Concept

Cartesian closed category

Related publications (35)

A Rescaled Localized Radial Basis Function Interpolation On Non-Cartesian And Nonconforming Grids

Alfio Quarteroni, Simone Deparis, Davide Forti

In this paper we propose a rescaled localized radial basis function (RL-RBF) interpolation method, based on the use of compactly supported radial basis functions. Starting from the classical RBF interpolation technique, we introduce a rescaling that allows ...

Siam Publications2014

Extensions of a result of Elekes and Rónyai

Frank de Zeeuw

Many problems in combinatorial geometry can be formulated in terms of curves or surfaces containing many points of a cartesian product. In 2000, Elekes and Rónyai proved that if the graph of a polynomial f(x, y) contains cn2 points of an n × n × n cartesia ...

Elsevier2013

3D spherical analysis of baryon acoustic oscillations

Anaïs Marie Rassat

Context. Baryon acoustic oscillations (BAOs) are oscillatory features in the galaxy power spectrum which are used as a standard rod to measure the cosmological expansion. These have been studied in Cartesian space (Fourier or real space) or in spherical ha ...

2012

Categorical Foundations for K-theory

Nicolas Mathieu Michel

K-Theory was originally defined by Grothendieck as a contravariant functor from a subcategory of schemes to abelian groups, known today as K0. The same kind of construction was then applied to other fields of mathematics, like spaces and (not necessarily c ...

EPFL2010

A Provably Starvation-Free Distributed Directory Protocol

Vincent Gramoli, Hagit Albo Attiya

This paper presents Combine, a distributed directory protocol for shared objects, designed for large-scale distributed systems. Directory protocols support move requests, allowing to write the object locally, as well as lookup requests, providing a read-on ...

Springer-Verlag2010

Quotient method for controlling the acrobot

Dominique Bonvin, Philippe Müllhaupt

This paper describes a two-sweep control design method to stabilize the acrobot, an input-afﬁne under-actuated system, at the upper equilibrium point. In the forward sweep, the system is successively reduced, one dimension at a time, until a two-dimensiona ...

2009

Reversible, fast, and high-quality grid conversions

Dimitri Nestor Alice Van De Ville

A new grid conversion method is proposed to resample between two 2-D periodic lattices with the same sampling density. The main feature of our approach is the symmetric reversibility, which means that when using the same algorithm for the converse operatio ...

Institute of Electrical and Electronics Engineers2008

Closedness of the Tangent Spaces to the Orbits of Proper Actions

Madeleine Jotz

In this note we show that, for any proper action of a Banach-Lie group G on a Banach manifold M, the corresponding tangent maps g -> T-x(M) have closed range for each x is an element of M, i.e., the tangent spaces of the orbits are closed. As a consequence ...

2008

Practical Box Splines for Reconstruction on the Body Centered Cubic Lattice

Dimitri Nestor Alice Van De Ville

We introduce a family of box splines for efficient, accurate, and smooth reconstruction of volumetric data sampled on the body-centered cubic (BCC) lattice, which is the favorable volumetric sampling pattern due to its optimal spectral sphere packing prope ...

IEEE2008

Quasi-Interpolating Spline Models for Hexagonally-Sampled Data

Dimitri Nestor Alice Van De Ville

The reconstruction of a continuous-domain representation from sampled data is an essential element of many image processing tasks, in particular, image resampling. Until today, most image data have been available on Cartesian lattices, despite the many the ...

IEEE2007

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