Connected Minimal Acceleration Trigonometric Curves
2005 (English)In: SIGRAD 2005 The Annual SIGRAD Conference Special Theme – Mobile Graphics November 23-24, 2005 Lund, Sweden, 2005Conference paper (Refereed)
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.
Place, publisher, year, edition, pages
Computer and Information Science
IdentifiersURN: urn:nbn:se:uu:diva-76170OAI: oai:DiVA.org:uu-76170DiVA: diva2:104082