A vector spline approximation

TL;DR: This work outlines promising research directions and points out the potential of variational techniques in combination with correlation-based PIV methods, for improving the consistency of fluid flow estimation and simulation.

TL;DR: A decomposition of the smoothness constraint into two partsrelated to the divergence of the vector field and one related to the curl or vorticity is introduced, which allows one to "tune" the smootherness to the properties of the data.

TL;DR: In this article, a methodology and algorithm for generating diffeomorphisms of the sphere onto itself, given the displacements of a finite set of template landmarks, is presented, where deformation maps are constructed by integration of velocity fields that minimize a quadratic smoothness energy under the specified landmark constraints.

TL;DR: The mimetic finite difference method introduced by Hyman and Shashkov is exploited to present a framework for estimating vector fields and related scalar fields (divergence, curl) of physical interest from image sequences to provide a basis for consistent definitions of higher-order differential operators.

TL;DR: The intrinsic random functions (IRF) are a particular case of the Guelfand generalized processes with stationary increments and constitute a much wider class than the stationary RF, and are used in practical applications for representing nonstationary phenomena as discussed by the authors.

TL;DR: In this article, the fundamental system of equations governing large-scale atmospheric motions, coordinate systems, atmospheric wave motions, energetics, hyperbolic and elliptic equations, moisture modeling, solar and terrestrial radiation modeling, seasonal and climate prediction.