3D Image Reconstruction: inverse acoustic scattering
The possible use of fast calculation methods which can three-dimensionally reconstruct a distant object, either stationary or moving, using the reflected acoustic wave, is manifold. Possible uses include sonar detection and identification of enemy submarines, the ability to "see" in real time in complete darkness in murky water for either deep sea submarines for research or oil rig/exploration for submarines or divers. This research is aimed at a fully real time 3D computer reconstruction of a distant object projected on diver faceplates or submarine VR units. Preliminary research by Dr Klaus Giebermann has shown that virtually any shape object can be reconstructed through the collection of reflected data from a signal having a wavelength of the order of the size of the object itself using a limited number of observation points. References Refer to the seminal work of:
- Inverse Acoustic and Electromagnetic Scattering Theory by Colton and Kress.
- The PhD Thesis Fast Summation Methods for the Numerical Solution of Integral Equations for Scattering Problems by Dr Klaus Giebermann.
- The recent: The Linear Sampling Method for Three-Dimensional Inverse Scattering Problems by Giebermann