In medical image analysis, geometrical deformations are used to model intersubject variability. In orthopaedic applications, the geometrical variability is usually observable across anatomical scales. For instance, anatomical differences between mandible bones of different patients can be found on a coarse scale, between the entire left or right side, or on a fine scale, between teeth. Each lev...

Median Fisher Discriminator(MFD) used the class median vector is more effective than Linear discriminant analysis(LDA). However, MFD only captures global geometrical structure information of the data and ignores the geometrical structure information of local data point. In this paper, we introduce a linear approach, called Maximal Margin Local Preserving Median Fisher Discriminant Analysis (MML...

The purpose of this paper is to measure the variability of a population of white matter fiber bundles without imposing unrealistic geometrical priors. In this respect, modeling fiber bundles as currents seems particularly relevant, as it gives a metric between bundles which relies neither on point nor on fiber correspondences and which is robust to fiber interruption. First, this metric is incl...

The formulation of the cloud-radiation feedback is compounded by extreme variability of clouds over a wide range of scales. In this study, we address the problem of geometry and spatial inhomogeneity in stratiform cloud layers and its influence on cloud optical depth. The investigation is based on the Cooperative Institute for Mesoscale Meteorological Studies (CIMMS) large eddy simulation model...

In inter-subject registration, one often lacks a good model of the transformation variability to choose the optimal regularization. Some works attempt to model the variability in a statistical way, but the re-introduction in a registration algorithm is not easy. In [1], we interpreted the elastic energy as the distance of the Green-St Venant strain tensor to the identity. By changing the Euclid...

Geometrical visual illusions are an intriguing phenomenon, in which subjective perception consistently misjudges the objective, physical properties of the visual stimulus. Prominent theoretical proposals have been advanced attempting to find common mechanisms across illusions. But empirically testing the similarity between illusions has been notoriously difficult because illusions have very dif...