Scientific Research Publishing

Conservative Vector Fields and the Intersect Rule ()

This paper covers the concept of a conservative vector field, and its application in vector physics and Newtonian mechanics. Conservative vector fields are defined as the gradient of a scalar-valued ...
IEEE

Accelerating the Computation of 3D Gradient Vector Flow Fields

Abstract: In 3D segmentation, a deformable model can be efficiently guided by a gradient vector flow (GVF) field. The computation of a GVF field consists mainly of solving a huge discretized system of ...
GitHub

andrew-tawfeek/discrete-gradients

This repository contains SageMath worksheets implementing algorithms for discrete gradient vector fields, acyclic matchings, and their connections to spectral properties of combinatorial Laplacians.
Scientific Research Publishing

Helmholtz Decomposition of Vector Fields Using an Optimal Preconditioned Conjugate Gradient Algorithm ()

In this article, we study numerically a Helmholtz decomposition methodology, based on a formulation of the mathematical model as a saddle-point problem. We use a preconditioned conjugate gradient ...
IEEE

A method for discontinuous neurite reconstruction based on diffusion tensor, Hessian eigenvector, and diffused gradient vector fields

Abstract: An a posteriori tracing method for broken neurite reconstruction is proposed. It uses local line structure cues from three vector fields; diffusion tensor vector field, Hessian eigenvector ...
Frontiers

Perception of nonrigid structures from motion using tracking image gradient vectors

Introduction: A subset of the true optical flow can be extracted by constructing a vector field that represents image gradients and then tracking vectors in this vector field. This pseudo-flow (p-flow ...