On surface approximation using developable surfaces

H. Y. Chen; I. K. Lee; S. Leopoldseder; H. Pottmann; T. Randrup; J. Wallner

doi:10.1006/gmip.1999.0487

On surface approximation using developable surfaces

H. Y. Chen^*, I. K. Lee, S. Leopoldseder, H. Pottmann, T. Randrup, J. Wallner

^*Corresponding author for this work

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

65 Scopus citations

Abstract

We introduce a method for approximating a given surface by a developable surface. It will be either a G¹ surface consisting of pieces of cones or cylinders of revolution or a G^r NURBS developable surface. Our algorithm will also deal properly with the problems of reverse engineering and produce robust approximation of given scattered data. The presented technique can be applied in computer aided manufacturing, e.g. in shipbuilding.

Original language	English (US)
Pages (from-to)	110-124
Number of pages	15
Journal	Graphical Models and Image Processing
Volume	61
Issue number	2
DOIs	https://doi.org/10.1006/gmip.1999.0487
State	Published - Mar 1 1999
Externally published	Yes

ASJC Scopus subject areas

Modeling and Simulation
Computer Vision and Pattern Recognition
Geometry and Topology
Computer Graphics and Computer-Aided Design

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10.1006/gmip.1999.0487

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title = "On surface approximation using developable surfaces",

abstract = "We introduce a method for approximating a given surface by a developable surface. It will be either a G1 surface consisting of pieces of cones or cylinders of revolution or a Gr NURBS developable surface. Our algorithm will also deal properly with the problems of reverse engineering and produce robust approximation of given scattered data. The presented technique can be applied in computer aided manufacturing, e.g. in shipbuilding.",

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AU - Leopoldseder, S.

AU - Pottmann, H.

AU - Randrup, T.

AU - Wallner, J.

PY - 1999/3/1

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N2 - We introduce a method for approximating a given surface by a developable surface. It will be either a G1 surface consisting of pieces of cones or cylinders of revolution or a Gr NURBS developable surface. Our algorithm will also deal properly with the problems of reverse engineering and produce robust approximation of given scattered data. The presented technique can be applied in computer aided manufacturing, e.g. in shipbuilding.

AB - We introduce a method for approximating a given surface by a developable surface. It will be either a G1 surface consisting of pieces of cones or cylinders of revolution or a Gr NURBS developable surface. Our algorithm will also deal properly with the problems of reverse engineering and produce robust approximation of given scattered data. The presented technique can be applied in computer aided manufacturing, e.g. in shipbuilding.

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On surface approximation using developable surfaces

Abstract

ASJC Scopus subject areas

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