Non-Euclidean geometry

Formal sciences
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Geometry
Non-Euclidean geometry

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Real-time Implementation of Gaussian Image Blending in a Spherical Light Field Camera

Alexandre Schmid, Yusuf Leblebici, Vladan Popovic, Hossein Afshari

Panoptic is a custom spherical light field camera used as a polydioptric system where imagers are distributed over a spherical geometry, each having its own vision of the surrounding and a distinct focal plane. The spherical light field camera records ligh ...

Ieee2013

Closing Large Hyperbolic 2g-gons : a Way to Study Hyperelliptic Riemann Surfaces of Genus g

Poincaré's uniformisation theorem says that any Riemann surface is conformally equivalent to a unique (up to isometry) surface of constant Gauss curvature 0, 1 or –1. The (topologically) richest of these three worlds is for curvature –1 formed of hyperboli ...

EPFL2012

Finite Element Method on Riemann Surfaces and Applications to the Laplacian Spectrum

Marc Maintrot

The objective of this PhD thesis is the approximate computation of the solutions of the Spectral Problem associated with the Laplace operator on a compact Riemann surface without boundaries. A Riemann surface can be seen as a gluing of portions of the Hype ...

EPFL2012

Two-axis solar tracking accomplished through small lateral translations

High-concentration solar-power optics require precise two-axis tracking. The planar micro-optic solar concentrator uses a lenslet array over a planar waveguide with small reflective facets at the focal point of each lenslet to couple incident light into th ...

Optical Soc Amer2012

3D Reconstruction Of Wave-Propagated Point Sources From Boundary Measurements Using Joint Sparsity And Finite Rate Of Innovation

Dimitri Nestor Alice Van De Ville, Thierry Blu, Zafer Dogan, Ivana Jovanovic

Reconstruction of point sources from boundary measurements is a challenging problem in many applications. Recently, we proposed a new sensing and non-iterative reconstruction scheme for systems governed by the three-dimensional wave equation. The points so ...

IEEE Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2012

Real-time FPGA implementation of linear blending vision reconstruction algorithm using a spherical light field camera

Alexandre Schmid, Yusuf Leblebici, Vladan Popovic, Hossein Afshari, Abdulkadir Akin

A custom spherical light-field camera used as a polydioptric system where imagers are distributed over a spherical geometry, each having its own vision of the surrounding and distinct focal plane. The spherical light-field camera is also an omnidirectional ...

2012

Design and Implementation of Multi-camera Systems Distributed over a Spherical Geometry

Alexandre Schmid, Yusuf Leblebici, Hossein Afshari, Kerem Seyid

The current trend in constructing high-end computing systems consists of parallelizing large numbers of processors. A similar trend is observed in digital imaging where multiple camera inputs are utilized to obtain multiple images of a scene and thus enhan ...

2012

Reflectance and transmittance model for recto-verso halftone prints: spectral predictions with multi-ink halftones

Roger Hersch, Mathieu Hébert

We extend a previously proposed spectral reflectance and transmittance prediction model for recto-verso prints to the case of multi-ink halftones. The model takes into account the multiple reflections and the lateral propagation of light within the paper s ...

2009

Applications of a theorem of Singerman about Fuchsian groups

Hugo Parlier

Assume that we have a (compact) Riemann surface S, of genus greater than 2, with S = D/Gamma, where D is the complex unit disc and Gamma is a surface Fuchsian group. Let us further consider that S has an automorphism group G in such a way that the orbifold ...

2008

Compositional model for predicting multilayer reflectances and transmittances in color reproduction

Mathieu Hébert

The color of materials such as paints, prints and glass may be characterized by a reflectance or a transmittance spectrum. Modeling their reflectance and their transmittance requires describing the interaction of light, from the light source to the observe ...

EPFL2006

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Compositional model for predicting multilayer reflectances and transmittances in color reproduction

Mathieu Hébert

EPFL2006

Closing Large Hyperbolic 2g-gons : a Way to Study Hyperelliptic Riemann Surfaces of Genus g

EPFL2012

3D Reconstruction Of Wave-Propagated Point Sources From Boundary Measurements Using Joint Sparsity And Finite Rate Of Innovation

Dimitri Nestor Alice Van De Ville, Thierry Blu, Zafer Dogan, Ivana Jovanovic

IEEE Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2012