Banach Convolution Modules of Group Algebras on Covariant Functions of Characters of Normal Subgroups

no code implementations • 8 Mar 2021 • Arash Ghaani Farashahi

This paper investigates structure of Banach convolution modules induced by group algebras on covariant functions of characters of closed normal subgroups.

Functional Analysis 43A15, 43A20, 43A85

Harmonic Analysis of Covariant Functions of Characters of Normal Subgroups

no code implementations • 17 Feb 2021 • Arash Ghaani Farashahi

Let $G$ be a locally compact group with the group algebra $L^1(G)$ and $N$ be a closed normal subgroup of $G$.

Functional Analysis 43A15, 43A20, 43A85

Exploiting Partial Structural Symmetry For Patient-Specific Image Augmentation in Trauma Interventions

no code implementations • 9 Apr 2018 • Javad Fotouhi, Mathias Unberath, Giacomo Taylor, Arash Ghaani Farashahi, Bastian Bier, Russell H. Taylor, Greg M. Osgood, M. D., Mehran Armand, Nassir Navab

The main challenge is to automatically estimate the desired plane of symmetry within the patient's pre-operative CT. We propose to estimate this plane using a non-linear optimization strategy, by minimizing Tukey's biweight robust estimator, relying on the partial symmetry of the anatomy.

Anatomy Image Augmentation