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Authors:Tony Barrera: Barrera Kristiansen AB
Anders Hast: Creative Media Lab, University of Gävle, Sweden
Ewert Bengtßon: 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
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.
Keywords:Trigonometric curves; Hermite curves; least square minimization
No. of pages:5
Series:Linköping Electronic Conference Proceedings
ISSN (print):1650-3686
ISSN (online):1650-3740
Publisher:Linköping University Electronic Press; Linköpings universitet

Tony Barrera, Anders Hast, Ewert Bengtßon (2005). Connected Minimal Acceleration Trigonometric Curves, SIGRAD 2005 The Annual SIGRAD Conference Special Theme – Mobile Graphics;article=001 (accessed 3/29/2015)