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

Helmut Pottmann; Johannes Wallner; Georg Glaeser; Bahram Ravani

doi:10.1115/DETC98/MECH-5874

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

Helmut Pottmann^*, Johannes Wallner, Georg Glaeser, Bahram Ravani

^*Corresponding author for this work

Applied Mathematics and Computational Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 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 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)
Title of host publication	25th Biennial Mechanisms Conference
Publisher	The American Society of Mechanical Engineers(ASME)
ISBN (Electronic)	9780791880302
DOIs	https://doi.org/10.1115/DETC98/MECH-5874
State	Published - 1998
Event	ASME 1998 Design Engineering Technical Conferences, DETC 1998 - Atlanta, United States Duration: Sep 13 1998 → Sep 16 1998

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	1A-1998

Conference

Conference	ASME 1998 Design Engineering Technical Conferences, DETC 1998
Country/Territory	United States
City	Atlanta
Period	09/13/98 → 09/16/98

Bibliographical note

Publisher Copyright:
© 1998 American Society of Mechanical Engineers (ASME). All rights reserved.

ASJC Scopus subject areas

Mechanical Engineering
Computer Graphics and Computer-Aided Design
Computer Science Applications
Modeling and Simulation

Access to Document

10.1115/DETC98/MECH-5874

Cite this

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title = "Geometric criteria for gouge-free three-axis milling of sculptured surfaces",

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 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.",

author = "Helmut Pottmann and Johannes Wallner and Georg Glaeser and Bahram Ravani",

note = "Publisher Copyright: {\textcopyright} 1998 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 1998 Design Engineering Technical Conferences, DETC 1998 ; Conference date: 13-09-1998 Through 16-09-1998",

year = "1998",

doi = "10.1115/DETC98/MECH-5874",

language = "English (US)",

series = "Proceedings of the ASME Design Engineering Technical Conference",

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Pottmann, H, Wallner, J, Glaeser, G & Ravani, B 1998, Geometric criteria for gouge-free three-axis milling of sculptured surfaces. in 25th Biennial Mechanisms Conference. Proceedings of the ASME Design Engineering Technical Conference, vol. 1A-1998, The American Society of Mechanical Engineers(ASME), ASME 1998 Design Engineering Technical Conferences, DETC 1998, Atlanta, United States, 09/13/98. https://doi.org/10.1115/DETC98/MECH-5874

Geometric criteria for gouge-free three-axis milling of sculptured surfaces. / Pottmann, Helmut; Wallner, Johannes; Glaeser, Georg et al.
25th Biennial Mechanisms Conference. The American Society of Mechanical Engineers(ASME), 1998. (Proceedings of the ASME Design Engineering Technical Conference; Vol. 1A-1998).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Pottmann, Helmut

AU - Wallner, Johannes

AU - Glaeser, Georg

AU - Ravani, Bahram

PY - 1998

Y1 - 1998

N2 - 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 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.

AB - 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 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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DO - 10.1115/DETC98/MECH-5874

M3 - Conference contribution

AN - SCOPUS:0006497366

T3 - Proceedings of the ASME Design Engineering Technical Conference

BT - 25th Biennial Mechanisms Conference

PB - The American Society of Mechanical Engineers(ASME)

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Y2 - 13 September 1998 through 16 September 1998

ER -

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

Abstract

Publication series

Conference

Bibliographical note

ASJC Scopus subject areas

Access to Document

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