By Chandrajit Bajaj, Samrat Goswami (auth.), João Manuel R. S. Tavares, R. M. Natal Jorge (eds.)
The current e-book comprises prolonged types of papers provided within the overseas convention VIPIMAGE 2007 – ECCOMAS Thematic convention on Computational imaginative and prescient and scientific photograph, held in Faculdade de Engenharia da Universidade do Porto, in 17-19 of October 2007. This convention was once the 1st ECCOMAS thematic convention on computational imaginative and prescient and clinical photo processing. It covers subject matters similar with snapshot processing and research, clinical imaging and computational modeling and simulation, contemplating their multidisciplinary.
This ebook collects the state of the art study, tools and new principles almost about computational imaginative and prescient and clinical photo processing contributing for the advance of those parts of knowledge.
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Additional resources for Advances in Computational Vision and Medical Image Processing: Methods and Applications
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This section introduces some basic definitions about local metric (a tensor field) on a Riemannian manifold and the associated notion of geodesic distance and minimal paths. The important point is that the geodesic distance to a set of starting points G. D. S. N. V. 2009 29 30 G. D. Cohen satisfies a non-linear differential equation, the Eikonal equation, which is solved to compute numerically the geodesic distance. 1 Riemannian Manifold Parametric surface. A parameterized surface embedded in Euclidean space M ⊂ Rk is a mapping u ∈ D ⊂ R2 → φ (u) ∈ M.
0 γ (t)T H(γ (t))γ (t)dt. 1) and e1 , e2 are two orthogonal eigenvector fields. In fact, ei should be understood as direction (un-oriented) field since both ei and −ei are eigenvectors of the tensor. A curve γ passing at location γ (t) = x with speed γ (t) has a shorter local length if γ (t) is colinear to e1 (x) rather than any another direction. Hence shortest paths (to be defined in the next section) tend to be tangent to the direction field e1 . In practice, the Riemannian metric H is given by the problem one wishes to solve.