Special Issue "Discrete Differential Geometry and Its Applications to Imaging and Graphics"
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: closed (30 April 2014)
Prof. Dr. Emil Saucan
1. Department of Applied Mathematics, Ort Braude College, Karmiel 2161002, Israel
2. Electrical Engineering Department, Technion - Israel Institute of Technology, Haifa 32000, Israel
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Fax: +972 4 829 4799
Interests: discrete differential geometry; geometric modelling; geometric and topological methods for imaging and vision; manifold learning; geometric function theory; complex networks
Prof. Dr. David Gu
Department of Computer Science and Applied Mathematics & Statistics Department, Stony Brook University, Room 2425 Computer Science Building, State University of New York at Stony Brook, Stony Brook, New York 11794-4400, USA
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Fax: (631) 632-8334
Interests: computer graphics; computer vision; visualization; geometric modelling; networking
Differential Geometry—mainly of curves and surfaces—represented from the very beginning a natural and standard tool of Imaging and Graphics. However, only with the true advent of the “Digital Age”, has Discrete Differential Geometry been developed and recognized as a self-standing, active and important field of study.
Here, “discrete” means that one does not merely restrict himself only to approximations, but rather operates on a deeper level, by considering various possible discretizations of such classical notions as curvature, geodesics and connection, to mention just some of the most basic and essential ones.
The ensuing applications are manifold, and range from sampling and reconstruction to segmentation, and from smoothing and denoising to registration and modeling. Moreover, they transcend their specific boundaries (already far from narrow), and have applications in Medical Imaging, Pattern Recognition, Manifold Learning and Robotics.
It is the goal of this Special Issue to explore, through its constituting papers, this multifaceted, dynamic and ever-evolving field of study.
Dr. Emil Saucan
Dr. David Gu
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
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- discrete curvature
- triangular meshes
- image processing
- discrete geodesics
- digital geometry
- geometric flows