Publications

Entropic optimal transport paper thumbnail

Entropic Optimal Transport with Data-Driven Metrics on the Roto-Translation Group

Gautam Pai, Gijs Bellaard, Rick Sengers, Luc Florack and Remco Duits
International Conference on Scale Space and Variational Methods in Computer Vision (SSVM) 2025
Paper Preprint Poster
Crack detection paper thumbnail

Loss function inversion for improved crack segmentation in steel bridges using a CNN framework

Andrii Kompanets, Remco Duits, Gautam Pai, Davide Leonetti, and H.H. (Bert) Snijder
Automation in Construction, 2025
Paper
Optimal transport on SE2 paper thumbnail

Optimal Transport on the Lie Group of Roto-translations

Daan Bon*, Gautam Pai*, Gijs Bellaard, Olga Mula and Remco Duits  (*Equal Contribution)
SIAM Journal on Imaging Sciences (SIIMS) - 2025
Paper Arxiv Video
SE2 tracking paper thumbnail

Geodesic Tracking via New Data-driven Connections of Cartan Type for Vascular Tree Tracking

Nicky van den Berg, Bart Smets, Gautam Pai, Jean-Marie Mirebeau, and Remco Duits
Journal of Mathematical Imaging and Vision (JMIV), 2024
Paper
Functional properties of PDE-G-CNNs paper thumbnail

Functional Properties of PDE-Based Group Equivariant Convolutional Neural Networks

Gautam Pai, Gijs Bellaard, Bart M. N. Smets and Remco Duits
International Conference on Geometric Science of Information (GSI), 2023
Paper Slides Video
Analysis of (sub-) Riemannian PDE-G-CNNs paper thumbnail

Analysis of (sub-) Riemannian PDE-G-CNNs

Gijs Bellaard, Daan L. J. Bon, Gautam Pai, Bart M. N. Smets and Remco Duits
Journal of Mathematical Imaging and Vision (JMIV), 2023
Paper
Geometric Adaptations of PDE-G-CNNs paper thumbnail

Geometric Adaptations of PDE-G-CNNs

Gijs Bellaard, Gautam Pai, Javier Olivan Bescos and Remco Duits
International Conference on Scale Space and Variational Methods in Computer Vision (SSVM) 2023
Paper Poster
Implicit Field Supervision for Robust Non-Rigid Shape Matching paper thumbnail

Implicit Field Supervision for Robust Non-Rigid Shape Matching

Ramana Sundararaman, Gautam Pai, and Maks Ovsjanikov
European Conference on Computer Vision (ECCV) 2022  (oral presentation)
Paper Supplementary Code Poster
Deep Isometric Maps paper thumbnail

Deep Isometric Maps

Gautam Pai, Alex Bronstein, Ronen Talmon and Ron Kimmel
Elsevier - Image and Vision Computing 2022
Paper Code
DPFM: Deep Partial Functional Maps paper thumbnail

DPFM: Deep Partial Functional Maps

Souhaib Attaiki, Gautam Pai and Maks Ovsjanikov
International Conference on 3D Vision (3DV) 2021  (oral · Best paper award)
Paper Supplementary Code Poster Video
Fast Sinkhorn Filters paper thumbnail

Fast Sinkhorn Filters: Using Matrix Scaling for Non-Rigid Shape Correspondence with Functional Maps

Gautam Pai, Jing Ren, Simone Melzi, Peter Wonka and Maks Ovsjanikov
IEEE Conference on Computer Vision and Pattern Recognition (CVPR) 2021
Paper Supplementary Code Poster Video
Deep Eikonal Solvers paper thumbnail

Deep Eikonal Solvers

Moshe Lichtenstein, Gautam Pai, Ron Kimmel
International Conference on Scale Space and Variational Methods in Computer Vision (SSVM) 2019  (Best paper award)
Paper Slides
DIMAL: Deep Isometric Manifold Learning Using Sparse Geodesic Sampling paper thumbnail

DIMAL: Deep Isometric Manifold Learning Using Sparse Geodesic Sampling

Gautam Pai, Ronen Talmon, Alex Bronstein and Ron Kimmel
IEEE Winter Conference on Applications of Computer Vision (WACV) 2019
Paper Code Poster Slides
Sparse Approximation of 3D Meshes using the Spectral Geometry of the Hamiltonian Operator paper thumbnail

Sparse Approximation of 3D Meshes using the Spectral Geometry of the Hamiltonian Operator

Yoni Choukroun, Gautam Pai, Ron Kimmel
Journal of Mathematical Imaging and Vision (JMIV), 2018
Paper Short Version (SGP 2017) Slides
Learning invariant representations paper thumbnail

Learning Invariant Representations of Planar Curves

Gautam Pai, Aaron Wetzler, Ron Kimmel
International Conference on Learning Representations (ICLR) 2017
Paper Poster
Smoothing filters paper thumbnail

Symmetric Smoothing Filters from Global Consistency Constraints

Sk. Mohammadul Haque*, Gautam Pai*, Venu Madhav Govindu  (*Equal Contribution)
IEEE Transactions on Image Processing, 2015
Paper Project page
Neonate respiration paper thumbnail

Camera based respiration rate of neonates by modeling movement of chest and abdomen region

Vishnu Makkapati, Pujita Raman, Gautam Pai
IEEE - International Conference on Signal Processing and Communications (SPCOM) 2016
Paper

Theses

Learning for Numerical Geometry thesis thumbnail

Learning for Numerical Geometry

Gautam Pai
PhD Thesis, Faculty of Computer Science, Technion - Israel Institute of Technology, Haifa - Israel, 2019
Thesis
Using Global Consistency Constraints For De-Noising Of Natural Images thesis thumbnail

Using Global Consistency Constraints For De-Noising Of Natural Images

Gautam Pai
Masters Thesis Report, Department of Electrical Engineering, Indian Institute of Science, Bangalore - India, 2013
Thesis

Book Chapters

On Geometric Invariants, Learning, and Recognition of Shapes and Forms chapter thumbnail

On Geometric Invariants, Learning, and Recognition of Shapes and Forms

Gautam Pai, Mor Joseph-Rivlin, Ron Kimmel and Nir Sochen
Springer - Handbook of Variational Methods for Nonlinear Geometric Data - 2020
Chapter
Geometric Learning: Deep Metric Learning for Numerical Geometry chapter thumbnail

Geometric Learning: Deep Metric Learning for Numerical Geometry

Gautam Pai and Ron Kimmel
Chapter