Files:DescriptionFile size FormatBrowse
Fulltext18.61 MBPDF (requires Acrobat Reader)Next
  
Authors:Anders Hast: Creative Media Lab, University of Gävle, Sweden
Ewert Bengtsson: Centre for Image Analysis, Uppsala University, Sweden
Tony Barrera: Barrera Kristiansen AB
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

REFERENCE TO THIS PAGE
Anders Hast, Ewert Bengtsson, Tony Barrera (2005). Connected Minimal Acceleration Trigonometric Curves, SIGRAD 2005 The Annual SIGRAD Conference Special Theme – Mobile Graphics http://www.ep.liu.se/ecp_article/index.en.aspx?issue=016;article=001 (accessed 4/20/2014)