Fast And Robust Triangle Triangle Overlap Test Using Orientation Predicates Pdf


By Searlas G.
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30.04.2021 at 21:33
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fast and robust triangle triangle overlap test using orientation predicates pdf

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Summary on Several Key Techniques in 3D Geological Modeling

The system can't perform the operation now. Try again later. Citations per year. Duplicate citations. The following articles are merged in Scholar. Their combined citations are counted only for the first article. Merged citations.

Several key techniques in 3D geological modeling including planar mesh generation, spatial interpolation, and surface intersection are summarized in this paper. Note that these techniques are generic and widely used in various applications but play a key role in 3D geological modeling. There are two essential procedures in 3D geological modeling: the first is the simulation of geological interfaces using geometric surfaces and the second is the building of geological objects by means of various geometric computations such as the intersection of surfaces. Discrete geometric surfaces that represent geological interfaces can be generated by creating planar meshes first and then spatially interpolating; those surfaces intersect and then form volumes that represent three-dimensional geological objects such as rock bodies. In this paper, the most commonly used algorithms of the key techniques in 3D geological modeling are summarized. Houlding [ 3 ] introduced some basic methods of geological modeling including the spatial data analysis, geological interface modeling, and geological boundary connection. There are two essential procedures in 3D geological modeling: 1 the modeling of geological interfaces and 2 the building of three-dimensional geological objects.

Fast and Robust Triangle-Triangle Overlap Test Using Orientation Predicates

Equation of the circle through 3 points and sphere thought 4 points. San Diego: Academic Press, pp. Traditionally there are specialized algorithms for cross intersection and coplanar intersection. I implemented the creation of offline. When you select a property item on this dialog box, the affected object, or area of the intersection is highlighted in the drawing, and the conceptual graphic on the dialog box updates to indicate the location affected by the edit. There are plenty of space partitioning algorithms and data structures that can be used for this, such as uniform grids, quadtrees in 2D, octrees in 3D, and spatial hashing.

Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. DOI: Tal and I. Tal , I. This paper presents a fast method for testing whether two triangles embedded in three dimensions intersect. Our technique solves the basic sets of linear equations associated with the problem and exploits the strong relations between these sets to speed up their solution.

Unified Spatial Intersection Algorithms Based on Conformal Geometric Algebra

Chaman L. Sabharwal, Jennifer L. Leopold, Douglas McGeehan. Manuscript received May 25, Accepted for publication September 30,

A fast triangle to triangle intersection test for collision detection

Conformal Geometric Algebra has been introduced into geographic information science as a mathematical theory because of its advantages in terms of uniform multidimensional representation and computation. The traditional intersection computation between two geometric objects of different types is not unified. In this study, we propose algorithms based on Conformal Geometric Algebra to determine the spatial relationships between geographic objects in a unified manner. The unified representation and intersection computation can be realized for geometric objects of different dimensions. Different basic judgment rules are provided for different simple geometries. The algorithms are designed and implemented using MapReduce to improve the efficiency of the algorithms.

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Vol. 8, NO Fast and Robust Triangle-Triangle. Overlap Test Using Orientation. Predicates*. Philippe GUigue and Olivier Devillers. Abstract. This paper.


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1 Comments

Eve S.
06.05.2021 at 19:53 - Reply

Efficient collision detection is critical in 3D geometric modeling.

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