Title
Moore-Penrose approach in the Hough transform framework.
Abstract
Let F(x, a) be a real polynomial in two sets of variables, x and a, that is linear with respect to one of the variable sets, say a. In this paper, we deal with two of the main steps of the Hough transform framework for the pattern recognition technique to detect loci in images. More precisely, we present an algorithmic process, based on the Moore–Penrose pseudo-inverse, to provide a region of analysis in the parameter space. In addition, we state an upper bound for the sampling distance of the discretization of the parameter space region.
Year
DOI
Venue
2020
10.1016/j.amc.2020.125083
Applied Mathematics and Computation
Keywords
Field
DocType
Multivariate polynomial,Pesudo-inverse matrix,Perturbed system,Hough transform,Parameter region detection,Parameter region discretization
Discretization,Polynomial,Upper and lower bounds,Mathematical analysis,Algorithm,Hough transform,Sampling (statistics),Parameter space,Mathematics
Journal
Volume
ISSN
Citations 
375
0096-3003
1
PageRank 
References 
Authors
0.37
0
4
Name
Order
Citations
PageRank
Mauro C. Beltrametti110.37
J. Rafael Sendra262168.33
Juana Sendra310.37
Maria-Laura Torrente410.37