. Such graphs are actually dual graphs of quadrilateral and tetrahedral meshes. A 2-factor of such graphs implicitly defines a linear ordering of the mesh primitives in the form of strips. Further, by introducing a few additional primitives, we reduce the number of tetrahedral strips to represent the entire

degree four or less, in O(n 2) complexity where n is the number of vertices of the graph. Such graphs are actually dual graphs of quadrilateral and tetrahedral meshes that are widely used in graphics and visualization applications. We use the 2-factor of these graphs to find linear ordering

Given a complex of vertices, constraining segments, and planar straight-line constraining facets in E 3 , with no input angle less than 90 ffi , an algorithm presented herein can generate a conforming mesh of Delaunay tetrahedra whose circumradius-to-shortest edge ratios are no greater than

hardware adapted for this mesh representation. The use of triangle strips is a common method to compactly store and efficiently render large polygonal meshes. The advantages of triangle stripification also apply to tetrahedral meshes; therefore, tetrahedral strips are an attractive data structure

Field D * path-finding on weighted triangulated

several recommendations for the improvement of tetrahedral meshes.

Summary. We present a tetrahedral mesh improvement schedule that usually creates meshes whose worst tetrahedra have a level of quality substantially better than those produced by any previous method for tetrahedral mesh generation or “mesh clean-up. ” Our goal is to aggressively optimize the worst

This paper describes some fundamental issues for robust implementations of progressively refined tetrahedralizations generated through sequences of edge collapses. We address the definition of appropriate cost functions and explain on various tests which are necessary to preserve the consistency

This paper describes the preliminary results obtained using an iterative method for generating a set of triangle strips from a mesh of triangles. The algorithm uses a simple topological operation on the dual graph of the mesh, to generate an initial stripification and iteratively rearrange

Abstract—Unstructured tetrahedral meshes are commonly used in scientific computing to represent scalar, vector, and tensor fields in three dimensions. Visualization of these meshes can be difficult to perform interactively due to their size and complexity. By reducing the size of the data, we can