Paper Info
Title
On the Limitations of Hyperbola Fitting for Estimating the Radius of Cylindrical Targets in Nondestructive Testing and Utility Detection
Abstract
Hyperbola fitting is a mainstream interpretation technique used in ground-penetrating radar (GPR) due to its simplicity and relatively low computational requirements. Conventional hyperbola fitting is based on the assumption that the investigated medium is a homogeneous half-space, and that the target is an ideal reflector with zero radius. However, the zero-radius assumption can be easily removed by formulating the problem in a more generalized way that considers targets with arbitrary size. Such approaches were recently investigated in the literature, suggesting that hyperbola fitting can be used not only for estimating the velocity of the medium, but also for estimating the radius of subsurface cylinders, a very challenging problem with no conclusive solution to this day. In this letter, through a series of synthetic and laboratory experiments, we demonstrate that for practical GPR survey, hyperbola fitting is not suitable for simultaneously estimating both the velocity of the medium and the size of the target, due to its inherent nonuniqueness, making the results unreliable and sensitive to noise.
Year
DOI
Venue
2022
10.1109/LGRS.2022.3195947
IEEE GEOSCIENCE AND REMOTE SENSING LETTERS
Keywords
DocType
Volume
Noise level, Permittivity, Optimization, Testing, Transmitting antennas, Receiving antennas, Inspection, Concrete, ground-penetrating radar (GPR), hyperbola fitting, nondestructive testing, radius estimation, rebars, utility detection
Journal
19
ISSN
Citations 
PageRank 
1545-598X
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Iraklis Giannakis100.34
Feng Zhou200.34
Craig Warren300.68
Antonios Giannopoulos400.68