Numerical implementation of generalized V-line transforms on 2D vector fields and their inversions

05/15/2023
by   Gaik Ambartsoumian, et al.
0

The paper discusses numerical implementations of various inversion schemes for generalized V-line transforms on vector fields introduced in [6]. It demonstrates the possibility of efficient recovery of an unknown vector field from five different types of data sets, with and without noise. We examine the performance of the proposed algorithms in a variety of setups, and illustrate our results with numerical simulations on different phantoms.

READ FULL TEXT

page 14

page 18

page 21

page 22

page 23

page 24

page 25

page 26

research
07/04/2023

Functional equivariance and modified vector fields

This paper examines functional equivariance, recently introduced by McLa...
research
07/31/2019

Fast Tensor Needlet Transforms for Tangent Vector Fields on the Sphere

This paper constructs a semi-discrete tight frame of tensor needlets ass...
research
07/06/2021

Exact Analytical Parallel Vectors

This paper demonstrates that parallel vector curves are piecewise cubic ...
research
07/06/2023

Numerical Methods with Coordinate Transforms for Efficient Brownian Dynamics Simulations

Many stochastic processes in the physical and biological sciences can be...
research
11/22/2019

Unsupervised Features Learning for Sampled Vector Fields

In this paper we introduce a new approach to computing hidden features o...
research
09/16/2022

Vector Subdivision Schemes for Arbitrary Matrix Masks

Employing a matrix mask, a vector subdivision scheme is a fast iterative...
research
10/06/2020

A Generalized Framework for Analytic Regularization of Uniform Cubic B-spline Displacement Fields

Image registration is an inherently ill-posed problem that lacks the con...

Please sign up or login with your details

Forgot password? Click here to reset