منابع مشابه
A Triangle-Triangle Intersection Algorithm
The intersection between 3D objects plays a prominent role in spatial reasoning, geometric modeling and computer vision. Detection of possible intersection between objects can be based on the objects’ triangulated boundaries, leading to computing triangle-triangle intersection. Traditionally there are separate algorithms for cross intersection and coplanar intersection. There is no single algor...
متن کاملFaster Triangle-Triangle Intersection Tests
This paper presents a new method for computing whether or not two triangles in three dimensions intersect. The code is very efficient and requires minimum arithmetic precision. Indeed, all branching decisions are carried out by evaluating the signs of degree three polynomials. In addition, an efficient test is proposed for the two-dimensional case. Key-words: geometric predicates, low degree pr...
متن کاملA Fast Triangle-Triangle Intersection Test
This paper presents a method, along with some optimizations, for computing whether or not two triangles intersect. The code, which is shown to be fast, can be used in, for example, collision detection algorithms.
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We show that for percolation on any transitive graph, the triangle condition implies the open triangle condition.
متن کاملOn the metric triangle inequality
A non-contradictible axiomatic theory is constructed under the local reversibility of the metric triangle inequality. The obtained notion includes the metric spaces as particular cases and the generated metric topology is T$_{1}$-separated and generally, non-Hausdorff.
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ژورنال
عنوان ژورنال: The College Mathematics Journal
سال: 2019
ISSN: 0746-8342,1931-1346
DOI: 10.1080/07468342.2019.1669383