Article | SIGRAD 2005 The Annual SIGRAD Conference Special Theme - Mobile Graphics | Connected Minimal Acceleration Trigonometric Curves

Title:
Connected Minimal Acceleration Trigonometric Curves
Author:
Tony Barrera: Barrera Kristiansen AB Anders Hast: Creative Media Lab, University of Gävle, Sweden Ewert Bengtsson: Centre for Image Analysis, Uppsala University, Sweden
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Full text (pdf)
Year:
2005
Conference:
SIGRAD 2005 The Annual SIGRAD Conference Special Theme - Mobile Graphics
Issue:
016
Article no.:
001
Pages:
1-5
No. of pages:
5
Publication type:
Abstract and Fulltext
Published:
2005-11-23
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press; Linköpings universitet


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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.

Keywords: Trigonometric curves; Hermite curves; least square minimization

SIGRAD 2005 The Annual SIGRAD Conference Special Theme - Mobile Graphics

Author:
Tony Barrera, Anders Hast, Ewert Bengtsson
Title:
Connected Minimal Acceleration Trigonometric Curves
References:

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SIGRAD 2005 The Annual SIGRAD Conference Special Theme - Mobile Graphics

Author:
Tony Barrera, Anders Hast, Ewert Bengtsson
Title:
Connected Minimal Acceleration Trigonometric Curves
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