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Presentation

Medial Sphere Preconditioning for Knot Untangling and Volume-Filling Curves
DescriptionWe propose a fast, robust, and user-controllable algorithm for knot untangling and volume-filling curves. We extend prior work on surface-filling curves to the more challenging case of 3D volumes, equipped with a specialized gradient preconditioner that allows larger step sizes. Our method exhibits orders of magnitude faster runtime than existing methods. Our framework provides a whole new set of parameters to guide the shape of the curve, making it ideal for interactive design applications.