Geometric criteria for gouge-free three-axis iviilling of sculptured surfaces

H. Pottmann; J. Wallner; G. Glaeser; B. Ravani

doi:10.1115/1.2829450

Geometric criteria for gouge-free three-axis iviilling of sculptured surfaces

H. Pottmann, J. Wallner, G. Glaeser, B. Ravani

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

The paper presents a geometric investigation of collision-free 3-axis milling of surfaces. We consider surfaces with a global shape condition: they shall be interpretable as the graphs of bivariate functions or shall be star-shaped with respect to a point. If those surfaces satisfy a local millability criterion involving curvature information, it is proved that this implies globally gouge-free milling. The proofs are based on general offset surfaces. The results can be applied to tool-motion planning and the computation of optimal cutter shapes.

Original language	English (US)
Pages (from-to)	241-248
Number of pages	8
Journal	Journal of Mechanical Design, Transactions Of the ASME
Volume	121
Issue number	2
DOIs	https://doi.org/10.1115/1.2829450
State	Published - Jun 1999
Externally published	Yes

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Computer Science Applications
Computer Graphics and Computer-Aided Design

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abstract = "The paper presents a geometric investigation of collision-free 3-axis milling of surfaces. We consider surfaces with a global shape condition: they shall be interpretable as the graphs of bivariate functions or shall be star-shaped with respect to a point. If those surfaces satisfy a local millability criterion involving curvature information, it is proved that this implies globally gouge-free milling. The proofs are based on general offset surfaces. The results can be applied to tool-motion planning and the computation of optimal cutter shapes.",

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Geometric criteria for gouge-free three-axis iviilling of sculptured surfaces

Abstract

ASJC Scopus subject areas

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