A Level Set-Based Model for Image Segmentation under Geometric Constraints and Data Approximation-Reference-Cited by-同舟云学术

A Level Set-Based Model for Image Segmentation under Geometric Constraints and Data Approximation

Published:2023-12-22 Issue:1 Volume:10 Page:2
ISSN:2313-433X
Container-title:Journal of Imaging
language:en
Short-container-title:J. Imaging

Author:

Khayretdinova Guzel¹²,Apprato Dominique³,Gout Christian¹^ORCID

Affiliation:

1. National Institute for Applied Sciences (INSA Rouen), Laboratoire de Mathématiques de l’INSA, 76000 Rouen, France

2. Tomsk State University of Control Systems and Radioelectronics (TUSUR), Television and Control, 634050 Tomsk, Russia

3. Université de Pau et des Pays de l’Adour, LMA-UMR 5142, 64000 Pau, France

Abstract

In this paper, we propose a new model for image segmentation under geometric constraints. We define the geometric constraints and we give a minimization problem leading to a variational equation. This new model based on a minimal surface makes it possible to consider many different applications from image segmentation to data approximation.

Funder

Agence Nationale de la Recherche

France Relance and ANR

Région Normandie and ERDF

Labex AMIES

Publisher

MDPI AG

Subject

Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Computer Vision and Pattern Recognition,Radiology, Nuclear Medicine and imaging

Link

https://www.mdpi.com/2313-433X/10/1/2/pdf

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