Arc-length preserving curve deformation based on subdivision
Journal of Computational and Applied Mathematics - Special issue: The international symposium on computing and information (ISCI2004)
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Computer-Aided Design
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ACM Transactions on Graphics (TOG)
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ACM Transactions on Graphics (TOG)
Dynamic Axial Curve ---Pair Based Deformation
Edutainment '08 Proceedings of the 3rd international conference on Technologies for E-Learning and Digital Entertainment
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Journal of Computer Science and Technology
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International Journal of Computer Applications in Technology
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Direct manipulation of free-form deformation using curve-pairs
Computer-Aided Design
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In real life, some objects may deform along axial curves and the lengths of their skeletons usually remain constant during the axial deformation, such as a swimming fish, a swaying tree etc. This paper presents a practical approach of arc-length based axial deformation and axial length preserved animation. Space spanned by the arc-length parameter and the rotation minimizing frame on the axis is taken as the embedding space. During animation, the keyframe axial curves are consistently approximated by polylines after sufficient subdivisions and both the edge lengths and the directional vertex angles of the keyframe polylines(or unit edge vectors) are then interpolated to generate the intermediate polylines which are regarded as the discrete expressions of the intermediate axes. Experiments show that our method is very useful, intuitive and easy to control.