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Symmetry in Shapes Theory and Practice Niloy Mitra Maksim - PowerPoint PPT Presentation

Jan 03, 2024 •538 likes •639 views

Symmetry in Shapes Theory and Practice Niloy Mitra Maksim Ovsjanikov Mark Pauly Michael Wand Duygu Ceylan Presenters Niloy Mitra University Colledge London, UK n.mitra@cs.ucl.ac.uk duygu.ceylan@gmail.com Maksim

  1. Symmetry in Shapes – Theory and Practice Niloy Mitra Maksim Ovsjanikov Mark Pauly Michael Wand Duygu Ceylan

  2. Presenters Niloy Mitra University Colledge London, UK n.mitra@cs.ucl.ac.uk duygu.ceylan@gmail.com Maksim Ovsjanikov Mark Pauly École Polytechnique LIX, EPFL Lausanne France Switzerland maks@lix.polytechnique.fr mark.pauly@epfl.ch Michael Wand Saarland University, MPI Informatik, Germany mwand@mpi-inf.mpg.de

  3. Course Webpage Course Webpage • Tutorial slides • Literature & references Linked from: • http://www.mpi-inf.mpg.de/~mwand/

  4. EG 2012 STAR Report State-of-the-Art Report from EG 2012 • Symmetry in 3D Geometry: Extraction and Applications Niloy J. Mitra, Mark Pauly, Michael Wand, Duygu Ceylan State-of-the-art Report EUROGRAPHICS 2012 • STAR Report webpage: http://vecg.cs.ucl.ac.uk/Projects/SmartGeometry/ symmetry_survey/symmetrySurvey_12.html • Journal version: http://onlinelibrary.wiley.com/doi/10.1111/ cgf.12010/abstract Provides many more details

  5. What we cover Topics • Part I: What is symmetry? • Part II: Extrinsic symmetry detection • Part III: Intrinsic symmetries • Part IV: Representations & applications • Conclusions, wrap-up

  6. Part I What is Symmetry? • Symmetry in nature • Formalization: Niloy/ Michael Symmetry groups • Symmetry is the absence of information

  7. Part II Extrinsic Symmetry Detection • Geometric matching • Types of symmetry Niloy • Stages:  Feature selection  Aggregation  Extraction • Example algorithms

  8. Part III Intrinsic Symmetry Detection • Overview: intrinsic geometry • Intrinsic symmetries, Maks specific problems • Overview of algorithms • Spectral view

  9. Part IV Representations and Applications • From pairwise matching to regularity • Representations of symmetry Michael  Pairwise equivalence  Permutation groups  Transformation groups • Applications based on this classification

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