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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書誌詳細
第一著者: Said, A.M.
フォーマット: 論文
出版事項: Springer Verlag 2014
オンライン・アクセス: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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要約: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.