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Adaptive Slicing Method for Hermite Non-Planar Tessellated Surfaces Models

Author

Listed:
  • Yang Chen

    (School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China)

  • Ruichao Lian

    (Instrumentation Technology and Economy Institute, Beijing 100032, China)

  • Shikai Jing

    (School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China)

  • Jiangxin Fan

    (School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China)

Abstract

This paper presents an adaptive slicing method for Hermite non-planar tessellated surfaces models to improve the geometric accuracy of Rapid Prototyping (RP). Based on the bending characteristics of Hermite curved triangles, a slicing method for a complete Hermite surface model, including the grouping, the construction of the topological relationships, and the calculation of the intersection contours, was employed. The adaptive layering method considering the normal vector at the vertexes of the Hermite curved triangles was employed to grain the variable thickness of all layers of the Hermite surface model. The classical Stanford bunny model illustrates the significant improvement in the accuracy of the proposed method compared to the traditional method.

Suggested Citation

  • Yang Chen & Ruichao Lian & Shikai Jing & Jiangxin Fan, 2024. "Adaptive Slicing Method for Hermite Non-Planar Tessellated Surfaces Models," Mathematics, MDPI, vol. 12(11), pages 1-20, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:11:p:1753-:d:1408953
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