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231223s2011 xx |||||o 00| ||eng c |
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|a 10.1109/TVCG.2010.54
|2 doi
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|a eng
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| 100 |
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|a Ahn, Woojin
|e verfasserin
|4 aut
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|a Real-time resolution of self-intersection in dynamic cylindrical free-form deformation
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|c 2011
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|a Text
|b txt
|2 rdacontent
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|a ƒaComputermedien
|b c
|2 rdamedia
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|a ƒa Online-Ressource
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|2 rdacarrier
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|a Date Completed 11.01.2012
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|a Date Revised 24.04.2012
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|a published: Print
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|a Citation Status MEDLINE
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|a This paper presents a method of self-intersection detection and resolution for dynamic cylindrical-lattice-based free-form deformation (FFD). The lattice-based approach allows efficient computation of deformation of complex geometries. But excessive deformation can cause visual anomalies such as surface infiltration and distortion. This paper derives a geometrically intuitive sufficient condition to guarantee that the FFD function is a homeomorphism and there is no self-intersection. The FFD function is defined by linear and quadratic B-Spline functions with the control points of the cylindrical lattice cell. The sufficient condition is satisfied if each trilinear function of the nine prism-shaped pentahedrons derived from the cell has a positive Jacobian determinant. The positivity is satisfied if the 12 tetrahedrons derived from the pentahedron have positive volumes. Based on the sufficient condition, the proposed method converts the self-intersection problem into a point-face collision detection and response problem suitable for dynamic simulation. The efficiency and accuracy of the self-intersection detection algorithm is analyzed and compared with a previous method. The results show that the proposed technique allows simulation of excessive deformation of tubular objects in an efficient and realistic manner
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|a Journal Article
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|a Research Support, Non-U.S. Gov't
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| 700 |
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|a Lee, Doo Yong
|e verfasserin
|4 aut
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| 773 |
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|i Enthalten in
|t IEEE transactions on visualization and computer graphics
|d 1998
|g 17(2011), 4 vom: 22. Apr., Seite 515-26
|w (DE-627)NLM098269445
|x 1941-0506
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| 773 |
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|g volume:17
|g year:2011
|g number:4
|g day:22
|g month:04
|g pages:515-26
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