2012/06/19 by Van Dyke, Benjamin, Vixie, Kevin R.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.1206.4357
In this paper we show the surprising results that while the local reach of the boundary of an L1TV minimizer is bounded below by 1/lambda, the global reach can be smaller. We do this by demonstrating several example minimizing sets not equal to the union of the 1/lambda -balls they contain.