Geometric and Topological Methods for Imaging, Graphics and Networks

Dear Colleagues,

While computer science is generally not associated with geometry (and even less with topology), and practitioners in the field are, as a norm, far from being geometrically inclined, the fields of imaging and graphics stand apart. Indeed, not only are geometrical and topological methods widely used, and even prevalent, in these intensively active areas of study, they represent the main core of paradigms and tools employed. In fact, one might say—only slightly exaggerating—that large tracts of imaging and practically all of the research in graphics represents nothing else but the direct application and concrete “crystallization” of many important ideas and techniques in geometry and topology.

Mindful of this essential fact, we invite our colleagues labouring in the disciplines of imaging and graphics to submit papers illustrating the multifaceted roles of geometry and topology in the present state-of-the-art research. In particular, papers are welcomed appertaining to all areas of geometry, being it differential, projective or algebraic, smooth, discrete, or digital, as well as their manifold applications to segmentation, feature extraction, texture modelling, classification, face recognition, manifold learning, and many others. In particular, articles emphasizing the role and usefulness of the notion of curvature in all its manifold incarnations are invited. Contributions involving topological tools and applications for graphics and imaging applications, involving the study of surfaces and of higher-dimensional manifolds and more generalized structures are also appreciated.

Prof. Dr. Emil Saucan
Prof. Dr. David Gu
Guest Editors

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• geometry
• topology
• imaging
• graphics
• geometric flows
• registration
• feature extraction
• image classification
• texture modelling
• segmentation
• manifold learning