6533b7d9fe1ef96bd126c0bf

RESEARCH PRODUCT

A time evolution model for total-variation based blind deconvolution

Antonio Marquina

subject

Blind deconvolutionMathematical optimizationNonlinear systemsymbols.namesakeDiffusion equationKernel (image processing)symbolsTime evolutionApplied mathematicsDirac delta functionNumerical testsMathematicsScale space

description

Departamento Matematica Aplicada, Universidad de Valencia, Burjassot 46100, Spain.We propose a time evolution model for total-variation based blind deconvolution consisting of two evolution equations evolv-ing the signal by means of a nonlinear scale space method and the kernel by using a diffusion equation starting from the zerosignal and a delta function respectively. A preliminary numerical test consisting of blind deconvolution of a noiseless blurredimage is presented.

https://doi.org/10.1002/pamm.200700032