Scale space representations locally adapted to the geometry of base and target manifold

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Abstract

We generalize the Gaussian multi-resolution image paradigm for a Euclidean domain to general Riemannian base manifolds and also account for the codomain by considering the extension into a fibre bundle structure. We elaborate on aspects of parametrization and gauge, as these are important in practical applications. We subsequently scrutinize two examples that are of interest in bio-mathematical modeling, viz. scale space on the unit sphere, used among others for codomain regularization in the context of high angular resolution diffusion imaging (HARDI), and retino-cortical scale space, proposed as a biologically plausible model of the human visual pathway from retina to striate cortex.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages12
Publication statusPublished - 2010

Publication series

NameCASA-report
Volume1063
ISSN (Print)0926-4507

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    Florack, L. M. J. (2010). Scale space representations locally adapted to the geometry of base and target manifold. (CASA-report; Vol. 1063). Technische Universiteit Eindhoven.