Adaptive Slicing Method for Hermite Non-Planar Tessellated Surfaces Models

Yang Chen, Ruichao Lian, Shikai Jing () and Jiangxin Fan
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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

Mathematics, 2024, vol. 12, issue 11, 1-20

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.

Keywords: rapid prototyping; surface model; model features; slicing method; adaptive layering (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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