title: Evoked response denoising using nonlinear diffusion filtering of single-trial matrix representations.
abstract: Recent progress in mathematical image processing shows a remarkable success when applying numerical methods to ill-posed partial differential equations (PDE). In particular, nonlinear diffusion filtering (NDF)process is an approach that belongs to such family of differential equations. It has been successfully applied in many recent methods for image processing and computer vision areas, particularly in denoising, smoothing, segmentation, and restoration. In this paper we focus on a novel NDF application, namely denoising of single-trials of auditory brainstem responses (ABRs) and the analysis of transcranial magnetic stimulation (TMS) responses.We show that by applying NDF on a matrix-form image of single-trials, we were able to denoise the single-trials, resulting in a better extraction of information over the ongoing experiment; morphology, eg. the latency of the single-trials according to different stimuli paradigms at different stimulation intensity levels. It is concluded that NDF represents a novel and useful approach for the analysis of single-trials in brain imaging.
authors.affiliation: Computational Diagnostics and Biocybernetics Unit at Saarland University, Homburg/Saarbruecken, Germany. izadora@cdb-unit.de
authors.forename: Izadora
authors.initials: I
authors.lastname: Mustaffa
authors.forename: Carlos
authors.initials: C
authors.lastname: Trenado
authors.forename: Karsten
authors.initials: K
authors.lastname: Schwerdtfeger
authors.forename: Daniel J
authors.initials: DJ
authors.lastname: Strauss
mesh_terms: D000465:Algorithms; D016880:Anisotropy; D001921:Brain / Q000473:pathology*; D001931:Brain Mapping; D004058:Diffusion; D005071:Evoked Potentials / Q000502:physiology*; D015233:Models, Statistical; D008962:Models, Theoretical; D016011:Normal Distribution; D010363:Pattern Recognition, Automated; D015203:Reproducibility of Results; D012815:Signal Processing, Computer-Assisted; D050781:Transcranial Magnetic Stimulation / Q000379:methods