Resumen: Shape 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. Idioma: Inglés DOI: 10.1109/TASE.2025.3529180 Año: 2025 Publicado en: IEEE Transactions on Automation Science and Engineering (2025), [14 pp.] ISSN: 1545-5955 Financiación: info:eu-repo/grantAgreement/EUR/AEI/TED2021-130224B-I00 Financiación: info:eu-repo/grantAgreement/ES/MICINN-AEI-FEDER/PID2021-124137OB-I00 Tipo y forma: Article (Published version) Área (Departamento): Área Ingen.Sistemas y Automát. (Dpto. Informát.Ingenie.Sistms.)