Deblurring Gaussian blur

Bart M. ter Haar Romeny; Luc M. J. Florack; Mark de Swart; Janita Wilting; Max A. Viergever

doi:10.1117/12.179245

8 July 1994 Deblurring Gaussian blur

Bart M. ter Haar Romeny, Luc M. J. Florack, Mark de Swart, Janita Wilting, Max A. Viergever

Proceedings Volume 2299, Mathematical Methods in Medical Imaging III; (1994) https://doi.org/10.1117/12.179245
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

To enhance Gaussian blurred images the structure of Gaussian scale-space is studied in a small environment along the scale axis. A local Taylor-expansion in the negative scale-direction requires the calculation of high order derivatives with respect to scale. The generating differential equation for linear scale- space, the isotropic diffusion equation, relates these derivatives to spatial Laplaceans. The high order spatial derivatives are calculated by means of convolution with Gaussian derivative kernels, enabling well-posed differentiation. Deblurring incorporating even 32^th order spatial derivatives is accomplished successfully. A physical limit is experimentally shown for the Gaussian derivatives due to discrete raster representation and coarseness of the intensity discretization.

Citation Download Citation

Bart M. ter Haar Romeny, Luc M. J. Florack, Mark de Swart, Janita Wilting, and Max A. Viergever "Deblurring Gaussian blur", Proc. SPIE 2299, Mathematical Methods in Medical Imaging III, (8 July 1994); https://doi.org/10.1117/12.179245

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