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Surface subdivision has been one of the most efficient techniques for surface representation, rendering, and intersection problems.
Intersection problems are fundamental in computational geometry, geometric modeling and design and manufacturing applications, and can be reduced to solving polynomial systems.
The functional analytic approach taken in this work gives a geometric description of the image of a smooth finite index map between Hilbert spaces, and solves avoidance of intersection problems.
An application of this work extends from finite to infinite dimensions the results of Von Neumann and Wigner in finite dimensions on the avoidance of intersection problems in physics.
Here, we modify the algorithm of Nievergelt and Preparata (1982) to solve the 'All Intersections' and 'Maximal Intersection' problems described above.
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The two walked up Murray Street, where Mike Redes was working on his intersection problem and reminisced about Rector Street, which they had just finished digging up.
The modification to VOF method prevents the intersection problem from happening on the water-water interface.
In this paper we determine the intersection problem for 2- v,5,1) directed designs.
In this paper the triangle intersection problem for a pair of disjoint S 2,4,v s is investigated.
In this paper the triangle intersection problem for S 2,4,v) designs is investigated.
In this paper the flower intersection problem for a pair of S 2,4,v)'s is investigated.
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