Ballester, ColomaCaselles, VicenteGonzález Hidalgo, Manuel2021-03-252021-03-251998Ballester C, Caselles V, González M. Lower semicontinuity of the affine total variation used in image segmentation. Revista de la Unión Matemática Argentina. 1998 Jan;41(1):41-60.0041-6932http://hdl.handle.net/10230/46936We study the Affine Total Variation, a magnitude measuring the affine complexity of finite unions of continua, in particular, Jordan curves, appearing in an affine invariant analogue of Mumford-Shah energy functional used to segment images. We prove a lower semicontinuity result for the ATV functional.application/pdfengLicensed under a Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/)info:eu-repo/semantics/articleImage segmentationAfline invarianceVariational metilodContinuumHausdorff measureinfo:eu-repo/semantics/openAccess