Numerical Geometry of Images by Ron Kimmel

Numerical Geometry of Images by Ron Kimmel

Author:Ron Kimmel
Language: eng
Format: epub
Publisher: Springer-Verlag Wien 2012
Published: 2015-04-17T16:00:00+00:00


The accuracy of the first-order scheme for acute triangles is of O(hmax) ≈ O(emax), while the accuracy for the obtuse case with the above construction becomes O(lmax) = O(emax/(π − θmax)). As expected, in the worst-case scenario, the scheme accuracy depends on the largest edge and the widest angle.

The construction of the virtual directional edges includes unfolding triangles for each obtuse angle until a vertex is detected in the extended splitting section. Since the number of unfolded triangles is bounded by a constant, the construction of the virtual directional edges takes O(M), and the total computational complexity is still O(Mlog M).



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