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...
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. 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...