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.
|Name||Proceedings of SPIE|
|Conference||SPIE's International Symposium on Optics, Imaging, and Instrumentation|
|Period||25/07/94 → 26/07/94|
|Other||SPIE's International Symposium on Optics, Imaging, and Instrumentation|