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+ | ==메모== | ||
+ | * [http://euclid.colorado.edu/%7Eiveyt/BSintro.pdf http://euclid.colorado.edu/~iveyt/BSintro.pdf] | ||
+ | |||
+ | ==related items== | ||
+ | * [[Discrete conformal transform]] | ||
+ | |||
+ | |||
+ | ==articles== | ||
+ | * 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. | ||
+ | |||
+ | |||
+ | ==메타데이터== | ||
+ | ===위키데이터=== | ||
+ | * ID : [https://www.wikidata.org/wiki/Q958922 Q958922] | ||
+ | ===Spacy 패턴 목록=== | ||
+ | * [{'LOWER': 'discrete'}, {'LOWER': 'differential'}, {'LEMMA': 'geometry'}] | ||
+ | |||
+ | == 노트 == | ||
+ | |||
+ | ===말뭉치=== | ||
+ | # Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact.<ref name="ref_3fe5d594">[https://link.springer.com/book/10.1007/978-3-7643-8621-4 Discrete Differential Geometry]</ref> | ||
+ | # It also provides a short survey of recent developments in digital geometry processing and discrete differential geometry.<ref name="ref_37059fcb">[https://www.cs.cmu.edu/~kmcrane/Projects/DDG/ Discrete Differential Geometry]</ref> | ||
+ | # 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.<ref name="ref_4bd7573c">[https://www.cs.cmu.edu/~kmcrane/Projects/DDG/paper.pdf Discrete differential geometry:]</ref> | ||
+ | # We in- troduce discrete differential geometry in the context of discrete curves and curvature (Chapter 1).<ref name="ref_c199dfae">[http://geometry.caltech.edu/pubs/GSD06.pdf Discrete differential geometry:]</ref> | ||
+ | # Part IV focuses on applications of discrete differential geometry.<ref name="ref_0fcf3c73">[https://nvbogachev.netlify.app/teaching/gcs20f/Alexander_I._Bobenko.pdf Oberwolfach seminars]</ref> | ||
+ | # Our work in discrete differential geometry has also been supported by the Deutsche Forschungsgemeinschaft (DFG), as well as other funding agencies.<ref name="ref_0fcf3c73" /> | ||
+ | # The DFG Research Center MATHEON in Berlin, through its Application Area F Visualization, has supported work on the applications of discrete differential geometry.<ref name="ref_0fcf3c73" /> | ||
+ | # Problems of discrete differential geometry also naturally appear in (and are relevant for) other areas of mathematics.<ref name="ref_6631a9ec">[https://ems.press/journals/owr/articles/1194 Discrete Differential Geometry]</ref> | ||
+ | # This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area.<ref name="ref_769b6ee3">[https://www.goodreads.com/book/show/1969822.Discrete_Differential_Geometry Discrete Differential Geometry]</ref> | ||
+ | # I basically set about doing the homework from Keenan Crane's discrete differential geometry course(s).<ref name="ref_d6cd45fa">[https://github.com/LukeMcCulloch/Python-discrete-differential-geometry LukeMcCulloch/Python-discrete-differential-geometry: Discrete differential geometry in Python. Derived from CMU and Caltech Codebases and Published papers]</ref> | ||
+ | # See: here and pdf discrete differential geometry book for starters.<ref name="ref_d6cd45fa" /> | ||
+ | # We consider the problem of constructing a discrete differential geometry defined on nonplanar quadrilateral meshes.<ref name="ref_8b3d1610">[https://link.aps.org/doi/10.1103/PhysRevE.85.066708 Discrete differential geometry: The nonplanar quadrilateral mesh]</ref> | ||
+ | # The lectures aimed at giving an introduction to the main ideas of (an integrable part of) discrete differential geometry.<ref name="ref_39ddbaaf">[https://www.cambridge.org/core/books/symmetries-and-integrability-of-difference-equations/lectures-on-discrete-differential-geometry/196221C1C0DE5061038969F068D96CF4 Lectures on Discrete Differential Geometry (Chapter 10)]</ref> | ||
+ | # Discrete differential geometry (DDG) is a new field presently emerging on the border between differential and discrete geometry.<ref name="ref_39ddbaaf" /> | ||
+ | ===소스=== | ||
+ | <references /> | ||
+ | |||
+ | [[분류:integrable systems]] | ||
+ | [[분류:math and physics]] | ||
+ | [[분류:migrate]] |
2022년 9월 19일 (월) 19:59 기준 최신판
메모
articles
- 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.
메타데이터
위키데이터
- ID : Q958922
Spacy 패턴 목록
- [{'LOWER': 'discrete'}, {'LOWER': 'differential'}, {'LEMMA': 'geometry'}]
노트
말뭉치
- Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact.[1]
- It also provides a short survey of recent developments in digital geometry processing and discrete differential geometry.[2]
- 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]
- We in- troduce discrete differential geometry in the context of discrete curves and curvature (Chapter 1).[4]
- Part IV focuses on applications of discrete differential geometry.[5]
- Our work in discrete differential geometry has also been supported by the Deutsche Forschungsgemeinschaft (DFG), as well as other funding agencies.[5]
- The DFG Research Center MATHEON in Berlin, through its Application Area F Visualization, has supported work on the applications of discrete differential geometry.[5]
- Problems of discrete differential geometry also naturally appear in (and are relevant for) other areas of mathematics.[6]
- This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area.[7]
- I basically set about doing the homework from Keenan Crane's discrete differential geometry course(s).[8]
- See: here and pdf discrete differential geometry book for starters.[8]
- We consider the problem of constructing a discrete differential geometry defined on nonplanar quadrilateral meshes.[9]
- The lectures aimed at giving an introduction to the main ideas of (an integrable part of) discrete differential geometry.[10]
- Discrete differential geometry (DDG) is a new field presently emerging on the border between differential and discrete geometry.[10]
소스
- ↑ Discrete Differential Geometry
- ↑ Discrete Differential Geometry
- ↑ Discrete differential geometry:
- ↑ Discrete differential geometry:
- ↑ 이동: 5.0 5.1 5.2 Oberwolfach seminars
- ↑ Discrete Differential Geometry
- ↑ Discrete Differential Geometry
- ↑ 이동: 8.0 8.1 LukeMcCulloch/Python-discrete-differential-geometry: Discrete differential geometry in Python. Derived from CMU and Caltech Codebases and Published papers
- ↑ Discrete differential geometry: The nonplanar quadrilateral mesh
- ↑ 이동: 10.0 10.1 Lectures on Discrete Differential Geometry (Chapter 10)