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Connected Minimal Acceleration Trigonometric Curves
Högskolan i Gävle, Institutionen för matematik, natur- och datavetenskap, Ämnesavdelningen för datavetenskap.
2005 (Engelska)Konferensbidrag, Publicerat paper (Refereegranskat)
Abstract [en]

We present a technique that can be used to obtain a series of connected minimal bending trigonometric splines that will intersect any number of predefined points in space. The minimal bending property is obtained by a least square minimization of the acceleration. Each curve segment between two consecutive points will be a trigonometric Hermite spline obtained from a Fourier series and its four first terms. The proposed method can be used for a number of points and predefined tangents. The tangent length will then be optimized to yield a minimal bending curve. We also show how both the tangent direction and length can be optimized to give as smooth curves as possible. It is also possible to obtain a closed loop of minimal bending curves. These types of curves can be useful tools for 3D modelling, etc.

Ort, förlag, år, upplaga, sidor
2005. s. 1-5
Identifikatorer
URN: urn:nbn:se:hig:diva-1013OAI: oai:DiVA.org:hig-1013DiVA, id: diva2:117675
Konferens
SIGRAD 2005 The Annual SIGRAD Conference Special Theme – Mobile Graphics November 23-24, 2005 Lund, Sweden
Tillgänglig från: 2008-01-11 Skapad: 2008-01-11 Senast uppdaterad: 2018-03-13Bibliografiskt granskad

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Hast, Anders

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