• Publications
  • Influence
Estimating Crossing Fibers: A Tensor Decomposition Approach
  • T. Schultz, H. Seidel
  • Medicine, Mathematics
  • IEEE Transactions on Visualization and Computer…
  • 1 November 2008
TLDR
We present a novel technique for extracting discrete orientations from continuous ODFs, which is based on decomposing their higher-order tensor representation into an isotropic component, several rank-1 terms, and a small residual. Expand
  • 138
  • 11
  • PDF
Multi-Diffusion-Tensor Fitting via Spherical Deconvolution: A Unifying Framework
TLDR
This paper addresses both problems by making spherical deconvolution part of the fitting process: We demonstrate a reliable approximative fit that is efficiently refined by a subsequent descent-type optimization. Expand
  • 48
  • 8
  • PDF
Superquadric Glyphs for Symmetric Second-Order Tensors
  • T. Schultz, G. Kindlmann
  • Mathematics, Medicine
  • IEEE Transactions on Visualization and Computer…
  • 1 November 2010
TLDR
Symmetric second-order tensor fields play a central role in scientific and biomedical studies as well as in image analysis and feature-extraction methods. Expand
  • 96
  • 6
  • PDF
Overview and State-of-the-Art of Uncertainty Visualization
TLDR
In this chapter, we outline sources and models of uncertainty, give an overview of the state-of-the-art, provide general guidelines, outline small exemplary applications, and finally, discuss open problems in uncertainty visualization. Expand
  • 133
  • 4
Crease Surfaces: From Theory to Extraction and Application to Diffusion Tensor MRI
TLDR
We show that Hessian degeneracies, which have been neglected in previous algorithms for crease surface extraction, have important consequences for the topology of creases. Expand
  • 56
  • 4
  • PDF
Topological Visualization of Brain Diffusion MRI Data
TLDR
We propose a novel approach that considers the asymptotic behavior of a probabilistic fiber tracking method and define analogs of the basic concepts of flow topology, like critical points, basins, and faces, with interpretations in terms of brain anatomy. Expand
  • 53
  • 3
  • PDF
Open-Box Spectral Clustering: Applications to Medical Image Analysis
  • T. Schultz, G. Kindlmann
  • Computer Science, Medicine
  • IEEE Transactions on Visualization and Computer…
  • 1 December 2013
TLDR
We propose to simplify this process via an open-box approach, in which an interactive system visualizes the involved mathematical quantities, suggests parameter values, and provides immediate feedback to support the required decisions. Expand
  • 37
  • 3
  • PDF
Learning a Reliable Estimate of the Number of Fiber Directions in Diffusion MRI
  • T. Schultz
  • Computer Science, Medicine
  • MICCAI
  • 1 October 2012
TLDR
A novel strategy to select the number of fiber directions in multi-compartment models has been presented, which explicitly aims to minimize a formal measure of error in the estimated model parameters. Expand
  • 25
  • 3
  • PDF
Shared and nonshared neural networks of cognitive and affective theory‐of‐mind: A neuroimaging study using cartoon picture stories
Theory of mind (ToM) refers to the ability to represent one's own and others' cognitive and affective mental states. Recent imaging studies have aimed to disentangle the neural networks involved inExpand
  • 49
  • 2
Glyph-Based Comparative Visualization for Diffusion Tensor Fields
TLDR
We design a new glyph to locally visualize differences between two diffusion tensors by combining juxtaposition and explicit encoding of differences. Expand
  • 41
  • 2
  • PDF
...
1
2
3
4
5
...