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Recovering a Smooth Boundary Representation from an Edge Quadtree and from a Face Octree

N. Pla‐Garcia

Open publisher page 4 citations

Abstract

Abstract The Face Octrees are a representation scheme which is very suitable to represent both smooth free form surfaces and solids with smooth boundary, as well as, to perform operations among them. However, the Face Octree representation is non continuous, thus an algorithm to convert this model to a boundary representation can be necessary. The conversion algorithm makes the advantages of this scheme really significant. The current paper is involved in the conversion from the Face Octrees model to a smooth boundary representation. However, first the planar case is treated.

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What this paper is about

Abstract The Face Octrees are a representation scheme which is very suitable to represent both smooth free form surfaces and solids with smooth boundary, as well as, to perform operations among them. However, the Face Octree representation is non continuous, thus an algorithm to convert this model to a boundary representation can be necessary. The conversion algorithm makes the advantages of this scheme really significant. The current paper is involved in the conversion from the Face Octrees model to a smooth boundary representation. However, first the planar case is treated.

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Available abstract

Abstract The Face Octrees are a representation scheme which is very suitable to represent both smooth free form surfaces and solids with smooth boundary, as well as, to perform operations among them. However, the Face Octree representation is non continuous, thus an algorithm to convert this model to a boundary representation can be necessary. The conversion algorithm makes the advantages of this scheme really significant. The current paper is involved in the conversion from the Face Octrees model to a smooth boundary representation. However, first the planar case is treated.

Key concepts: Octree, Boundary representation, Representation (politics), Boundary (topology), Quadtree, Computer science, Face (sociological concept), Scheme (mathematics)

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