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C09
Deep learning for shape reconstruction


Shape reconstruction is one of the fundamental problems in computer vision. It can be formulated as an inverse problem given a collection of (2D) observations. Deep neural networks excel in these kind of settings, however, they do not work well with many common 3D shape discretizations, e.g. triangular meshes. In this project we will analyze which shape representations and neural network architectures benefit from one another, and develop new algorithms that allow fast, accurate reconstructions using deep learning.

Publications+

Papers
  • Hector Andrade-Loarca, Julius Hege, Daniel Cremers, and Gitta Kutyniok.
    Neural Poisson Surface Reconstruction: Resolution-Agnostic Shape Reconstruction from Point Clouds.
    preprint, August 2023.
    arXiv:arXiv:2308.01766.
  • Héctor Andrade-Loarca, Gitta Kutyniok, Ozan Öktem, and Philipp Petersen.
    Deep microlocal reconstruction for limited-angle tomography.
    Applied and Computational Harmonic Analysis, January 2022.
    URL: https://www.sciencedirect.com/science/article/pii/S1063520321001081.

Team+

Prof. Dr. Gitta Kutyniok   +

Projects: C09
University: LMU München
E-Mail: kutyniok[at]math.lmu.de
Website: http://www.math.tu-berlin.de/?108957
University: LMU München
E-Mail: kutyniok[at]math.lmu.de

Prof. Dr. Daniel Cremers   +

Projects: C05, C09
University: TU München, Department of Computer Science, Informatik 9, 02.09.054
Address: Boltzmannstrasse 3, 85748 Garching, GERMANY
Tel: +49 89 28917755
Fax: +49 89 28917757
E-Mail: cremers[at]tum.de
Website: https://vision.in.tum.de/members/cremers

Mariia Gladkova   +

Projects: C09
University: TU München, Institute of Informatics
Address: Boltzmannstr. 3, 85748 Garching bei München, GERMANY
E-Mail: mariia.gladkova[at]tum.de

Stefan Kolek Martinez de Azagra   +

Projects: C09
University: LMU München, Department of Mathematics, B 421
Address: Theresienstraße 39, 80333 München, GERMANY
Tel: +49 89 21804474
Fax: +49 89 21804466
E-Mail: kolek[at]math.lmu.de
Website: https://www.math.lmu.de/~kolek/

Héctor Andrade Loarca   +

Projects: C09
University: LMU München, Department of Mathematics, 422
Address: Theresienstraße 39, 80333 München, GERMANY
Tel: +49 89 21804437
E-Mail: andrade[at]math.lmu.de
Website: https://www.en.math.lmu.de/personen/mitarbeiter/andrade/index.html

Tarun Yenamandra   +

Projects: C09