1. Applications of sampling Kantorovich operators to thermographic images for seismic engineering
- Author
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Cluni, F., Danilo Costarelli, Minotti, A. M., and Vinti, G.
- Subjects
FOS: Computer and information sciences ,Computer Vision and Pattern Recognition (cs.CV) ,FOS: Mathematics ,Computer Science - Computer Vision and Pattern Recognition ,41A35, 46E30, 47A58, 47B38, 94A12 ,Numerical Analysis (math.NA) ,Mathematics - Numerical Analysis - Abstract
In this paper, we present some applications of the multivariate sampling Kantorovich operators $S_w$ 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 $S_w$. 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., 16 pages, 5 figures, 2 tables
- Published
- 2014