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.
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 ...
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 ...
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 ...
Frontiers

Predicting in vivo MRI Gradient-Field Induced Voltage Levels on Implanted Deep Brain Stimulation Systems Using Neural Networks

1 Restorative Therapies Group, Implantables R&D, Medtronic PLC, Minneapolis, MN, United States 2 Cardiac Rhythm Heart Failure, Device Product Engineering, Medtronic PLC, Minneapolis, MN, United States ...