Deep Signatures--Learning Invariants of Planar Curves

R Velich, R Kimmel - arXiv preprint arXiv:2202.05922, 2022 - arxiv.org
We propose a learning paradigm for numerical approximation of differential invariants of
planar curves. Deep neural-networks'(DNNs) universal approximation properties are utilized …

[HTML][HTML] Deep isometric maps

G Pai, A Bronstein, R Talmon, R Kimmel - Image and Vision Computing, 2022 - Elsevier
Isometric feature mapping is an established time-honored algorithm in manifold learning
and non-linear dimensionality reduction. Its prominence can be attributed to the output of a …

Learning Differential Invariants of Planar Curves

R Velich, R Kimmel - International Conference on Scale Space and …, 2023 - Springer
We propose a learning paradigm for the numerical approximation of differential invariants of
planar curves. Deep neural-networks'(DNNs) universal approximation properties are utilized …

On geometric invariants, learning, and recognition of shapes and forms

G Pai, M Joseph-Rivlin, R Kimmel… - Handbook of Variational …, 2020 - Springer
Extracting meaningful representations from geometric data has prime importance in the
areas of computer vision, computer graphics, and image processing. Classical approaches …

Length Learning for Planar Euclidean Curves

B Or, L Hazan - arXiv preprint arXiv:2102.01895, 2021 - arxiv.org
In this work, we used deep neural networks (DNNs) to solve a fundamental problem in
differential geometry. One can find many closed-form expressions for calculating curvature …

[PDF][PDF] LengthNet: Length Learning for Planar Euclidean Curves

P Frosini, D Giorgi, S Melzi, E Rodolà - 2021 - diglib.eg.org
In this work, we used a deep learning (DL) model to solve a fundamental problem in
differential geometry. One can find many closed-form expressions for calculating curvature …

[PDF][PDF] LengthNet: Length Learning for Planar Euclidean Curves-Preprint

B Or, I Amos - researchgate.net
In this work, we used a deep learning (DL) model to solve a fundamental problem in
differential geometry. One can find many closed-form expressions for calculating curvature …

[HTML][HTML] Deep Learning in Geometry: Arclength Learning A fundamental problem in geometry was solved using a Deep Neural Network (DNN). We learned a …

B Or - towardsdatascience.com
The calculation of curve length is one of the most major components in many modern and
classical problems. For example, a handwritten signature involves the computation of the …