Generating Fair Meshes with G1 Boundary Conditions
نویسندگان
چکیده
In this paper we present a new algorithm to create fair discrete surfaces satisfying prescribed G1 boundary constraints. All surfaces are built by discretizing a partial differential equation based on pure geometric intrinsics. The construction scheme is designed to produce meshes that are partitioned into regular domains. Using this knowledge in advance we can develop a fast iterative algorithm resulting in surfaces of high aesthetic quality that have no local mean curvature extrema in the interior.
منابع مشابه
Convection in a Tilted Square Enclosure with Various Boundary Conditions and Having Heat Generating Solid Body at its Center
In this study free convection flow and heat transfer of a fluid inside a tilted square enclosure having heat conducting and generating solid body positioned in the center of the enclosure with various thermal boundary conditions has been investigated numerically. The governing equations are transformed into non-dimensional form and the resulting partial differential equations are solved by Fini...
متن کاملModified Fixed Grid Finite Element Method to Solve 3D Elasticity Problems of Functionally Graded Materials
In the present paper, applicability of the modified fixed grid finite element method in solution of three dimensional elasticity problems of functionally graded materials is investigated. In the non-boundary-fitted meshes, the elements are not conforming to the domain boundaries and the boundary nodes which are used in the traditional finite element method for the application of boundary condit...
متن کاملh-Adaptive Extended Finite Element Method for Structural Optimization
1. Abstract This paper introduces h-Adaptive eXtended Finite Element Method (X-FEM) which is used for level set based structural optimization. Compared to X-FEM with uniform meshes, meshes of h-adaptive X-FEM are adequately adjusted so that meshes of higher resolution at the vicinity of the structural boundaries while meshes of relatively lower resolution in the regions far away from boundaries...
متن کاملA comparison of C0 and G1 continuous curved tetrahedral meshes for high-order finite element simulations
This paper examines the effect of curved boundary continuity on finite element simulations. Quartic C0 continuous and G1 continuous meshes with curved boundaries are created from CAD geometry. These C0 continuous and G1 continuous surface triangles are constructed using Bézier triangles and triangular Gregory patches respectively. Curved tetrahedra are constructed using a shape blending with te...
متن کاملA Novel Geometric Flow-Driven Approach for Quality Improvement of Segmented Tetrahedral Meshes
This paper presents an efficient and novel geometric flow-driven method for mesh optimization of segmented tetrahedral meshes with non-manifold boundary surfaces. The presented method is composed of geometric optimization and topological transformation techniques, so that both location and topology of vertices are optimized. Non-manifold boundary can be divided into manifold surface patches hav...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000