@inbook{8e2981bc597d4b039416b909ac5b7b12,

title = "Scale Space Representations Locally Adapted to the Geometry of Base and Target Manifold",

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.",

author = "Luc Florack",

year = "2012",

doi = "10.1007/978-1-4471-2353-8_9",

language = "English",

isbn = "978-1-4471-2352-1",

series = "Computational Imaging and Vision",

publisher = "Springer",

pages = "159--171",

editor = "L.M.J. Florack and R. Duits and G. Jongbloed and {Lieshout, van}, M.N.M. and P.L. Davies",

booktitle = "Mathematical Methods for Signal and Image Analysis and Representation",

address = "Germany",

}