Mohammad Soyeb Alam, Dheeraj Kumar, Gajendra K. Vishwakarma
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A review on advances in persistent scatterer interferometry and proposing a novel method for phase optimization of distributed scatterers pixels
Spaceborne SAR Interferometry techniques namely Differential SAR Interferometry (DInSAR) and Persistent Scatterer Interferometry (PSI) are remote sensing-based techniques used to measure and monitor terrain deformations. In the present study, advances in PSI since its inception, considering three important parameters (pixel selection criteria, baseline configuration, and deformation model) is discussed in detail. Further, in view of the research heading towards the pixel selection criteria and phase optimization of Distributed Scatterers (DSs) pixels, detailed discussion is made over its advancement also. In addition, the statistical homogenous pixel (SHP) and the similar time-series interferometric phase (STIP) pixel-based PSCs selection are the latest development. In view of this, the connection and difference of major and latest SHP and STIP pixel-based PSCs selection methods in term of the mathematic model of phase optimization for conventional DS and DS with multiple scattering mechanism (DS-MSM), types of pixel selection capability, computational efficiency are characterized. Further, in this study, a novel Bayesian methodology and its details are proposed for the phase optimization of DS pixels, which will provide a much better idea of the characteristics of the parameter of interest than latest one based on complex least square mathematic model for phase optimization of DS pixels.
期刊介绍：
The aim of this journal is to promote the application of mathematics to problems from engineering and the applied sciences. It also aims to emphasize the intrinsic unity, through mathematics, of the fundamental problems of applied and engineering science. The scope of the journal includes the following:
• Mathematics: Ordinary and partial differential equations, Integral equations, Asymptotics, Variational and functional−analytic methods, Numerical analysis, Computational methods.
• Applied Fields: Continuum mechanics, Stability theory, Wave propagation, Diffusion, Heat and mass transfer, Free−boundary problems; Fluid mechanics: Aero− and hydrodynamics, Boundary layers, Shock waves, Fluid machinery, Fluid−structure interactions, Convection, Combustion, Acoustics, Multi−phase flows, Transition and turbulence, Creeping flow, Rheology, Porous−media flows, Ocean engineering, Atmospheric engineering, Non-Newtonian flows, Ship hydrodynamics; Solid mechanics: Elasticity, Classical mechanics, Nonlinear mechanics, Vibrations, Plates and shells, Fracture mechanics; Biomedical engineering, Geophysical engineering, Reaction−diffusion problems; and related areas.
The Journal also publishes occasional invited ''Perspectives'' articles by distinguished researchers reviewing and bringing their authoritative overview to recent developments in topics of current interest in their area of expertise. Authors wishing to suggest topics for such articles should contact the Editors-in-Chief directly.
Prospective authors are encouraged to consult recent issues of the journal in order to judge whether or not their manuscript is consistent with the style and content of published papers.
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