Accession Number : ADA298899

Title :   Sensitivity of Wavelet Algorithms in Signal Processing.

Descriptive Note : Semi-annual rept.,

Corporate Author : CALIFORNIA UNIV SANTA BARBARA

Personal Author(s) : Kenney, Charles S.

PDF Url : ADA298899

Report Date : 1994

Pagination or Media Count : 20

Abstract : During the second year of funding under this grant substantial progress has been made in the area of optical flow computations. Following a detailed survey of optical methods for a specially designed set of target tracking problems, a new iterative refinement procedure was developed that compensates for errors in the estimated flow velocity induced by finite difference approximations of spatial and temporal image derivatives. When coupled with a total least squares (TLS) solution scheme (as opposed to a more standard least squares method) and an aggregate velocity assignment for distant targets, this approach yields very accurate flow estimates at a fraction of the computational cost of competing methods. This approach has the pleasant feature that it admits a simple convergence analysis showing that temporal and spatial smoothing improves the iterative convergence for the special case of convective flow. This work has recently been supplemented with a "size band limited" image process- ing filter based on partial differential operators; this approach has the advantage that it is considerably simpler than a similar scheme based on morphilogical set filters. The publications list is followed by a short narrative section that describes the research that has been done so far under this grant and our plans for the coming year.

Descriptors :   *SIGNAL PROCESSING, *TRACKING, OPTICAL PROPERTIES, COMPUTATIONS, TARGETS, COSTS, FINITE DIFFERENCE THEORY, SOLUTIONS(GENERAL), FLOW RATE, APPROXIMATION(MATHEMATICS), LEAST SQUARES METHOD, PARTIAL DIFFERENTIAL EQUATIONS, CONVERGENCE, STANDARDIZATION, ALLOCATIONS, FILTERS, OPERATORS(MATHEMATICS), ITERATIONS.

Subject Categories : Target Direction, Range and Position Finding

Distribution Statement : APPROVED FOR PUBLIC RELEASE