This paper presents an approach for 3D object retrieval, dedicated to partial shape retrieval in large datasets. A Bag-of-Words representation is employed, based on the extraction of 3D Harris points and on a local description involving local Fourier descriptors. By adding ∆-TSR, a triangular spatial information between words, the richness and robustness of this representation is reinforced. Th...

We present an accurate method for estimation of the affine shape of local features. The method is trained in a novel way, exploiting the recently proposed HardNet triplet loss. The loss function is driven by patch descriptor differences, avoiding problems with symmetries. Moreover, such training process does not require precisely geometrically aligned patches. The affine shape is represented in...

Let F be a non-archimedean local field, let L be the maximal unramified extension of F , and let σ be the Frobenius automorphism. Let G be a split connected reductive group over F , and let B∞ be the Bruhat-Tits building associated to G(L). Let B1 be the building associated to G(F ). Then σ acts on G(L) with fixed points G(F ). Let I be the Iwahori associated to a chamber in B1. We have the rel...

The present paper introduces a procedure to recover an inverse parametric linear or quadratic programming problem from a given polyhedral partition over which a continuous piecewise affine function is defined. The solution to the resulting parametric linear problem is exactly the initial piecewise affine function over the given original parameter space partition. We provide sufficient condition...

Suppose that to every non-degenerate simplex ∆ ⊂ Rn a ‘center’ C(∆) is assigned so that the following assumptions hold: (i) The map ∆ → C(∆) commutes with similarities and is invariant under the permutations of the vertices of the simplex; (ii) The map ∆ → Vol(∆)C(∆) is polynomial in the coordinates of the vertices of the simplex. Then C(∆) is an affine combination of the center of mass CM(∆) a...

In a related paper [2], the authors have shown that a homeomorphism which preserves convex sets, mapping an open subset of one locally convex topological vector space onto an open subset of another, is a projective map (the quotient of an affine operator by an affine functional). The establishment of this result in its full generality required a treatment of (possibly infinite dimensional) topo...

We extend a method for color weak compensation based on the criterion of preservation of subjective color differences between color normal and color weak observers presented in [2]. We introduce a new algorithm for color weak compensation using local affine maps between color spaces of color normal and color weak observers. We show how to estimate the local affine map and how to determine corre...

Let D be a bounded domain in C with ζ0 ∈ ∂D. We say that ζ0 is a substantial boundary point of D for the affine stretch x+ iy 7→ Kx+ iy, where K > 1, if for every neighbourhood U of ζ0 and for every component V of U ∩ D with ζ0 ∈ ∂V , the maximal dilatation of f is at least K for every quasiconformal map f of V such that f(x+ iy) = Kx+ iy for all x+ iy ∈ ∂V ∩ ∂D. We give here a criterion for a ...

The aim of speaker adaptation techniques is to enhance the speaker-independent acoustic models to bring their recognition accuracy as close as possible to the one obtained with speaker-dependent models. Recently, a technique based on hierarchical structure and the maximum a posteriori criterion was proposed (SMAP). In this paper, like in SMAP, we assume that the acoustic models parameters are o...

For a connected reductive group G and a finite–dimensional G–module V , we study the invariant Hilbert scheme that parameterizes closed G–stable subschemes of V affording a fixed, multiplicity–finite representation of G in their coordinate ring. We construct an action on this invariant Hilbert scheme of a maximal torus T of G, together with an open T–stable subscheme admitting a good quotient. ...