13 citations · 35 across the 13 of their papers we have counts for
15 papers
An Approach to Colour Morphological Supremum Formation using the LogSumExp Approximation
Marvin Kahra, Michael Breuß, Andreas Kleefeld +1
Mathematical morphology is a part of image processing that has proven to be fruitful for numerous applications. Two main operations in mathematical morphology are dilation and eros…
Tackling the Class Imbalance Problem of Deep Learning Based Head and Neck Organ Segmentation
Elias Tappeiner, Martin Welk, Rainer Schubert
The segmentation of organs at risk (OAR) is a required precondition for the cancer treatment with image guided radiation therapy. The automation of the segmentation task is therefo…
PDE Evolutions for M-Smoothers in One, Two, and Three Dimensions
Martin Welk, Joachim Weickert
Local M-smoothers are interesting and important signal and image processing techniques with many connections to other methods. In our paper we derive a family of partial differenti…
Multivariate Medians for Image and Shape Analysis
Martin Welk
Having been studied since long by statisticians, multivariate median concepts found their way into the image processing literature in the course of the last decades, being used to…
Stable Backward Diffusion Models that Minimise Convex Energies
Leif Bergerhoff, Marcelo Cárdenas, Joachim Weickert +1
The inverse problem of backward diffusion is known to be ill-posed and highly unstable. Backward diffusion processes appear naturally in image enhancement and deblurring applicatio…
Graph entropies in texture segmentation of images
Martin Welk
We study the applicability of a set of texture descriptors introduced in recent work by the author to texture-based segmentation of images. The texture descriptors under investigat…