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Mathematical Morphology - Theory and Applications: Special Issue on Advances on Discrete Geometry and Mathematical Morphology for Computer Vision

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Jean Cousty, Yukiko Kenmochi, Isabelle Sivignon and Akihiro Sugimoto


Following the workshop on Discrete Geometry and Mathematical Morphology for Computer Vision (DGMM4CV) that will be held in Taipei, Taiwan on November 24th, 2016, a special issue will be edited.

The workshop on Discrete Geometry and Mathematical Morphology for Computer Vision is firstly organized as a scientific event in order to light up and share common digital and discrete methodology in various fields and to open a new direction of mathematical morphology, discrete geometry and computer vision. The aim of this special issue is to present new advances in the fields of mathematical morphology and discrete geometry both theoretical developments and novel applications for computer vision. Not only papers presented at the workshop but also those not with emphasizing computer vision application are welcome to submit.


Discrete geometry plays a fundamental role in research fields such as image analysis, computer vision, computer graphics, pattern recognition, and shape modeling. This is because all data in the computer are unavoidably discrete. The foundation of discrete geometry comes from the necessity of the treatment of digitized models or images of objects in the 2D or 3D Euclidean space. Mathematical morphology, on the other hand, is a theory and technique for analyzing and processing geometrical structures based on set theory, lattice theory, and topology. Mathematical morphology is most commonly applied to digital images, but it can be employed as well on graphs, surface meshes, solids, and many other spatial structures.

The community of discrete geometry and that of mathematical morphology have closely communicated and mutually exchanged latest research results and ideas to stimulate and widen the communities. However, the computer vision community has less communicated with both the communities in spite that they all are working for digital images. Sharing recent findings in each community with the other communities contributes to advancing the cutting edge of researches for image analysis. There are increased demands to exchange latest results and ideas to foster these three communities together, and it is quite timely to bring them together.

Motivated by above observation, this special issue calls for papers describing latest results and new ideas in discrete geometric methods with emphasizing computer vision applications. Main topics are, but are not limited to:

* Theory:

  • Geometric descriptors
  • Object digitization
  • Geometric transformation
  • Geometric motion analysis
  • Graph-based method
  • Markov random field
  • Discrete and combinatorial optimization
  • Connected operators
  • Hierarchical analysis
  • Discrete and computational topology
  • Discrete calculus

* Applications:

  • Low-level vision, image processing
  • Denoising and filtering
  • Segmentation and grouping
  • Object detection
  • Model fitting
  • Point cloud processing
  • Image registration
  • Surface generation
  • Motion segmentation
  • Video segmentation
  • Motion tracking
  • Biomedical analysis
  • Human action recognition
  • Scene labelling and understanding
  • Medical image processing
  • Skeletonization


Before submission authors should carefully read the Instructions for Authors
All submissions to the Special Issue must be made electronically at via online submission system Editorial Manager
All manuscripts will undergo the standard peer review process. When entering your submission via online submission system please choose the option Special Issue ADGMMCV.


Submission: May, 1st, 2017
First-round review: end of June, 2017
Publication: beginning of 2018

Publication fee of all the accepted papers will be waived.

Contributors to the Topical Issue will benefit from:

  • fair and constructive peer review provided by recognized experts in the field,
  • Open Access to your article for all interested readers,
  • fast online publication of articles,
  • online submission and tracking system, 
  • no publication fees,
  • free language assistance for authors from non-English speaking regions;

We are looking forward to your submission. If you have any question, please contact us at mathm.editorial@degruyteropen.com