000150664 001__ 150664 000150664 005__ 20250411150809.0 000150664 0247_ $$2doi$$a10.1109/TASE.2025.3529180 000150664 0248_ $$2sideral$$a142796 000150664 037__ $$aART-2025-142796 000150664 041__ $$aeng 000150664 100__ $$0(orcid)0000-0001-5663-7033$$aCuiral-Zueco, Ignacio$$uUniversidad de Zaragoza 000150664 245__ $$aTime consistent surface mapping for deformable object shape control 000150664 260__ $$c2025 000150664 5060_ $$aAccess copy available to the general public$$fUnrestricted 000150664 5203_ $$aShape control involves deforming objects to achieve a desired shape. One of the main challenges of this task is to define a suitable control reference, especially when 3D objects that lack distinctive visual texture and geometric features are involved. This paper addresses the problem of generating a suitable shape control reference using surface maps for 3D texture-less objects. The proposed surface mapping method is based on functional maps and ensures time consistency with robustness to non-isometries. Our time consistent method is validated within a shape control strategy, where local exponential stability analysis is provided. The effectiveness of the framework is illustrated through simulations and experiments. 000150664 536__ $$9info:eu-repo/grantAgreement/EUR/AEI/TED2021-130224B-I00$$9info:eu-repo/grantAgreement/ES/MICINN-AEI-FEDER/PID2021-124137OB-I00 000150664 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000150664 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000150664 700__ $$0(orcid)0000-0001-9347-5969$$aLópez-Nicolás, Gonzalo$$uUniversidad de Zaragoza 000150664 7102_ $$15007$$2520$$aUniversidad de Zaragoza$$bDpto. Informát.Ingenie.Sistms.$$cÁrea Ingen.Sistemas y Automát. 000150664 773__ $$g22 (2025), 11099-11111$$pIEEE Trans. Autom. Sci. Eng.$$tIEEE Transactions on Automation Science and Engineering$$x1545-5955 000150664 8564_ $$s2234379$$uhttps://zaguan.unizar.es/record/150664/files/texto_completo.pdf$$yVersión publicada 000150664 8564_ $$s3585276$$uhttps://zaguan.unizar.es/record/150664/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000150664 909CO $$ooai:zaguan.unizar.es:150664$$particulos$$pdriver 000150664 951__ $$a2025-04-11-15:05:16 000150664 980__ $$aARTICLE