generation using Floater’s parametrization algorithm for surface triangulation. It gives an outline of the algorithm in the context of structured grid generation. Then it explains how the algorithm can be used to generate a structured grid over a singular NURBS surface patch. This is an alternate method to the known carpeting method of reparametrization for structured grid generation over a NURBS surface patch. The paper also explains how to generate a structured grid over a four sided trimmed patch of a facetted surface using the parametrization algorithm. All the procedures are explained using examples.
منابع مشابه
9 Surface Grid Generation Systems
Structured surface grid generation entails the generation of a curvilinear coordinate grid on a surface. It may be necessary to generate such a grid in order to perform a two-dimensional numerical simulation of a physical process involving the surface. Alternately, surface grid generation may represent a stage in the generation of a volume grid, which itself would be used in a three-dimensional...
متن کاملFitting Surface of Free Form Objects using Optimized NURBS Patches Network with Evolutionary Strategies (μ +λ )−ES
We propose an algorithm to produce a 3-D CAD model from a set of range data, based on non-uniform rational B-splines (NURBS) surface fitting technique. Our goal is to construct continuous geometric models, assuming that the topology of surface is unknown. In our approach, the triangulated surface is partitioned in quadrilateral patches, using Morse theory. The quadrilateral obtained mesh is reg...
متن کاملAutomatic Texture Atlas Generation from Trimmed NURBS Models
A Texture Atlas is a two dimensional representation of a 3D model usable for paint systems or as a sewing pattern. The field of texture atlas generation from polygonal models has been well exploited in the recent years. The developed algorithms work on piecewise linear surface representations, but not on parametric surfaces like NURBS, that are still the main surface representation in CAD syste...
متن کاملAutomatic Extraction of Quadrilateral Patches from Triangulated Surfaces Using Morse Theory
A method for decompose the triangulated surface into quadrilateral patches using Morse theory and Spectral mesh analysis is proposed. The quadrilat-eral regions extracted are then regularized by means of geodesic curves and fitted using a B-splines creating a new grid on which NURBS surfaces can be fitted.
متن کاملAdaptation of Structured Grid for Supersonic and Transonic Flows
Two distinct redistribution grids - adaptation techniques, spring analogy and elliptic grid generator are applied to two-dimensional steady, inviscid, shocked flows, and the ability of each technique is examined and compared. Euler equations are solved base on Roe's Reimann solver approach to simulate supersonic flow around a sphere, transonic flow about an airfoil and supersonic flow in a symm...
متن کامل