Title
The use of total least squares data fitting in the shape-from-moments problem
Abstract
In this paper we discuss the problem of recovering the vertices of a planar polygon from its measured complex moments. Because the given, measured moments can be noisy, the recovered vertices are only estimates of the true ones. The literature offers many algorithms for solving such an estimation problem. We will restrict our discussion to the Total Least Squares (TLS) data fitting models HTLS and STLS and the matrix pencil method GPOF. We show the close link between the HTLS and the GPOF method. We use the HTLS method to compute starting values for the STLS method. We compare the accuracy of these three methods on simulated data.
Year
DOI
Venue
2006
10.1016/j.sigpro.2005.09.008
Signal Processing
Keywords
Field
DocType
HTLS,STLS,GPOF,Matrix pencil,Rank reduction
Least squares,Polygon,Mathematical optimization,Matrix pencil,Curve fitting,Algorithm,Matrix method,Estimation theory,Total least squares,Moment problem,Mathematics,Calculus
Journal
Volume
Issue
ISSN
86
5
0165-1684
Citations 
PageRank 
References 
4
0.67
13
Authors
4
Name
Order
Citations
PageRank
M. Schuermans181.47
Philippe Lemmerling213122.31
L. De Lathauwer332048.18
S. Van Huffel426032.75