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)

Special Issue Editors

Guest Editor
Dr. Emil Saucan
Department of Mathematics, Technion-Israel, Institute of Technology, Haifa 3200, Israel
Website: http://webee.technion.ac.il/people/semil/
E-Mail: semil@ee.technion.ac.il
Phone: +972 4 829 2896
Fax: +972 4 829 4799
Interests: discrete differential geometry; geometric function theory; geometric modeling; geometric and topological methods for imaging and vision; manifold learning

Guest Editor
Prof. Dr. David Gu
Department of Computer Science, State University of New York at Stony Brook, Room 2425 Computer Science Building, State University of New York at Stony Brook, Stony Brook, New York 11794-4400, USA
Website: http://www.cs.sunysb.edu/~gu
E-Mail: gu@cs.sunysb.edu
Phone: (631) 632-1828
Fax: (631) 632-8334

Special Issue Information

Dear Colleagues,

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
Guest Editors


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. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as 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.

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

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  • discrete curvature
  • triangular meshes
  • image processing
  • graphics
  • discrete geodesics
  • digital geometry
  • geometric flows
  • smoothing
  • denoising
  • registration
  • segmentation.

Published Papers (8 papers)

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Displaying article 1-8
p. 335-341
Axioms 2014, 3(3), 335-341; doi:10.3390/axioms3030335
Received: 1 May 2014; in revised form: 12 August 2014 / Accepted: 22 August 2014 / Published: 2 September 2014
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p. 300-319
by  and
Axioms 2014, 3(3), 300-319; doi:10.3390/axioms3030300
Received: 17 October 2013; in revised form: 23 February 2014 / Accepted: 23 June 2014 / Published: 15 July 2014
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p. 280-299
by ,  and
Axioms 2014, 3(2), 280-299; doi:10.3390/axioms3020280
Received: 31 January 2014; in revised form: 11 May 2014 / Accepted: 21 May 2014 / Published: 11 June 2014
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p. 222-243
by ,  and
Axioms 2014, 3(2), 222-243; doi:10.3390/axioms3020222
Received: 11 February 2014; in revised form: 9 April 2014 / Accepted: 23 April 2014 / Published: 20 May 2014
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p. 177-201
by , , ,  and
Axioms 2014, 3(2), 177-201; doi:10.3390/axioms3020177
Received: 22 February 2014; in revised form: 25 April 2014 / Accepted: 28 April 2014 / Published: 15 May 2014
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p. 202-221
by , , , ,  and
Axioms 2014, 3(2), 202-221; doi:10.3390/axioms3020202
Received: 27 March 2014; in revised form: 28 April 2014 / Accepted: 28 April 2014 / Published: 15 May 2014
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p. 119-139
by  and
Axioms 2014, 3(1), 119-139; doi:10.3390/axioms3010119
Received: 27 January 2014; in revised form: 17 February 2014 / Accepted: 18 February 2014 / Published: 6 March 2014
Show/Hide Abstract | Cited by 1 | PDF Full-text (291 KB)
p. 70-81
Axioms 2014, 3(1), 70-81; doi:10.3390/axioms3010070
Received: 4 November 2013; in revised form: 13 February 2014 / Accepted: 14 February 2014 / Published: 24 February 2014
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Last update: 10 June 2014

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