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RPC Correction Coefficient Extrapolation for KOMPSAT-3A Imagery in Inaccessible Regions
High-resolution pushbroom satellites routinely acquire multi-tenskilometer-scale strips whose vendors’ rational polynomial coefficients (RPCs) exhibit systematic, direction-dependent biases that accumulate downstream when ground control is sparse.
Namhoon Kim
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Attention is directed to those proper rational functions whose denominators may be expressed as the product of an Nth degree polynomial raised to the Kth power and another polynomial of degree M.
J. F. Mahoney
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Polynomial cubic splines with tension properties [PDF]
In this paper we present a new class of spline functions with tension properties. These splines are composed by polynomial cubic pieces and therefore are conformal to the standard, NURBS based CAD/CAM ...
Costantini, P. +2 more
core
Rational functions with positive coefficients, polynomials and uniform approximations [PDF]
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This thesis is divided in three main parts. In the first part we provide a theoretical method to determine the existence of the limit of a quotient of polynomial functions of three variables.
Hernández Rodas, Juan Pablo
core
Uniform approximation of rational functions by polynomials with integral coefficients
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On the Neighbourhood Polynomial
The neighbourhood polynomial of a graph is the generating function for the neighbourhood complex, which contains all subsets of vertices which have a common neighbour. We begin with some formulas for computing the neighbourhood polynomial. We then show a
Day, Dylan
core
Factoring polynomials with rational coefficients [PDF]
This paper describes a polynomial-time algorithm for the factorization of primitive polynomials \(f\in \mathbb Z[X]\) into irreducible factors. The number of bit operations used by the algorithm is \(O(n^{12} + n^9(\log \vert f\vert)^3)\), where \(n\) is the degree of \(f\) and \(\vert \sum_i a_iX^i \vert = (\sum_i a_i^2)^{1/2})\).
H W Lenstra, L Lovasz
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Polynomials with Rational Coefficients Which are Hard to Compute
SIAM Journal on Computing, 1974We present specific polynomials in \(\mathbb{C}[x]\) with algebraic or rational coefficients which are hard to compute (even though arbitrary complex numbers are allowed as inputs for the computation). Examples are: \(\sum_{\delta = 0}^d e^{2\pi i/2^\delta } x^\delta \), \(\sum_{\delta = 0}^d 2^{2^\delta } x^\delta \).
Volker Strassen
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Logic Synthesis from Polynomials with Coefficients in the Field of Rationals
2023 IEEE 53rd International Symposium on Multiple-Valued Logic (ISMVL), 2023Priyank Kalla
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