Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Energy constraints on parameterized models
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Simple constrained deformations for geometric modeling and interactive design
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
Predicting the drape of woven cloth using interacting particles
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Computational modeling for the computer animation of legged figures
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Constraints methods for flexible models
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Arc-Length-Based Axial Deformation and Length Preserved Animation
CA '97 Proceedings of the Computer Animation
Global and local deformations of solid primitives
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Deriving a Particle System from Continuum Mechanics for the Animation of Deformable Objects
IEEE Transactions on Visualization and Computer Graphics
Volume-preserving space deformation
Computers and Graphics
Point-Sampled Surface Simulation Based on Mass-Spring System
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
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An arc-length preserving deformation for curves is presented by combining subdivision and inverse Kinematic. A curve is discreted into polyline first, then the polyline is deformed with its arc-length preserved in the sense of minimizing energy. Subdivision method is applied to obtain a smooth curve (at least C1 continuity) with proper weights selected to keep the length of the resulting curve equal to the original curve. This technique also provides interactive response by progressively refining the solution of the optimization problem.