The image matching within the framework of large deformations via diffeomorphisms is extended to the space of bounded variation functions. Thanks to a semi-differentiation lemma, which is the central new result of this article, we derive the geodesic equations for a general penalty term and we describe the associated momentum. To cite this article: F.-X. Vialard, F. Santambrogio, C. R. Acad. Sci. Paris, Ser. I 347 (2009). © 2008 Académie des sciences.
Vialard, F. X., & Santambrogio, F. (2009). Extension to BV functions of the large deformation diffeomorphisms matching approach. Comptes Rendus Mathematique, 347(1–2), 27–32. https://doi.org/10.1016/j.crma.2008.11.019