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Ellipse-preserving Hermite interpolation and subdivision
Costanza Conti, Lucia Romani, Michael Unser
We introduce a family of piecewise-exponential functions that have the Hermite interpolation property. Our design is motivated by the search for an effective scheme for the joint i…
Joint Image Reconstruction and Segmentation Using the Potts Model
Martin Storath, Andreas Weinmann, Jürgen Frikel +1
We propose a new algorithmic approach to the non-smooth and non-convex Potts problem (also called piecewise-constant Mumford-Shah problem) for inverse imaging problems. We derive a…
On the Continuity of Characteristic Functionals and Sparse Stochastic Modeling
Julien Fageot, Arash Amini, Michael Unser
The characteristic functional is the infinite-dimensional generalization of the Fourier transform for measures on function spaces. It characterizes the statistical law of the assoc…