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Connected Minimal Acceleration Trigonometric Curves
Barrera-Kristiansen AB.
University of Gävle. (Creative Media Lab)
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Matematisk-datavetenskapliga sektionen, Centrum för bildanalys. Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Matematisk-datavetenskapliga sektionen, Institutionen för informationsteknologi, Datoriserad bildanalys.
2005 (engelsk)Inngår i: SIGRAD 2005 The Annual SIGRAD Conference Special Theme – Mobile Graphics November 23-24, 2005 Lund, Sweden, 2005Konferansepaper, Publicerat paper (Fagfellevurdert)
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.

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2005.
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URN: urn:nbn:se:uu:diva-76170OAI: oai:DiVA.org:uu-76170DiVA, id: diva2:104082
Tilgjengelig fra: 2006-02-27 Laget: 2006-02-27 Sist oppdatert: 2018-01-14bibliografisk kontrollert

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

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