19 citations · 64 across the 16 of their papers we have counts for
3 papers · 1 filter
A Posteriori Error Control for the Binary Mumford-Shah Model
Benjamin Berkels, Alexander Effland, Martin Rumpf
The binary Mumford-Shah model is a widespread tool for image segmentation and can be considered as a basic model in shape optimization with a broad range of applications in compute…
Bézier curves in the space of images
Alexander Effland, Martin Rumpf, Stefan Simon +2
Bézier curves are a widespread tool for the design of curves in Euclidian space. This paper generalizes the notion of Bézier curves to the infinite-dimensional space of images. To…
Time Discrete Geodesic Paths in the Space of Images
Benjamin Berkels, Alexander Effland, Martin Rumpf
In this paper the space of images is considered as a Riemannian manifold using the metamorphosis approach, where the underlying Riemannian metric simultaneously measures the cost o…