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An accurate and efficient numerical algorithm is presented for creeping ray tracing on the arbitrarily shaped surfaces modeled by the Non-Uniform Rational B-spline (NURBS) surfaces. The main problem in calculating the UTD surface diffracted fields on NURBS surfaces is due to the difficulty in determining the geodesic paths which the creeping rays propagate along. In this paper, an efficient method is developed based on the property of geodesic to compute geodesic paths on NURBS surfaces. And the algorithm can extend the applicability of UTD for practical engineering. The validity and efficiency of the algorithm is verified by numerical results.

This work presents a new technique based on ray tracing to extract and analyze scattering centers from complex targets, which is called ray clustering. The input of this method is the target CAD model and the output is the dominant scattering centers. This method can separate the echoes from different components by clustering rays owning the different paths and establish relationship between target components and the scattering source, thus it can provide an effective approach to analyze the target characteristics. After introducing the implementation procedure of the extracting method, we present an example to demonstrate its application in characteristic analysis.