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Fast inversion of matrices arising in image processing. (English) Zbl 0957.65019

Three dimensional reconstruction of the histological data set associated with the human brain image processing suffers from nonlinear distortions introduced by the preparation process. To correct such distortions, a method based on the formulation of the problem via nonlinear partial differential equations is discussed. A fast direct solution technique for the associated structured large systems of linear equations is presented. Real-life data is used to demonstrate the potential of the proposed technique.

MSC:

65F05 Direct numerical methods for linear systems and matrix inversion
65T50 Numerical methods for discrete and fast Fourier transforms
68U10 Computing methodologies for image processing
92C55 Biomedical imaging and signal processing
65F50 Computational methods for sparse matrices

Software:

Matlab; COCA
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