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Connected Minimal A...
Connected Minimal Acceleration Trigonometric Curves
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- Barrera, Tony (författare)
- Barrera-Kristiansen AB
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- Hast, Anders (författare)
- Högskolan i Gävle,Ämnesavdelningen för datavetenskap
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- Bengtsson, Ewert (författare)
- Uppsala universitet,Centrum för bildanalys,Datoriserad bildanalys
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(creator_code:org_t)
- 2005
- 2005
- Engelska.
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Ingår i: SIGRAD 2005 The Annual SIGRAD Conference Special Theme – Mobile Graphics November 23-24, 2005 Lund, Sweden.
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Data- och informationsvetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences (hsv//eng)
Nyckelord
- Information technology
- Informationsteknik
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)