Point clouds and meshes (triangular, quadrilateral,...) are used to
model and to represent three-dimensional objects. Obtaining suitable
mesh representations and working with them in various applications
requires geometric knowledge of surface and shape properties. Recently
deep learning methods have been developed to achieve such tasks and the
new field of geometric deep learning has emerged.

In this seminar, papers from the field of geometric deep learning are
discussed as well as papers focusing on geometric properties needed for
example in architecture or fabrication of auxetic material that gives
predefined shapes from planar sheets.
 

Selected References for the seminar:

• Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges
  Michael M. Bronstein, Joan Bruna, Taco Cohen, Petar Veličković
  https://arxiv.org/abs/2104.13478
• Extracting Triangular 3D Models, Materials, and Lighting From Images
  Jacob Munkberg, Jon Hasselgren, Tianchang Shen, Jun Gao, Wenzheng Chen, Alex Evans, Thomas Müller, Sanja Fidler
  https://arxiv.org/abs/2111.12503,
  https://nvlabs.github.io/nvdiffrec/
• Learning Direction Fields for Quad Mesh Generation
  Alexander Dielen, Isaak Lim, Max Lyon, Leif Kobbelt
  Eurographics Symposium on Geometry Processing 2021
  https://www.graphics.rwth-aachen.de/publication/03337/
• Mina Konakovic Lukovic: Turning Planar Materials Into Curved Structures
  https://www.youtube.com/watch?v=hTalw-LuzB0
• Designing asymptotic geodesic hybrid gridshells
  E. Schling, H. Wang, S. Hoyer, and H. Pottmann
  Computer Aided Design 152 (2022)
  https://www.geometrie.tuwien.ac.at/geom/ig/publications/asymgeogridshell/asymgeogridshell.pdf
• Shape-morphing mechanical metamaterials
  Caigui Jiang, Florian Rist, Hui Wang, Johannes Wallner, Helmut Pottmann
  Computer Aided Design 143 (2022)
  https://www.geometrie.tuwien.ac.at/geom/ig/publications/geommaterials/geommaterials.pdf
• Computational design and optimization of quad meshes based on diagonal meshes
  C. Jiang, C. Wang, E. Schling and H. Pottmann
  Advances in Architectural Geometry 2020
  https://www.geometrie.tuwien.ac.at/geom/ig/publications/aagdiagonalmeshes/aagdiagonalmeshes.pdf
• Smooth polyhedral surfaces
  F. Günther, C. Jiang, and H. Pottmann
  Advances in Mathematics, 363, (2020)
  http://arxiv.org/abs/1703.05318

Registration : yijun.xu@kit.edu

Please submit the following information:

• Seminar
• Name
• Matrikelnummer