29 citations · 44 across the 9 of their papers we have counts for
9 papers
Branching exponents of synthetic vascular trees under different optimality principles
Etienne Jessen, Marc C. Steinbach, Charlotte Debbaut +1
The branching behavior of vascular trees is often characterized using Murray's law. We investigate its validity using synthetic vascular trees generated under global optimization c…
Principal Geodesic Analysis in Director-Based Dynamics of Hybrid Mechanical Systems
Cristian C. Gebhardt, Jenny Schubert, Marc C. Steinbach
In this article, we present new computational realizations of principal geodesic analysis for the unit sphere and the special orthogonal group . In particular, we addr…
Rigorous mathematical optimization of synthetic hepatic vascular trees
Etienne Jessen, Marc C. Steinbach, Charlotte Debbaut +1
In this paper, we introduce a new framework for generating synthetic vascular trees, based on rigorous model-based mathematical optimization. Our main contribution is the reformula…
SABMIS: Sparse approximation based blind multi-image steganography scheme
Rohit Agrawal, Kapil Ahuja, Marc C. Steinbach +1
We hide grayscale secret images into a grayscale cover image, which is considered to be a challenging steganography problem. Our goal is to develop a steganography scheme with enha…
Space-time formulation, discretization, and computations for phase-field fracture optimal control problems
Denis Khimin, Marc C. Steinbach, Thomas Wick
The purpose of this work is the development of space-time discretization schemes for phase-field optimal control problems. First, a time discretization of the forward problem is de…
Relations between Abs-Normal NLPs and MPCCs. Part 1: Strong Constraint Qualifications
Lisa C. Hegerhorst-Schultchen, Christian Kirches, Marc C. Steinbach
This work is part of an ongoing effort of comparing non-smooth optimization problems in abs-normal form to MPCCs. We study the general abs-normal NLP with equality and inequality c…