Force curve segmentation by piecewise polynomial approximation: mathematical formulation and complete structure of the algorithmReportar como inadecuado




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1 CRAN - Centre de Recherche en Automatique de Nancy 2 LCPME - Laboratoire de Chimie Physique et Microbiologie pour l-Environnement 3 LEM - Laboratoire Environnement et Minéralurgie

Abstract : In this technical report, we give a detailed formulation of the force curve segmentation problem based on the fitting of the curve by a piecewise polynomial. The segmentation algorithm is a discrete search in which the unknowns are the positions Dj, j=1,

.,k of the discontinuity points. We first formulate the problem as the minimization of a least-square cost function with respect to D=D1,

.,Dk\in R^k. Then, we describe the structure of the proposed optimization algorithm including the update of the list of discontinuity positions D when their number k increases.





Autor: Charles Soussen - Junbo Duan - David Brie - Pavel Polyakov - Gregory Francius - Jérôme Duval -

Fuente: https://hal.archives-ouvertes.fr/



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