Vector-projection approach to curve framing for extruded surfaces

Curve framing has numerous applications in computer graphics modeling, e.g., in the construction of extruded surfaces. Commonly used curve framing techniques such as the Frenet frame, parallel transport frame and 'up-vector' frame cannot handle all types of curves. Mismatch between the tec...

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Main Author: Md. Said, A.
Format: Article
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.32765 /
Published: Springer Verlag 2013
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099486631&doi=10.1007%2f978-3-642-39637-3_47&partnerID=40&md5=fda493a473a0723764d61e9842001b37
http://eprints.utp.edu.my/32765/
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spelling utp-eprints.327652022-03-30T01:05:56Z Vector-projection approach to curve framing for extruded surfaces Md. Said, A. Curve framing has numerous applications in computer graphics modeling, e.g., in the construction of extruded surfaces. Commonly used curve framing techniques such as the Frenet frame, parallel transport frame and 'up-vector' frame cannot handle all types of curves. Mismatch between the technique used and the curve being modeled may result in the extruded surfaces being twisted. We propose a simple end-to-end vector-projection approach to curve framing. Our results show that the technique yields less twists compared to those based on the Frenet frame. © 2013 Springer-Verlag Berlin Heidelberg. Springer Verlag 2013 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099486631&doi=10.1007%2f978-3-642-39637-3_47&partnerID=40&md5=fda493a473a0723764d61e9842001b37 Md. Said, A. (2013) Vector-projection approach to curve framing for extruded surfaces. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 7971 L (PART 1). pp. 596-607. http://eprints.utp.edu.my/32765/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description Curve framing has numerous applications in computer graphics modeling, e.g., in the construction of extruded surfaces. Commonly used curve framing techniques such as the Frenet frame, parallel transport frame and 'up-vector' frame cannot handle all types of curves. Mismatch between the technique used and the curve being modeled may result in the extruded surfaces being twisted. We propose a simple end-to-end vector-projection approach to curve framing. Our results show that the technique yields less twists compared to those based on the Frenet frame. © 2013 Springer-Verlag Berlin Heidelberg.
format Article
author Md. Said, A.
spellingShingle Md. Said, A.
Vector-projection approach to curve framing for extruded surfaces
author_sort Md. Said, A.
title Vector-projection approach to curve framing for extruded surfaces
title_short Vector-projection approach to curve framing for extruded surfaces
title_full Vector-projection approach to curve framing for extruded surfaces
title_fullStr Vector-projection approach to curve framing for extruded surfaces
title_full_unstemmed Vector-projection approach to curve framing for extruded surfaces
title_sort vector-projection approach to curve framing for extruded surfaces
publisher Springer Verlag
publishDate 2013
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099486631&doi=10.1007%2f978-3-642-39637-3_47&partnerID=40&md5=fda493a473a0723764d61e9842001b37
http://eprints.utp.edu.my/32765/
_version_ 1741197779896631296
score 11.62408

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