Research on Triangularization of Parametric Surface Based on Surface Curvature

Wei Min Yang

doi:10.4028/www.scientific.net/AMR.1061-1062.1148

Paper Titles

Contrastive Analysis on Parameter Identification of Unmanned Gliding-Hydrofoil Craft’s Maneuverability Based on GA and PSO
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Grillage Structural Optimization Based on Genetic Algorithm and Mechanical Direct Calculation
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Numerical Study of the Influence of Ambient Pressure on the Inerting Effect of an Aircraft Fuel Tank Inerting System
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Quantitative Models for Complex Physical Systems
p.1144

Research on Triangularization of Parametric Surface Based on Surface Curvature
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A Comparative Study on Single Display and Region-Based P300 Speller Paradigms for Brain-Computer Interface
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Calculation of Elliptic Sphere Form Error Using a Differential Geometry Algorithm
p.1158

Study on Mathematical Model of Cylindricality Error
p.1162

Grey Relational Analysis and its C# Program in Analysis of Rigid Polyurethane Foam
p.1167

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1061-1062Research on Triangularization of Parametric...

Research on Triangularization of Parametric Surface Based on Surface Curvature

Abstract:

In five-axis tool path planning, interference between the cutting tool and parametric surface is very critical. One way of doing interference detection is first to discretize the surface. In this article we develop a new approach to discretize parametric surface adaptively by applying curvature sphere. Layer by layer the original surface is discretized into triangle meshes bases on the polyline between the triangulated and un-triangulated areas of the surface. Triangles generated with our method are adaptive, which means the density of the triangles changes with the local curvature value of the surface. We also develop a method to deal with triangle meshes overlapping problem. So triangle meshes generated with our algorithm is without gaps or any overlapping problem. Finally a criterion is suggested when the generation should stop. The algorithm has been tested for some parametric surfaces and the result turns out to be satisfactory.

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Periodical:

Advanced Materials Research (Volumes 1061-1062)

Pages:

1148-1152

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1061-1062.1148

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Online since:

December 2014

Authors:

Wei Min Yang*

Keywords:

Discretization, Interference Checking, Parametric Surface, Triangularization

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References

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