New PDF release: Analytic number theory. Proceedings conference, Temple

By Marvin I. Knopp

ISBN-10: 3540111735

ISBN-13: 9783540111733

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Discrete and Computational Geometry 27, 273–286 (2002) 22. : Adelgazamiento de subcomplejos celulares 2D, Master thesis, Dept. A. fr Abstract. Estimating the geometry of a digital shape or contour is an important task in many image analysis applications. This paper proposes an in-depth experimental comparison between various continuous tangent estimators and a representative digital tangent estimator. The continuous estimators belong to two standard approximation methods: least square fitting and gaussian smoothing.

2) (3) A refinement of this method is the weighted least square fitting, where each sample has a variable importance in the fitting process: the heavier the weight, the more important the fit. However, it is not easy to find meaningful weights within our context. Another refinement is to use independent coordinates, that is a fit on each coordinates with respect to a given parameterization of the curve. Usually centered windows are considered: C0 is the point of interest, M = 2q + 1 is the size of the computation window going from C−q to Cq .

Figure 4 presents another example for this fact. 24 P. Wiederhold and S. Morales Fig. 4. On the triangular cell complex, left: the original object, middle: its skeleton, right: a detail of the skeleton, where a chain of the form p < q < r in the poset can be observed 8 Concluding Remarks In this paper, we give a theoretical foundation of Kovalevsky’s thinning algorithm, if it is applied to 2D binary images modelled by a quadratic, triangular, or hexagonal cell complex. We proved that local simplicity is sufficient for simplicity, and we characterized simplicity by a connectivity number which is locally computed.

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Analytic number theory. Proceedings conference, Temple Univ., Philadelphia, 1980 by Marvin I. Knopp

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