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Can I read Bounded Distortion Parametrization in the Space of Metrics on EtoBox?
Bounded Distortion Parametrization in the Space of Metrics by Edward Chien; Zohar Levi; Ofir Weber is a Computer Science article available to read on EtoBox.
What is Bounded Distortion Parametrization in the Space of Metrics about?
We present a framework for global parametrization that utilizes the edge lengths (squared) of the mesh as variables. Given a mesh with arbitrary topology and prescribed cone singularities, we flatten the original metric of the surface under strict bounds on the metric distortion (various types of conformal and isometric measures are supported). Our key observation is that the space of bounded distortion metrics (given any particular bounds) is convex, and a broad range of useful and well-known distortion energies are convex as well. With the addition of nonlinear Gaussian curvature constraints, the parametrization problem is formulated as a constrained optimization problem, and a solution gives a locally injective map. Our method is easy to implement. Sequential convex programming (SCP) is utilized to solve this problem effectively. We demonstrate the flexibility of the method and its uncompromised robustness and compare it to state-of-the-art methods.
Who reads Bounded Distortion Parametrization in the Space of Metrics?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- Edward Chien; Zohar Levi; Ofir Weber
- Publisher
- ACM
- Published
- 2016
- Language
- EN
- Field
- Computer Science (Physical Sciences)