Discrete differential geometry

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  • Bobenko, Alexander I., and Felix Günther. “Discrete Riemann Surfaces Based on Quadrilateral Cellular Decompositions.” arXiv:1511.00652 [math], November 2, 2015. http://arxiv.org/abs/1511.00652.
  • Bobenko, Alexander I., Yuri B. Suris, and Jan Techter. “On a Discretization of Confocal Quadrics.” arXiv:1511.01777 [nlin], November 5, 2015. http://arxiv.org/abs/1511.01777.
  • Knöppel, Felix, and Ulrich Pinkall. ‘Complex Line Bundles over Simplicial Complexes and Their Applications’. arXiv:1506.07853 [cs, Math], 25 June 2015. http://arxiv.org/abs/1506.07853.


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  • [{'LOWER': 'discrete'}, {'LOWER': 'differential'}, {'LEMMA': 'geometry'}]

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  1. Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact.[1]
  2. It also provides a short survey of recent developments in digital geometry processing and discrete differential geometry.[2]
  3. Acknowledgements These notes grew out of a course on discrete differential geometry (DDG) taught annually starting in 2011, rst at Caltech and now at CMU.[3]
  4. We in- troduce discrete differential geometry in the context of discrete curves and curvature (Chapter 1).[4]
  5. Part IV focuses on applications of discrete differential geometry.[5]
  6. Our work in discrete differential geometry has also been supported by the Deutsche Forschungsgemeinschaft (DFG), as well as other funding agencies.[5]
  7. The DFG Research Center MATHEON in Berlin, through its Application Area F Visualization, has supported work on the applications of discrete differential geometry.[5]
  8. Problems of discrete differential geometry also naturally appear in (and are relevant for) other areas of mathematics.[6]
  9. This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area.[7]
  10. I basically set about doing the homework from Keenan Crane's discrete differential geometry course(s).[8]
  11. See: here and pdf discrete differential geometry book for starters.[8]
  12. We consider the problem of constructing a discrete differential geometry defined on nonplanar quadrilateral meshes.[9]
  13. The lectures aimed at giving an introduction to the main ideas of (an integrable part of) discrete differential geometry.[10]
  14. Discrete differential geometry (DDG) is a new field presently emerging on the border between differential and discrete geometry.[10]

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