Discrete Tomography
Consistency conditions for discrete tomography
... In this paper we restrict our attention to dimension two and global dependencies. We make results of Van Dalen and Stolk and Batenburg more explicit. In Section 2 we introduce notation and in Section 3 we summarize the ...
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Generic iterative subset algorithms for discrete tomography
... Introduction Tomography deals with the reconstruction of images from their ...of tomography is usually to reconstruct some physical object, of which projection images are acquired by a tomographic ...of ...
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Theoretical and Numerical Approaches to Co-/Sparse Recovery in Discrete Tomography
... Abstract We investigate theoretical and numerical results that guarantee the exact reconstruc- tion of piecewise constant images from insufficient projections in Discrete Tomography. This is often the case ...
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A parametric level-set method for partially discrete tomography
... In the following sections, we assume knowledge of u 1 and discuss how to for- mulate a variational problem to reconstruct Ω and u 0 based on a parametric level-set representation of Ω. The outline of the paper is as ...
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Discrete tomography by convex–concave regularization and D.C. programming
... 6. Conclusion and further work We presented a novel framework for solving combinatorial binaryreconstruction prob- lems of discrete tomography. Based on a given objective functional over binary variables ...
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Discrete Tomography in Discrete Deconvolution: Deconvolution of Binary Images Using Ryser s Algorithm
... 6 Summary and Conclusions We have proposed a new deconvolution algorithm for binary images that is built upon the theory of discrete tomography especially Ryser’s theorem. Ex- tensive numerical results have ...
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Variational Methods for Discrete Tomography
... synthetic phantoms exhibit a well-defined recovery curve similar to the study in [95, 96]. The content is structured as following: Section 3.1 characterizes the imaging scenarios considered in this chapter and ...
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Error bounds for discrete tomography
... Discrete tomography deals with tomographic reconstruction of greyscale images for which the set of possible grey levels is discrete and small [27, ...computed tomography (CT) [25, 33], which ...
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Discrete tomography with two directions
... Discrete tomografie gaat in het algemeen over het reconstrueren van plaatjes waarvan alleen maar in een aantal richtingen (bijvoorbeeld horizontaal en verticaal zoals hierboven, maar andere richtingen kunnen ook) ...
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Variations of coloring problems related to scheduling and discrete tomography
... THÈSE Nº 3968 2007 PRÉSENTÉE le 14 décembre 2007 À LA FACULTÉ DES SCIENCES DE BASE CHAIRE DE RECHERCHE OPÉRATIONNELLE SE PROGRAMME DOCTORAL EN MATHÉMATIQUES.. ÉCOLE POLYTECHNIQUE FÉDÉRAL[r] ...
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Discrete Exterior Calculus
... dual discrete divergence ...for discrete divergence is the same as that appearing in other literature such as Polthier and Preuss ...Our discrete gradient is defined using the PD-sharp for exact ...
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Spectroscopy of Discrete Breathers
... Discrete breathers can be represented in the scattering problem by a set of open and closed channels, due to time periodicity. Plane waves can freely propagate in open channels only. Closed channels become active ...
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Discrete triangulated categories
... holds by the validity of the second Brauer–Thrall conjecture; see for example [5, Ch. IV.5] and the references therein. In general, these notions are not equivalent. For example, tubes are Hom-finite hereditary abelian ...
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Discrete Structures (KSU)
... There are two primary sets of stakeholders for this proposal – the students taking the five required IT classes (both in-class and online students), and the faculty developing and teach[r] ...
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On idempotent discrete uninorms
... [4] B. De Baets and R. Mesiar. Discrete triangular norms. in Topological and Algebraic Structures in Fuzzy Sets, A Handbook of Recent Developments in the Mathematics of Fuzzy Sets, Trends in Logic, eds. S. ...
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Exercises of Discrete Mathematics
... More precisely, given a cycle, we can associate to it a unique permutation by choosing one vertex of the cycle (which we consider the first element of the permutation), and then choosing[r] ...
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Discrete Systems with Python
... • Python has powerful features for simulation of continuous differential equations and dynamic systems.. • Sometimes we want to or need to discretize a.[r] ...
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Optical coherence tomography and optical coherence tomography angiography in uveitis : a review
... coherence tomography (EDI-OCT) is a modified acquisition procedure that allows SD- OCT devices to collect images with greater details of the deeper structures, such as the choroid and the ...
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Rendezvous On A Discrete Line
... a discrete problem the players should previously agree upon an array of points, ...the discrete problem to approximate the solution of the continuous ...
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Applied Discrete Structures
... We embarked on this open-source project in 2010, twenty-one years after the publication of the 2nd edition of Applied Discrete Structures for Computer Science in 1989. We had signed a contract for the second ...
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