Titlebook: Deep Structure, Singularities, and Computer Vision; First International Ole Fogh Olsen,Luc Florack,Arjan Kuijper Conference proceedings 20

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https://doi.org/10.1007/978-3-642-59828-9 generalising known results for the pre-symmetry set of a curve in the plane. We explain how this function is obtained, and illustrate with examples both on and off the diagonal. There are other cases where the pre-symmetry set is .; we mention some of these cases but leave their investigation to an

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The UK Know How Fund and SEPS Programmesinear reconstruction frameworks, follow an Euler Lagrange minimization. If the Lagrangian (prior) is a norm induced by an inner product of a Hilbert space, this Euler Lagrange minimization boils down to a simple orthogonal projection within the corresponding Hilbert space. This basic observation has

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https://doi.org/10.1057/9780230233621sors with an affine-invariant Riemannian metric, which leads to strong theoretical properties: The space of positive definite symmetric matrices is replaced by a regular and geodesically complete manifold without boundaries. Thus, tensors with non-positive eigenvalues are at an infinite distance of

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https://doi.org/10.1057/9780230233621, can be presented in covariant, or geometrical form. The postulate of a metric for scale space cannot be upheld, as it is incompatible with the generating equation. Two familiar instances of scale spaces consistent with the geometric axioms are considered by way of example, viz. classical, homogene

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