Cortex segmentation: a fast variational geometric approach

Geometric-Variational Approach for Color Image Enhancement and Segmentation

\Approximation of functionals depending on jumps by elliptic functionals via ?-convergence", Comm. \Existence theorem for a minimum problem with free discontinuity set", Arch. \Representation of colored images by manifolds embedded in higher dimensional non-Euclidean space", IEEE ICIP'98, Chicago, 1998. 10 one dimensional curves as expected. The reason is our numerical approximation for E. We u...

Modeling geometric-optical illusions: A variational approach

Visual distortions of perceived lengths, angles, or forms, are generally known as “geometric–optical illusions” (GOI). In the present paper we focus on a class of GOIs where the distortion of a straight line segment (the “target” stimulus) is induced by an array of non-intersecting curvilinear elements (“context” stimulus). Assuming local target– context interactions in a vector field represent...

Fast image registration – a variational approach

Image registration is central to many challenges in medical imaging and therefore it has a vast range of applications. The purpose of this note is to provide a unified but extremely flexible framework for image registration. This framework is based on a variational formulation of the registration problem. We discuss the framework as well as some of its most important building blocks. These incl...

Fast variational multi-view segmentation through backprojection of spatial constraints

A Variational Approach to Video Segmentation for Botanical Data

In order to engage in photosynthesis, plant leaves absorb CO2 via the opening of pores in their surfaces called stomata. Water evaporates through open stomata, however, which is a detriment to plant function. Thus a plant will seek a stomatal aperture that balances its need for CO2 with its aversion to H2O loss. In order to visualize a particular leaf’s stomatal aperture, an experimentalist inj...