منابع مشابه
Affine projections of polynomials
An m-variate polynomial f is said to be an affine projection of some n-variate polynomial g if there exists an n×m matrix A and an n-dimensional vector b such that f(x) = g(Ax + b). In other words, if f can be obtained by replacing each variable of g by an affine combination of the variables occurring in f , then it is said to be an affine projection of g. Given f and g can we determine whether...
متن کاملAffine Projections of Symmetric Polynomials
In this paper we introduce a new model for computing polynomials a depth 2 circuit with a symmetric gate at the top and plus gates at the bottom, i.e the circuit computes a symmetric function in linear functions Sd m(`1; `2; :::; `m) (Sd m is the d’th elementary symmetric polynomial in m variables, and the `i’s are linear functions). We refer to this model as the symmetric model. This new model...
متن کاملConvex Combination of Three Affine Projections Adaptive Filters
This paper introduces an estimation scheme aimed at improving the performance of adaptive filters. The basic idea consists of a convex combination of three adaptive filters, all based on the affine projection algorithm with different numbers of normalization hyperplanes. The three filters are adjusted separately and then combined to minimize the MSE and to increase the speed of convergence of t...
متن کاملCompensation of affine deformations in fan and cone beam projections
Aims Motion or deformation of an object during the CT acquisition will produce artefacts in the reconstructions such as streaking and blurring 1 . These artefacts are the result of inconsistent information in the different projections images. This work presents a technique to transform the projections, and their projection geometry, at different time points to projections consistent with one pa...
متن کاملThe Hausdorff Dimension of the Projections of Self-affine Carpets
We study the orthogonal projections of a large class of self-affine carpets, which contains the carpets of Bedford and McMullen as special cases. Our main result is that if Λ is such a carpet, and certain natural irrationality conditions hold, then every orthogonal projection of Λ in a non-principal direction has Hausdorff dimension min(γ, 1), where γ is the Hausdorff dimension of Λ. This gener...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2004
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2004.07.001