Computer-Aided Design
Steady affine motions and morphs
ACM Transactions on Graphics (TOG)
Temporal noise control for sketchy animation
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Non-Photorealistic Animation and Rendering
HelSweeper: Screw-sweeps of canal surfaces
Computer-Aided Design
Collision-free and smooth trajectory computation in cluttered environments
International Journal of Robotics Research
Interproximate curve subdivision
Journal of Computational and Applied Mathematics
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Although a piecewise helical (polyscrew) motion is continuous, velocities are typically discontinuous at control poses when the motion switches between screws. We obtain a smooth motion through polyscrew 4-point, B-spline, or Jarek subdivision, which are trivial to implement and can be animated in real time.