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Applications of sampling Kantorovich operators to thermographic images for seismic engineering
by
Vinti, Gianluca
, Costarelli, Danilo
, Minotti, Anna Maria
, Cluni, Federico
in
Algorithms
/ Aseismic buildings
/ Computer simulation
/ Continuity (mathematics)
/ Image reconstruction
/ Mathematical analysis
/ Mathematical models
/ Matrix methods
/ Operators (mathematics)
/ Sampling
/ Seismic analysis
/ Seismic engineering
/ Seismic response
/ Structural analysis
/ Thermography
2014
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Applications of sampling Kantorovich operators to thermographic images for seismic engineering
by
Vinti, Gianluca
, Costarelli, Danilo
, Minotti, Anna Maria
, Cluni, Federico
in
Algorithms
/ Aseismic buildings
/ Computer simulation
/ Continuity (mathematics)
/ Image reconstruction
/ Mathematical analysis
/ Mathematical models
/ Matrix methods
/ Operators (mathematics)
/ Sampling
/ Seismic analysis
/ Seismic engineering
/ Seismic response
/ Structural analysis
/ Thermography
2014
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Do you wish to request the book?
Applications of sampling Kantorovich operators to thermographic images for seismic engineering
by
Vinti, Gianluca
, Costarelli, Danilo
, Minotti, Anna Maria
, Cluni, Federico
in
Algorithms
/ Aseismic buildings
/ Computer simulation
/ Continuity (mathematics)
/ Image reconstruction
/ Mathematical analysis
/ Mathematical models
/ Matrix methods
/ Operators (mathematics)
/ Sampling
/ Seismic analysis
/ Seismic engineering
/ Seismic response
/ Structural analysis
/ Thermography
2014
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Applications of sampling Kantorovich operators to thermographic images for seismic engineering
Paper
Applications of sampling Kantorovich operators to thermographic images for seismic engineering
2014
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Overview
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.
Publisher
Cornell University Library, arXiv.org
Subject
/ Sampling
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