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Connected Minimal Acceleration Trigonometric Curves
Barrera-Kristiansen AB.
University of Gävle. (Creative Media Lab)
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Centre for Image Analysis. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computerized Image Analysis.
2005 (English)In: SIGRAD 2005 The Annual SIGRAD Conference Special Theme – Mobile Graphics November 23-24, 2005 Lund, Sweden, 2005Conference 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.
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:uu:diva-76170OAI: oai:DiVA.org:uu-76170DiVA: diva2:104082
Available from: 2006-02-27 Created: 2006-02-27 Last updated: 2017-02-08Bibliographically approved

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http://www.ep.liu.se/ecp/016/001/

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Bengtsson, Ewert

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