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

Department of Computer Science

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

61 Citations (Scopus)

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
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
Publication status	Published - 1999 Mar 1

Bibliographical note

Funding Information:
This work has been supported by Grants P11357-MAT and P12252-MAT of the Austrian Science Foundation, by Grants P00401 of the Systems Engineering Research Institute, Republic of Korea and EF586/CAGD of the Danish Academy of Technical Sciences.

All Science Journal Classification (ASJC) codes

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

Access to Document

10.1006/gmip.1999.0487

Cite this

@article{4966c22df92a44a3ac40ce057567eb51,

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.",

author = "Chen, {H. Y.} and Lee, {I. K.} and S. Leopoldseder and H. Pottmann and T. Randrup and J. Wallner",

note = "Funding Information: This work has been supported by Grants P11357-MAT and P12252-MAT of the Austrian Science Foundation, by Grants P00401 of the Systems Engineering Research Institute, Republic of Korea and EF586/CAGD of the Danish Academy of Technical Sciences.",

year = "1999",

month = mar,

day = "1",

doi = "10.1006/gmip.1999.0487",

language = "English",

volume = "61",

pages = "110--124",

journal = "Graphical Models and Image Processing",

issn = "1077-3169",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - On surface approximation using developable surfaces

AU - Chen, H. Y.

AU - Lee, I. K.

AU - Leopoldseder, S.

AU - Pottmann, H.

AU - Randrup, T.

AU - Wallner, J.

N1 - Funding Information: This work has been supported by Grants P11357-MAT and P12252-MAT of the Austrian Science Foundation, by Grants P00401 of the Systems Engineering Research Institute, Republic of Korea and EF586/CAGD of the Danish Academy of Technical Sciences.

PY - 1999/3/1

Y1 - 1999/3/1

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.

UR - http://www.scopus.com/inward/record.url?scp=0032661640&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032661640&partnerID=8YFLogxK

U2 - 10.1006/gmip.1999.0487

DO - 10.1006/gmip.1999.0487

M3 - Article

AN - SCOPUS:0032661640

VL - 61

SP - 110

EP - 124

JO - Graphical Models and Image Processing

JF - Graphical Models and Image Processing

SN - 1077-3169

IS - 2

ER -

On surface approximation using developable surfaces

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this