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Connected Minimal Acceleration Trigonometric Curves
University of Gävle, Department of Mathematics, Natural and Computer Sciences, Ämnesavdelningen för datavetenskap.
2005 (English)Conference paper, Published paper (Refereed)
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.

Place, publisher, year, edition, pages
2005. p. 1-5
Identifiers
URN: urn:nbn:se:hig:diva-1013OAI: oai:DiVA.org:hig-1013DiVA, id: diva2:117675
Conference
SIGRAD 2005 The Annual SIGRAD Conference Special Theme – Mobile Graphics November 23-24, 2005 Lund, Sweden
Available from: 2008-01-11 Created: 2008-01-11 Last updated: 2018-03-13Bibliographically approved

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Hast, Anders

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