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8 July 1994 Deblurring Gaussian blur
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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 32th 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.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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