2014/11/09 by Danilo Costarellı, Costarelli, Danilo, Federico Cluni +5 · 1 citation
Computer Science · Mathematics · #41A35 #46E30 #47A58 #47B38 #94A12 #Approximation Theory and Sequence Spaces #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1411.2584
openalex publication_date 2014/11/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, we present some applications of the multivariate sampling Kantorovich operators Sw to seismic engineering. The mathematical theory of these operators, both in the space of continuous functions and in Orlicz spaces, show how it is possible to approximate/reconstruct multivariate signals, such as images. In particular, to obtain applications for thermographic images a mathematical algorithm is developed using MATLAB and matrix calculus. The setting of Orlicz spaces is important since allow us to reconstruct not necessarily continuous signals by means of Sw. The reconstruction of thermographic images of buildings by our sampling Kantorovich algorithm allow us to obtain models for the simulation of the behavior of structures under seismic action. We analyze a real world case study in term of structural analysis and we compare the behavior of the building under seismic action using various models.