Reconstruction of target reflecting surface using differential geometry
Abstract
A procedure based on the envelope concept of differential geometry is described that permits the reconstruction of the contour of a smooth, moving, conducting target, satisfying the geometrical optics approximation. The target reflections are assumed to be specular in nature with either one reflection point or multiple resolvable reflection points. The time variation of the range to the reflection point of the target (assumed derivable from a high-resolution radar) and the general motion of the target (assumed derivable from tracking or trajectory information) are employed to reconstruct the contour of that portion of the assumed target surface that is illuminated by the radar. The reconstruction is accomplished by the simultaneous solution of two nonlinear differential equations which are derived using the envelope concept of differential geometry.
- Publication:
-
IEEE Transactions on Aerospace Electronic Systems
- Pub Date:
- November 1974
- DOI:
- Bibcode:
- 1974ITAES..10..887M
- Keywords:
-
- Differential Geometry;
- Radar Scattering;
- Radar Targets;
- Specular Reflection;
- Surface Geometry;
- Contours;
- Differential Equations;
- High Resolution;
- Optics;
- Radar Resolution;
- Radar Tracking;
- Random Noise;
- Communications and Radar