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| Authors: | : Barrera Kristiansen AB |
| | : Creative Media Lab, University of Gävle, Sweden |
| | : Centre for Image Analysis, Uppsala University, Sweden |
| Publication title: | Connected Minimal Acceleration Trigonometric Curves |
| Conference: | SIGRAD 2005 The Annual SIGRAD Conference Special Theme – Mobile Graphics |
| Publication type: | Abstract and Fulltext |
| Issue: | 016 |
| Article No.: | 001 |
| Abstract: | 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. |
| Language: | English |
| Keywords: | Trigonometric curves, Hermite curves, least square minimization |
| Year: | 2005 |
| No. of pages: | 5 |
| Pages: | 1-5 |
| Series: | Linköping Electronic Conference Proceedings |
| ISSN (print): | 1650-3686 |
| ISSN (online): | 1650-3740 |
| File: | http://www.ep.liu.se/ecp/016/001/ecp01601.pdf |
| Available: | 2005-11-23 |
| Publisher: | Linköping University Electronic Press, Linköpings universitet |
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