Recursive Interpolation of Space-Limited Scenes.
Final rept. 16 Jun 82-15 Jun 83,
VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG DEPT OF ELECTRICAL ENGINEERING
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The problem of extrapolation of scene-limited functions was investigated with an eye towards accommodating noisy measurements, and incorporating all available a priori information. An iterative projection approach was introduced, aimed specifically at removing a priori information and constraint incompatibility due to noisy measurements. Soft frequency domain measurement constraints and soft scene domain limitation constraints were proposed, and can alleviate convergence problems that occur when the imposed information is not compatible. The soft frequency domain measurement constraint specifically allows the algorithm iterate to deviate from the noisy measurements, in recognition of the fact that the measurements were noisy, and they should therefore not be imposed as an absolute or hard constraint. The resulting alternating projection algorithm was shown to correspond to a non-expansive operator so that many solutions exist, all of which satisfy the a priori information and constraints. Author
- Theoretical Mathematics
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