Utilization Of Fractional Brownian Motion In Constrained Least-Squares Restoration Of Medical Images

Walter S. Kuklinski

doi:10.1117/12.968651

27 June 1988 Utilization Of Fractional Brownian Motion In Constrained Least-Squares Restoration Of Medical Images

Walter S. Kuklinski

Proceedings Volume 0914, Medical Imaging II; (1988) https://doi.org/10.1117/12.968651
Event: Medical Imaging II, 1988, Newport Beach, CA, United States

Abstract

Constrained least-squares techniques have been used to produce a well known class of image restoration algorithms. These techniques typically involve minimizing a linear operator on a vector representation of an image, subject to a constraint. For cases where an equality constraint is appropriate the method of Lagrange multipliers can be used to produce a restored image. In this work a fractal textural model,fractional Brownian motion, is used to represent images of interest. Using a variance fractal dimension estimator a non-linear operator, that represents the squared difference between the fractal dimension of the restored image and an a priori value is minimized, subject to the constraint that the norm of the residual between the restored image and available measurement equal the norm of the additive noise.

Citation Download Citation

Walter S. Kuklinski "Utilization Of Fractional Brownian Motion In Constrained Least-Squares Restoration Of Medical Images", Proc. SPIE 0914, Medical Imaging II, (27 June 1988); https://doi.org/10.1117/12.968651

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