ScholarLens Back to search
2010•Unpublished venueRequires access

A NEW METHOD FOR ESTIMATING RATIONAL FUNCTION COEFFICIENTS

Sharifi Mohammad Ali, B Amjadiparvar, M Sheybani

Open publisher page 0 citations

Abstract

Rational functions are of great interest to engineers and geoscientists. The rational polynomial coefficient (RPC) model as a generalized sensor model has been introduced as an alternative for the rigorous sensor model of the satellite imaging. Numerical instability of normal equations is the only single obstacle to the implementation of these functions. Practically, estimating rational function coefficients using available control points is mostly an ill-posed problem. Condition number of the normal matrix in the linear parametric model is relatively large. Therefore, a

About this research paper

What this paper is about

Rational functions are of great interest to engineers and geoscientists. The rational polynomial coefficient (RPC) model as a generalized sensor model has been introduced as an alternative for the rigorous sensor model of the satellite imaging. Numerical instability of normal equations is the only single obstacle to the implementation of these functions. Practically, estimating rational function coefficients using available control points is mostly an ill-posed problem. Condition number of the normal matrix in the linear parametric model is relatively large. Therefore, a

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Rational functions are of great interest to engineers and geoscientists. The rational polynomial coefficient (RPC) model as a generalized sensor model has been introduced as an alternative for the rigorous sensor model of the satellite imaging. Numerical instability of normal equations is the only single obstacle to the implementation of these functions. Practically, estimating rational function coefficients using available control points is mostly an ill-posed problem. Condition number of the normal matrix in the linear parametric model is relatively large. Therefore, a

Key concepts: Rational function, Polynomial and rational function modeling, Applied mathematics, Polynomial, Mathematics, Parametric equation, Parametric statistics, Function (biology)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
A NEW METHOD FOR ESTIMATING RATIONAL FUNCTION COEFFICIENTS — Research Paper | ScholarLens