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2002•Unpublished venueRequires access

Blending pipe surfaces with piecewise algebraic surfaces

Changsong Chen, Chen Falai, Feng Yuyu

Open publisher page 1 citations

Abstract

Given the positions and orientations of several pipe surfaces (cylinders) in 3D space, a scheme for constructing a piecewise algebraic surface to blend the pipe surfaces is presented. The algorithm starts with a suitable partitioning of the 3D space into tetrahedra or prisms in which the algebraic surface patches are defined. Then a smooth piecewise algebraic surface is constructed which meets the pipe surfaces with a certain order of geometric continuity. The proper choice of free parameters is briefly discussed.

About this research paper

What this paper is about

Given the positions and orientations of several pipe surfaces (cylinders) in 3D space, a scheme for constructing a piecewise algebraic surface to blend the pipe surfaces is presented. The algorithm starts with a suitable partitioning of the 3D space into tetrahedra or prisms in which the algebraic surface patches are defined. Then a smooth piecewise algebraic surface is constructed which meets the pipe surfaces with a certain order of geometric continuity. The proper choice of free parameters is briefly discussed.

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OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Given the positions and orientations of several pipe surfaces (cylinders) in 3D space, a scheme for constructing a piecewise algebraic surface to blend the pipe surfaces is presented. The algorithm starts with a suitable partitioning of the 3D space into tetrahedra or prisms in which the algebraic surface patches are defined. Then a smooth piecewise algebraic surface is constructed which meets the pipe surfaces with a certain order of geometric continuity. The proper choice of free parameters is briefly discussed.

Key concepts: Piecewise, Algebraic surface, Surface (topology), Algebraic number, Tetrahedron, Mathematics, Space (punctuation), Real algebraic geometry

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