Abstract. Blurring an image with a Gaussian of width σ and considering σ as an extra dimension, extends the image to an Gaussian scale space (GSS) image. In this GSS-image the is...
The geometry of “empty” scale space is investigated. By virtue of the proposed geometric axioms the generating PDE, the linear isotropic heat equation, can be presented in cova...
In this paper, we present a novel framework to carry out computations on tensors, i.e. symmetric positive definite matrices. We endow the space of tensors with an affine-invariant...
Pierre Fillard, Vincent Arsigny, Nicholas Ayache, ...
We show that the pre-symmetry set of a smooth surface in 3-space has the structure of the graph of a function from R2 to R2 in many cases of interest, generalising known results fo...
Abstract. We present a novel approach to statistically characterize histograms of model-relative image regions. A multiscale model is used as an aperture to define image regions a...
Robert E. Broadhurst, Joshua Stough, Stephen M. Pi...
Abstract. Several image processing algorithms imitate the lateral interaction of neurons in the visual striate cortex V1 to account for the correlations along contours and lines. H...
Markus van Almsick, Remco Duits, Erik Franken, Bar...
Standard image based segmentation approaches perform poorly when there is little or no contrast along boundaries of different regions. In such cases, segmentation is largely perfor...
Kilian M. Pohl, John W. Fisher III, Ron Kikinis, W...
In this paper, we propose a new framework for active contour and surface models. Based on the concepts of the elastic interaction between line defects in solids, this framework de...
Albert C. S. Chung, Yang Xiang, Jian Ye, Max W. K....
Accurate and robust estimation of the three-dimensional left ventricular geometry and deformation has important clinical implications for better diagnosis and understanding of isch...