# Download Applications of Discrete Geometry and Mathematical by Peer Stelldinger (auth.), Ullrich Köthe, Annick Montanvert, PDF

By Peer Stelldinger (auth.), Ullrich Köthe, Annick Montanvert, Pierre Soille (eds.)

This e-book constitutes the refereed lawsuits of the 1st Workshop on functions of Discrete Geometry and Mathematical Morphology, WADGMM 2010, held on the overseas convention on trend attractiveness in Istanbul, Turkey, in August 2010. The eleven revised complete papers provided have been conscientiously reviewed and chosen from 25 submissions. The publication used to be in particular designed to advertise interchange and collaboration among specialists in discrete geometry/mathematical morphology and capability clients of those equipment from different fields of photograph research and trend recognition.

**Read Online or Download Applications of Discrete Geometry and Mathematical Morphology: First International Workshop, WADGMM 2010, Istanbul, Turkey, August 22, 2010, Revised Selected Papers PDF**

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**Extra info for Applications of Discrete Geometry and Mathematical Morphology: First International Workshop, WADGMM 2010, Istanbul, Turkey, August 22, 2010, Revised Selected Papers**

**Sample text**

If the mean curvature is positive [negative] at p, then the surface is locally convex [concave] at p. – A negative Gaussian curvature at a point p implies that the principal curves lie in two diﬀerent half spaces with respect to the tangent plane, and thus p is a saddle point. , the Gaussian and the mean curvatures are null), then the surface is “inﬁnitesimally” flat at p. – If the Gaussian curvature is null and the mean curvature is positive [negative] at a point p, then the surface is ﬂat in one principal direction and convex [concave] in the other one.

7) N i i+1 u p i+2 Δ i u i u i+1 Fig. 4. Duality between distortion and concentrated curvature. Unit normal vectors to triangles incident to p generate a cone C(p). Proof. Let ui be the dihedral angle at edge pui shared by triangles Δi−1 and → Δi . Similarly, let ni be the dihedral angle at edge − ni within the cone C(p). → → n− Simple geometric considerations, imply that the angle between − ni and − i+1 is → − − − → − → given by ( ni , ni+1 ) = π − ui+1 . Conversely, vectors pui are perpendicular to → − → triangles generated by (p, − n− i−1 , ni ) of cone C(p).

C) shows the resulting noise level estimation represented by a centered box of size ν(P )+1. (b) 874 points, 445 ms (a) 544 points, 293 ms (c) 828 points, 430 ms (d) zoom on lower-right of (b) (e) zoom on upper-left part of (c). Fig. 8. Noise detection obtained on various shapes (noise level locally represented by a centered box of size ν(P ) + 1). The contour in (a) is a thresholding of the background image (Gaussian noise of variances σ = 0, 50, 100, 150 added by quadrant). (b) and (d): Experiments on a photography of a letter.