In the framework of Geoland, Infoterra France has mapped with MERIS the distribution of annual crops surfaces in Belgium, Poland and Russia (Rostov oblast). The maps provided are the acreages of main groups of crops per administrative or agricultural circumscriptions unit. The groups are winter, spring and root crops (sugar beet, potatoes). The method for mapping exploits the MERIS capability t...

J ‘ edrzejewicz showed that a polynomial map over a field of characteristic zero is invertible, if and only if the corresponding endomorphism maps irreducible polynomials to irreducible polynomials. Furthermore, he showed that a polynomial map over a field of characteristic zero is a Keller map, if and only if the corresponding endomorphism maps irreducible polynomials to square-free polynomial...

We consider the dynamic map labeling problem: given a set of rectangular labels on the map, the goal is to appropriately select visible ranges for all the labels such that no two consistent labels overlap at every scale and the sum of total visible ranges is maximized. We propose approximation algorithms for several variants of this problem. For the simple ARO problem, we provide a 3c log n-app...

We investigate the dynamics of the Nash better response map for a family of games with two players and two strategies. This family contains the games of Coordination, Stag Hunt and Chicken. Each map is a piecewise rational map of the unit square to itself. We describe completely the dynamics for all maps from the family. All trajectories converge to fixed points or period 2 orbits. We create to...

Current mapping algorithms using Consistent Pose Estimation (CPE) algorithms can successfully map areas of 10 square meters, using thousands of poses. However, the computation to construct the map grows as O(n log n), so larger maps get increasingly difficult to build. We present an abstraction method for postponing the growth in computation. This method solves a much smaller problem in the spa...

The pseudodeterminant pdet(M) of a square matrix is the last nonzero coefficient in its characteristic polynomial; for a nonsingular matrix, this is just the determinant. If ∂ is a symmetric or skewsymmetric matrix then pdet(∂∂t) = pdet(∂)2. Whenever ∂ is the kth boundary map of a self-dual CWcomplex X, this linear-algebraic identity implies that the torsion-weighted generating function for cel...

Schematization is a quick visualization way to convey graphics information. In cartography, graphic schematization is one aspect of map generalization. This paper analyzes and summarizes the multiple criteria for schematic maps and quantifies these constraints functionally. Based on this, schematic map cartographic generalization framework based on the regular square grid is proposed. Furthermo...

This paper presents a maximum a posteriori (MAP) equalizer for bandlimited signals on frequency selective fading channels. A key contribution is the way in which the state-space of the MAP trellis is expanded for the purpose of joint channel estimation and equalization. The fading channel is estimated by coupling minimum mean square error techniques with the expanded MAP trellis. The symbol-by-...

The map which takes a square matrix to its tropical eigenvalue-eigenvector pair is piecewise linear. We determine the cones of linearity of this map. They are simplicial but they do not form a fan. Motivated by statistical ranking, we also study the restriction of that cone decomposition to the subspace of skew-symmetric matrices.