We present a novel method for estimation of articulated motion in depth scans. The method is based on a framework for regularization of vectorand matrixvalued functions on parametric surfaces. We extend augmented-Lagrangian total variation regularization to smooth rigid motion cues on the scanned 3D surface obtained from a range scanner. We demonstrate the resulting smoothed motion maps to be a...

A transposable element can be defined as a DNA sequence capable of moving to new sites in the genome. Such DNA sequences have been described in a wide range of organisms. The evolutionary processes affecting transposable elements can thus be divided into two categories: changes in sequence and changes in genomic location. As with other types of evolutionary change, the nature of the evolutionar...

The fundamental result of stochastic calculus is Itô’s formula (2.1) firstly established by Itô [5] for a standard Brownian motion and then later extended to continuous semimartingales by Kunita and Watanabe [7]. [For simplicity in this article we will not consider semimartingales with jumps.] The function F appearing in Itô’s formula is C2 in the space variable, and the correction to the class...

This paper presents a numerical method for finding the solution of Plateau’s problem in parametric form. Using the properties of minimal surfaces we succeded in transfering the problem of finding the minimal surface to a problem of minimizing a functional over a class of scalar functions. A numerical method of minimizing a functional using the first variation is presented and convergence is pro...

This paper presents an abstract analysis of bounded variation (BY) methods for illposed apentor equations Au = L. Let where the penalty, or 'regularization'. parameter (I > 0 and the functional J ( u ) is the BY norm or semi-norm of U , also known 3s the total variation of U. Under mild restrictions on the operator A and the functional J ( u ) , it is shown that the functional T ( u ) has a uni...

We present a framework for analyzing the shape deformation of structures within the human brain. A mathematical model is developed describing the deformation of any brain structure whose shape is affected by both gross and detailed physical processes. Using our technique, the total shape deformation is decomposed into analytic modes of variation obtained from finite element modeling, and statis...