An Existence Result for a Discretized Constrained Gradient System of Total Variation Flow in Color Image Processing

Yoshikazu GIGA, Hirotoshi KURODA, Noriaki YAMAZAKI
2005 Interdisciplinary Information Sciences  
We consider a constrained gradient system of total variation flow. Our system is often used in color image processing to remove a noise from picture. In this paper, using abstract convergence theory of convex functions, we show the global existence of solutions to our problem with piecewise constant initial data.
doi:10.4036/iis.2005.199 fatcat:7lz22ggcefg5fft5zxdpwxgkla