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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: Said, A.M.
Format: Article
Published: Springer Verlag 2014
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84921513703&partnerID=40&md5=5da39018cad16d895d0518c70a6e5d22
http://eprints.utp.edu.my/31837/
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spelling my.utp.eprints.318372022-03-29T03:37:59Z Vector-projection approach to curve framing for extruded surfaces Said, A.M. 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. © Springer-Verlag Berlin Heidelberg 2013. Springer Verlag 2014 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84921513703&partnerID=40&md5=5da39018cad16d895d0518c70a6e5d22 Said, A.M. (2014) 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 . pp. 596-607. http://eprints.utp.edu.my/31837/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
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. © Springer-Verlag Berlin Heidelberg 2013.
format Article
author Said, A.M.
spellingShingle Said, A.M.
Vector-projection approach to curve framing for extruded surfaces
author_facet Said, A.M.
author_sort Said, A.M.
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 2014
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-84921513703&partnerID=40&md5=5da39018cad16d895d0518c70a6e5d22
http://eprints.utp.edu.my/31837/
_version_ 1738657303348903936
score 13.211869

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