Splines in Higher Order TV Regularization

Splines play an important role as solutions of various interpolation and approximation problems that minimize special functionals in some smoothness spaces. In this paper, we show in a strictly discrete setting that splinesofdegreem-1solvealsoaminimizationproblemwithquadraticdatatermandm-thordertotalvariation(TV) regularization term. In contrast to problems with quadratic regularization terms involving m-th order derivatives, the spline knots are not known in advance but depend on the input data and the regularization parameter . More precisely, the spline knots are determined by the contact points of the m

• Type: Journal
• Year: 2006
• Where: IJCV
• Authors: Gabriele Steidl, Stephan Didas, Julia Neumann
• Keywords: IJCV 2006, Input Data, Regularization Terms, Spline Knots