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Topological Modeling

Special Issue Information

Dear Colleagues,

Topological Modeling is an umbrella term that covers all shape modeling approaches that includes topological modifications. Topological modeling researchers usually borrow some relatively obscure mathematical ideas and turn them into applications to design interesting shapes. Applications include but not limited to modelling orientable 2-manifold surfaces, modeling knots and links, modelling non-orientable 2-manifold surfaces, modeling Seifert Surfaces, designing regular maps, branched covering surfaces, immersions of 3-manifolds, woven and knitted objects, and origami. The subjects also include areas related to shape construction, such as paper unfolding, and physical shape constructions with developable surfaces.

Prof. Dr. Ergun Akleman
Guest Editor

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Keywords

  • Modelling orientable 2-manifold surfaces,
  • Modelling non-orientable 2-manifold surfaces,
  • Modelling knots and links,
  • Modeling and visualization of Seifert surfaces,
  • Designing regular maps,
  • Branched covering surfaces,
  • Immersions of 3-manifolds,
  • Woven and knitted objects,
  • Origami and curved origami,
  • Geometric unfolding algorithms,
  • Developable surfaces
  • Piecewise planar surfaces
  • Modeling with simplicial complexes,
  • Modeling with cellular complexes,
  • Topological graph theory applications.
  • Minimal surfaces
  • Applications of Morse theory,
  • Morse-Smale complexes,
  • Applications of Gauss-Bonnet theorem
  • D-forms and pita forms
  • Hyperbolic crochet
  • Discrete differential geometry

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Mathematics - ISSN 2227-7390
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