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- Guillermo D. Cañas, Lorenzo Rosasco
- NIPS
- 2012

We study the problem of estimating, in the sense of optimal transport metrics, a measure which is assumed supported on a manifold embedded in a Hilbert space. By establishing a precise connection… (More)

We study the problem of estimating a manifold from random samples. In particular, we consider piecewise constant and piecewise linear estimators induced by k-means and k-flats, and analyze their… (More)

- Guillermo D. Cañas, Steven J. Gortler
- The Visual Computer
- 2006

We present a method for remeshing surfaces that is both general and efficient. Existing efficient methods are restrictive in the type of remeshings they produce, while methods that are able to… (More)

- Guillermo D. Cañas, Steven J. Gortler
- Discrete & Computational Geometry
- 2011

We describe conditions under which an appropriately-defined anisotropic Voronoi diagram of a set of sites in Euclidean space is guaranteed to be composed of connected cells in any number of… (More)

- Guillermo D. Cañas
- ArXiv
- 2012

Recently, simple conditions for well-behaved-ness of anisotropic Voronoi diagrams have been proposed. While these conditions ensure well-behaved-ness of two types of practical anisotropic Voronoi… (More)

- Guillermo D. Cañas, Yuriy Vasilyev, Yair Adato, Todd E. Zickler, Steven J. Gortler, Ohad Ben-Shahar
- 2009 IEEE 12th International Conference on…
- 2009

When a curved mirror-like surface moves relative to its environment, it induces a motion field—or specular flow— on the image plane that observes it. This specular flow is related to the mirror's… (More)

- Alessandro Rudi, Guillermo D. Cañas, Lorenzo Rosasco
- NIPS
- 2013

A large number of algorithms in machine learning, from principal component analysis (PCA), and its non-linear (kernel) extensions, to more recent spectral embedding and support estimation methods,… (More)

- Guillermo D. Cañas, Steven J. Gortler
- IMR
- 2006

We study the problem of constructing asymptotically optimal meshes with respect to the gradient error of a given input function. We provide simpler proofs of previously known results and show… (More)

- Guillermo D. Cañas, Steven J. Gortler
- ArXiv
- 2011

Given an anisotropic Voronoi diagram, we address the fundamental question of when its dual is embedded. We show that, by requiring only that the primal be orphan-free (have connected Voronoi… (More)

- Guillermo D. Cañas, Steven J. Gortler
- Symposium on Computational Geometry
- 2012

Given an anisotropic Voronoi diagram, we address the fundamental question of when its dual is embedded. We show that, by requiring only that the primal be orphan-free (have connected Voronoi… (More)