Image formation of a two-dimensional input image can be quantified by imposing an image induced connection and computing the associated torsion and curvature. The latter aspects of...
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...
In the past decades linear scale-space theory was derived on the basis of various axiomatics. In this paper we revisit these axioms and show that they merely coincide with the foll...
Alfons H. Salden, Bart M. ter Haar Romeny, Max A. ...
We define mutually consistent scale-space theories for scalar and vector images. Consistency pertains to the connection between the already established scalar theory and that for ...
It is well-known that scale space theory and Tikhonov regularization are close-knit. In previous studies qualitative analogies and formal relations had already been found, but non...