We consider the use of so-called top-points for object retrieval. These points are based on scale-space and catastrophe theory, and are invariant under gray value scaling and offse...
We face the question of how to produce a scale space of image intensities relative to a scale space of objects or other characteristic image regions filling up the image space, whe...
Stephen M. Pizer, Ja-Yeon Jeong, Robert E. Broadhu...
Abstract. In this note we study the local behavior of singularities occurring in scale space under Gaussian blurring. Based on ideas from singularity theory for vector fields this...
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...