Area-preserving mapping of 3D ultrasound carotid artery images using density-equalizing reference map

12/09/2018
by   Gary P. T. Choi, et al.
0

Carotid atherosclerosis is a focal disease at the bifurcations of the carotid artery. To quantitatively monitor the local changes in the vessel-wall-plus-plaque thickness (VWT) and compare the VWT distributions for different patients or for the same patients at different ultrasound scanning sessions, a mapping technique is required to adjust for the geometric variability of different carotid artery models. In this work, we propose a novel method called density-equalizing reference map (DERM) for mapping 3D carotid surfaces to a standardized 2D carotid template, with an emphasis on preserving the local geometry of the carotid surface by minimizing the local area distortion. The initial map was generated by a previously described arc-length scaling (ALS) mapping method, which projects a 3D carotid surface onto a 2D non-convex L-shaped domain. A smooth and area-preserving flattened map was subsequently constructed by deforming the ALS map using the proposed algorithm that combines the density-equalizing map and the reference map techniques. This combination allows, for the first time, one-to-one mapping from a 3D surface to a standardized non-convex planar domain in an area-preserving manner. Evaluations using 20 carotid surface models show that the proposed method reduced the area distortion of the flattening maps by over 80

READ FULL TEXT

page 1

page 5

page 7

research
08/10/2023

Bijective Density-Equalizing Quasiconformal Map for Multiply-Connected Open Surfaces

This paper proposes a novel method for computing bijective density-equal...
research
09/17/2018

LMap: Shape-Preserving Local Mappings for Biomedical Visualization

Visualization of medical organs and biological structures is a challengi...
research
07/14/2018

The Normal Map Based on Area-Preserving Parameterization

In this paper, we present an approach to enhance and improve the current...
research
03/21/2020

Volumetric density-equalizing reference map with applications

The density-equalizing map, a technique developed for cartogram creation...
research
04/08/2017

Density-equalizing maps for simply-connected open surfaces

In this paper, we are concerned with the problem of creating flattening ...
research
05/06/2020

Line Artefact Quantification in Lung Ultrasound Images of COVID-19 Patients via Non-Convex Regularisation

In this paper, we present a novel method for line artefacts quantificati...

Please sign up or login with your details

Forgot password? Click here to reset