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Implementation of NURBS curves into the VARKON CAD system
Örebro University, Department of Technology. (CAD Technology)
Örebro University, Department of Technology. (CAD Technology)
2003 (English)Report (Other academic)
Abstract [en]

This paper describes the implementation of NURBS-curves into the VARKON CAD-system. NURBS is an acronym for ”Non Uniform Rational B-Spline” and is widely used in Computer Aided Design (CAD) to represent both curves and surfaces. The software sources of the VARKON CAD system is released under GNU/GPL licence, and is now maintained by the CAD-research group at O¨ rebro University. The document gives a background to the area of curves in Computer Aided Design, different curve types, their main properties etc. This introduction is followed by a detailed explanation of the theory behind NURBS and the implementation in VARKON. During the implementation an effort has been made to benefit from the structure of previously implemented curve types. This made it possible to reduce the need of new code mainly to the evaluation routines. The possibility to make geometrical analyzes on a curve is an important part of a CAD-system. The theories and implementations of derivatives, normals and curvature are explained here as well as the calculation of an analytical offset curve. The document can serve as an introduction to curves in Computer Aided Design as well as an example of what kind of problem one has to deal with when implementing geometric entities in a CAD-system.

Place, publisher, year, edition, pages
Örebro: Örebro universitet , 2003. , p. 50
Series
Studies from the Department of Technology at Örebro University, ISSN 1404-7225 ; 8
Keywords [en]
NURBS curves, VARKON CAD system, B-splines curves
Research subject
maskinteknik
Identifiers
URN: urn:nbn:se:oru:diva-4729OAI: oai:DiVA.org:oru-4729DiVA, id: diva2:139028
Available from: 2008-11-14 Created: 2008-11-14 Last updated: 2017-10-18Bibliographically approved

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http://www.oru.se/oru/upload/Institutioner/Teknik/Dokument/Skriftserien/NURBS_Varkon.pdf

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Kjellander, Johan

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf