Computer Science – Computer Vision and Pattern Recognition
Scientific paper
2011-11-05
Fract. Calc. Appl. Anal. (2012) Vol. 15 Num. 2, 332--343
Computer Science
Computer Vision and Pattern Recognition
5 pages, 3 figures, draft for proceedings IFAC FDA12 in Nanjing, China
Scientific paper
10.2478/s13540-012-0024-1
Extending the Liouville-Caputo definition of a fractional derivative to a nonlocal covariant generalization of arbitrary bound operators acting on multidimensional Riemannian spaces an appropriate approach for the 3D shape recovery of aperture afflicted 2D slide sequences is proposed. We demonstrate, that the step from a local to a nonlocal algorithm yields an order of magnitude in accuracy and by using the specific fractional approach an additional factor 2 in accuracy of the derived results.
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