Using Machine Learning to Detect Rotational Symmetries from Reflectional
Symmetries in 2D Images
- URL: http://arxiv.org/abs/2201.06594v1
- Date: Mon, 17 Jan 2022 19:14:58 GMT
- Title: Using Machine Learning to Detect Rotational Symmetries from Reflectional
Symmetries in 2D Images
- Authors: Koen Ponse, Anna V. Kononova, Maria Loleyt, Bas van Stein
- Abstract summary: This paper focuses on aiding the latter by comparing different state-of-the-art automated symmetry detection algorithms.
We propose post-processing improvements to find localised symmetries in images, improve the selection of detected symmetries and identify another symmetry type (rotational)
We demonstrate and analyze the performance of the extended algorithm to detect localised symmetries and the machine learning model to classify rotational symmetries.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Automated symmetry detection is still a difficult task in 2021. However, it
has applications in computer vision, and it also plays an important part in
understanding art. This paper focuses on aiding the latter by comparing
different state-of-the-art automated symmetry detection algorithms. For one of
such algorithms aimed at reflectional symmetries, we propose post-processing
improvements to find localised symmetries in images, improve the selection of
detected symmetries and identify another symmetry type (rotational). In order
to detect rotational symmetries, we contribute a machine learning model which
detects rotational symmetries based on provided reflection symmetry axis pairs.
We demonstrate and analyze the performance of the extended algorithm to detect
localised symmetries and the machine learning model to classify rotational
symmetries.
Related papers
- Robust Symmetry Detection via Riemannian Langevin Dynamics [39.342336146118015]
We propose a novel symmetry detection method that marries classical symmetry detection techniques with recent advances in generative modeling.
Specifically, we apply Langevin dynamics to a symmetry space to enhance robustness against noise.
We provide empirical results on a variety of shapes that suggest our method is not only robust to noise, but can also identify both partial and global symmetries.
arXiv Detail & Related papers (2024-09-18T02:28:20Z) - The Empirical Impact of Neural Parameter Symmetries, or Lack Thereof [50.49582712378289]
We investigate the impact of neural parameter symmetries by introducing new neural network architectures.
We develop two methods, with some provable guarantees, of modifying standard neural networks to reduce parameter space symmetries.
Our experiments reveal several interesting observations on the empirical impact of parameter symmetries.
arXiv Detail & Related papers (2024-05-30T16:32:31Z) - Partial Symmetry Detection for 3D Geometry using Contrastive Learning
with Geodesic Point Cloud Patches [10.48309709793733]
We propose to learn rotation, reflection, translation and scale invariant local shape features for geodesic point cloud patches.
We show that our approach is able to extract multiple valid solutions for this ambiguous problem.
We incorporate the detected symmetries together with a region growing algorithm to demonstrate a downstream task.
arXiv Detail & Related papers (2023-12-13T15:48:50Z) - On discrete symmetries of robotics systems: A group-theoretic and
data-driven analysis [38.92081817503126]
We study discrete morphological symmetries of dynamical systems.
These symmetries arise from the presence of one or more planes/axis of symmetry in the system's morphology.
We exploit these symmetries using data augmentation and $G$-equivariant neural networks.
arXiv Detail & Related papers (2023-02-21T04:10:16Z) - Oracle-Preserving Latent Flows [58.720142291102135]
We develop a methodology for the simultaneous discovery of multiple nontrivial continuous symmetries across an entire labelled dataset.
The symmetry transformations and the corresponding generators are modeled with fully connected neural networks trained with a specially constructed loss function.
The two new elements in this work are the use of a reduced-dimensionality latent space and the generalization to transformations invariant with respect to high-dimensional oracles.
arXiv Detail & Related papers (2023-02-02T00:13:32Z) - Degradation-agnostic Correspondence from Resolution-asymmetric Stereo [96.03964515969652]
We study the problem of stereo matching from a pair of images with different resolutions, e.g., those acquired with a tele-wide camera system.
We propose to impose the consistency between two views in a feature space instead of the image space, named feature-metric consistency.
We find that, although a stereo matching network trained with the photometric loss is not optimal, its feature extractor can produce degradation-agnostic and matching-specific features.
arXiv Detail & Related papers (2022-04-04T12:24:34Z) - On the Importance of Asymmetry for Siamese Representation Learning [53.86929387179092]
Siamese networks are conceptually symmetric with two parallel encoders.
We study the importance of asymmetry by explicitly distinguishing the two encoders within the network.
We find the improvements from asymmetric designs generalize well to longer training schedules, multiple other frameworks and newer backbones.
arXiv Detail & Related papers (2022-04-01T17:57:24Z) - Reflection and Rotation Symmetry Detection via Equivariant Learning [40.61825212385055]
We introduce a group-equivariant convolutional network for symmetry detection, dubbed EquiSym.
We present a new dataset, DENse and DIverse symmetry (DENDI), which mitigates limitations of existing benchmarks for reflection and rotation symmetry detection.
Experiments show that our method achieves the state of the arts in symmetry detection on LDRS and DENDI datasets.
arXiv Detail & Related papers (2022-03-31T04:18:33Z) - Symmetry-Enhanced Attention Network for Acute Ischemic Infarct
Segmentation with Non-Contrast CT Images [50.55978219682419]
We propose a symmetry enhanced attention network (SEAN) for acute ischemic infarct segmentation.
Our proposed network automatically transforms an input CT image into the standard space where the brain tissue is bilaterally symmetric.
The proposed SEAN outperforms some symmetry-based state-of-the-art methods in terms of both dice coefficient and infarct localization.
arXiv Detail & Related papers (2021-10-11T07:13:26Z) - SymmetryNet: Learning to Predict Reflectional and Rotational Symmetries
of 3D Shapes from Single-View RGB-D Images [26.38270361331076]
We propose an end-to-end deep neural network which is able to predict both reflectional and rotational symmetries of 3D objects.
We also contribute a benchmark of 3D symmetry detection based on single-view RGB-D images.
arXiv Detail & Related papers (2020-08-02T14:10:09Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.