IEEE Trans Image Process - Discretization of parametrizable signal manifolds.

Tópicos

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Resumo

Transformation-invariant analysis of signals often requires the computation of the distance from a test pattern to a transformation manifold. In particular, the estimation of the distances between a transformed query signal and several transformation manifolds representing different classes provides essential information for the classification of the signal. In many applications, the computation of the exact distance to the manifold is costly, whereas an efficient practical solution is the approximation of the manifold distance with the aid of a manifold grid. In this paper, we consider a setting with transformation manifolds of known parameterization. We first present an algorithm for the selection of samples from a single manifold that permits to minimize the average error in the manifold distance estimation. Then we propose a method for the joint discretization of multiple manifolds that represent different signal classes, where we optimize the transformation-invariant classification accuracy yielded by the discrete manifold representation. Experimental results show that sampling each manifold individually by minimizing the manifold distance estimation error outperforms baseline sampling solutions with respect to registration and classification accuracy. Performing an additional joint optimization on all samples improves the classification performance further. Moreover, given a fixed total number of samples to be selected from all manifolds, an asymmetric distribution of samples to different manifolds depending on their geometric structures may also increase the classification accuracy in comparison with the equal distribution of samples.

Resumo Limpo

transformationinvari analysi signal often requir comput distanc test pattern transform manifold particular estim distanc transform queri signal sever transform manifold repres differ class provid essenti inform classif signal mani applic comput exact distanc manifold cost wherea effici practic solut approxim manifold distanc aid manifold grid paper consid set transform manifold known parameter first present algorithm select sampl singl manifold permit minim averag error manifold distanc estim propos method joint discret multipl manifold repres differ signal class optim transformationinvari classif accuraci yield discret manifold represent experiment result show sampl manifold individu minim manifold distanc estim error outperform baselin sampl solut respect registr classif accuraci perform addit joint optim sampl improv classif perform moreov given fix total number sampl select manifold asymmetr distribut sampl differ manifold depend geometr structur may also increas classif accuraci comparison equal distribut sampl

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