APPLICATIONS OF THE MEAN CURVATURE FLOW ASSOCIATED TO ANISOTROPIC GENERALIZED LAGRANGE METRICS IN IMAGE PROCESSING

Facta Universitatis. Series Mathematics and Informatics

Jelena Stojanov³  Vladimir Balan⁴ 

[1] University of Novi SadSerbia;Faculty of Applied SciencesDepartment Mathematics-Informatics Univ. Politehnica of Buchares Romania;Jelena StojanovTechnical Faculty "Mihajlo Pupin"

关键词: Image processing;    Polyakov action;    Beltrami flow;    surface evolution;    Finsler structure;    Ingarden metric;    Generalized Lagrange structure;    Synge-Beil metric;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

The Geodesic Active Field (GAF) approach from image processing - whose mathematical background is the Riemannian theory of submanifolds, was recently extended by the authors to the Finslerian setting, for certain specific metrics of Randers type.      The present work studies the significantly more flexible Generalized Lagrange (GL) extension,      which allows a versatile adapting of the GAF process to Finslerian, pseudo-Finslerian and      Lagrangian structures.      The mathematically essential GAF mean curvature flow PDEs of three such GL structures      (Randers-Ingarden, Synge-Beil and proper Generalized Lagrange) are explicitly obtained,      discussed, implemented, and their corresponding feature evolution is compared with the      classic results produced by the established original Riemannian GAF model.

【 授权许可】

Unknown