Title
Extraction of Three-Dimensional Motion and Geometric Invariants from Range Dependent Signals
Abstract
The theory needed to extract three-dimensional size, shape, and motion of a rigid moving body from a series of range-only measurements is explained. For a rigid body, moving with arbitrarily complex, unknown motions, the three-dimensional size and shape of a configuration of points on the body can be calculated from the range data, without any prior knowledge of the geometry of the configuration. The calculations are possible because there exist motion-invariant functions of the range data, which uniquely determine the Euclidean geometry of the points. This theory is shown to work on synthetic range data. When the synthetic data is corrupted by noise the process is shown to still produce reasonable results.
Year
DOI
Venue
2003
10.1023/A:1022229326812
Multidim. Syst. Sign. Process.
Keywords
Field
DocType
range measurements,remote sensing,radar,ISAR,SAR,invariants,moving targets,ATR
Radar,Discrete mathematics,Mathematical analysis,Inverse synthetic aperture radar,Rigid body,Synthetic data,Invariant (mathematics),Euclidean geometry,Geometry,Mathematics
Journal
Volume
Issue
ISSN
14
1-3
1573-0824
Citations 
PageRank 
References 
8
1.07
0
Authors
3
Name
Order
Citations
PageRank
Mark A. Stuff181.07
Pedro Sanchez281.07
Martin Biancalana381.07