Oriented Response Networks
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Abstract (arXiv)
Deep Convolution Neural Networks (DCNNs) are capable of learning unprecedentedly effective image representations. However, their ability in handling significant local and global image rotations remains limited. In this paper, we propose Active Rotating Filters (ARFs) that actively rotate during convolution and produce feature maps with location and orientation explicitly encoded. An ARF acts as a virtual filter bank containing the filter itself and its multiple unmaterialised rotated versions. During back-propagation, an ARF is collectively updated using errors from all its rotated versions. DCNNs using ARFs, referred to as Oriented Response Networks (ORNs), can produce within-class rotation-invariant deep features while maintaining inter-class discrimination for classification tasks. The oriented response produced by ORNs can also be used for image and object orientation estimation tasks. Over multiple state-of-the-art DCNN architectures, such as VGG, ResNet, and STN, we consistently observe that replacing regular filters with the proposed ARFs leads to significant reduction in the number of network parameters and improvement in classification performance. We report the best results on several commonly used benchmarks.
Key facts. Cited by 67 papers in the map (data through 7 Oct 2026). First posted on arXiv 7 Jan 2017.
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Citing papers per year: 2021: 21; 2022: 14; 2023: 14; 2024: 5; 2025: 9; 2026: 4.
67 papers.
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- 2021Object Detection in Aerial Images: A Large-Scale Benchmark and Challengescited by 202
- 2021ReDet: A Rotation-equivariant Detector for Aerial Object Detectioncited by 202
- 2021Residual Pathway Priors for Soft Equivariance Constraintscited by 74
- 2022The Lie Derivative for Measuring Learned Equivariancecited by 51
- 2021Deep Learning for UAV-based Object Detection and Tracking: A Surveycited by 33
- 2021CFC-Net: A Critical Feature Capturing Network for Arbitrary-Oriented Object Detection in Remote Sensing Imagescited by 29
- 2022Sample Efficiency of Data Augmentation Consistency Regularizationcited by 28
- 2023E(2)-Equivariant Vision Transformercited by 27
- 2021Fourier Series Expansion Based Filter Parametrization for Equivariant Convolutionscited by 26
- 2022Self-Supervised Equivariant Learning for Oriented Keypoint Detectioncited by 26
- 2022On the Strong Correlation Between Model Invariance and Generalizationcited by 23
- 2023Learning Rotation-Equivariant Features for Visual Correspondencecited by 23
38 more
- 2022RIC-CNN: Rotation-Invariant Coordinate Convolutional Neural Networkcited by 20
- 2023From Bricks to Bridges: Product of Invariances to Enhance Latent Space Communicationcited by 20
- 2021Scale-invariant scale-channel networks: Deep networks that generalise to previously unseen scalescited by 17
- 2023Rotation Equivariant Proximal Operator for Deep Unfolding Methods in Image Restorationcited by 17
- 2023Revisiting Data Augmentation for Rotational Invariance in Convolutional Neural Networkscited by 16
- 2022Learning Instance-Specific Augmentations by Capturing Local Invariancescited by 15
- 2023Spatial Transform Decoupling for Oriented Object Detectioncited by 12
- 2021Arbitrary-Oriented Ship Detection through Center-Head Point Extractioncited by 9
- 2021Deformation Robust Roto-Scale-Translation Equivariant CNNscited by 7
- 2023Oriented object detection in optical remote sensing images using deep learning: a surveycited by 7
- 2021Sampling Equivariant Self-attention Networks for Object Detection in Aerial Imagescited by 6
- 2022PriorLane: A Prior Knowledge Enhanced Lane Detection Approach Based on Transformercited by 6
- 2025Rotation-Equivariant Self-Supervised Method in Image Denoisingcited by 6
- 2021Plot2Spectra: an Automatic Spectra Extraction Toolcited by 5
- 2025A Regularization-Guided Equivariant Approach for Image Restorationcited by 5
- 2025Rotation Equivariant Arbitrary-scale Image Super-Resolutioncited by 5
- 2021Adjoint Rigid Transform Network: Task-conditioned Alignment of 3D Shapescited by 4
- 2021DAFNe: A One-Stage Anchor-Free Approach for Oriented Object Detectioncited by 4
- 2022PDO-s3DCNNs: Partial Differential Operator Based Steerable 3D CNNscited by 4
- 2023Empowering Networks With Scale and Rotation Equivariance Using A Similarity Convolutioncited by 4
- 2023SparseSwin: Swin Transformer with Sparse Transformer Blockcited by 4
- 2025Spectral State Space Model for Rotation-Invariant Visual Representation Learningcited by 4
- 2022Rotationally Equivariant Super-Resolution of Velocity Fields in Two-Dimensional Fluids Using Convolutional Neural Networkscited by 3
- 2023Linear Gaussian Bounding Box Representation and Ring-Shaped Rotated Convolution for Oriented Object Detectioncited by 3
- 2021The Devils in the Point Clouds: Studying the Robustness of Point Cloud Convolutionscited by 2
- 2023TpopT: Efficient Trainable Template Optimization on Low-Dimensional Manifoldscited by 2
- 2024Current Symmetry Group Equivariant Convolution Frameworks for Representation Learningcited by 2
- 2025SRE-Conv: Symmetric Rotation Equivariant Convolution for Biomedical Image Classificationcited by 2
- 2021Rotation invariant CNN using scattering transform for image classificationcited by 1
- 2021FILTRA: Rethinking Steerable CNN by Filter Transformcited by 1
- 2021Rotating spiders and reflecting dogs: a class conditional approach to learning data augmentation distributionscited by 1
- 2022RRL:Regional Rotation Layer in Convolutional Neural Networkscited by 1
- 2022Confidence Dimension for Deep Learning based on Hoeffding Inequality and Relative Evaluationcited by 1
- 2024Achieving Rotation-Invariant Convolution via Non-Learnable Orientation Alignment Operatorscited by 1
- 2025GMR-Conv: An Efficient Rotation and Reflection Equivariant Convolution Kernel Using Gaussian Mixture Ringscited by 1
- 2025Quaternion Approximation Networks for Enhanced Image Classification and Oriented Object Detectioncited by 1
- 2026Rotation Equivariant Mamba for Vision Taskscited by 1
- 2026Image-to-Image Translation Framework Embedded with Rotation Symmetry Priorscited by 1
50 most cited of 67 All 67 (JSON)
- 2026WGDnet: Wishart-guided Geometric-aware Deep Network for PolSAR Image Classification26 Jul 2026
- 2026Image-to-Image Translation Framework Embedded with Rotation Symmetry Priors14 Apr 2026
- 2026Rotation Equivariant Mamba for Vision Tasks10 Mar 2026
- 2026Computing a Characteristic Orientation for Rotation-Independent Image Analysis24 Feb 2026
- 2025Accelerated Rotation-Invariant Convolution for UAV Image Segmentation9 Dec 2025
- 2025Quaternion Approximation Networks for Enhanced Image Classification and Oriented Object Detection5 Sep 2025
- 2025Rotation Equivariant Arbitrary-scale Image Super-Resolution7 Aug 2025
- 2025A Regularization-Guided Equivariant Approach for Image Restoration26 May 2025
- 2025Rotation-Equivariant Self-Supervised Method in Image Denoising26 May 2025
- 2025Equivariant Imaging Biomarkers for Robust Unsupervised Segmentation of Histopathology8 May 2025
- 2025GMR-Conv: An Efficient Rotation and Reflection Equivariant Convolution Kernel Using Gaussian Mixture Rings3 Apr 2025
- 2025Spectral State Space Model for Rotation-Invariant Visual Representation Learning9 Mar 2025
38 more
- 2025SRE-Conv: Symmetric Rotation Equivariant Convolution for Biomedical Image Classification16 Jan 2025
- 2024Current Symmetry Group Equivariant Convolution Frameworks for Representation Learning11 Sep 2024
- 2024Analytic Convolutional Layer: A Step to Analytic Neural Network3 Jul 2024
- 2024Achieving Rotation-Invariant Convolution via Non-Learnable Orientation Alignment Operators17 Apr 2024
- 2024Deep Learning for Segmentation of Cracks in High-Resolution Images of Steel Bridges26 Mar 2024
- 2024Few-shot Oriented Object Detection with Memorable Contrastive Learning in Remote Sensing Images20 Mar 2024
- 2023Rotation Equivariant Proximal Operator for Deep Unfolding Methods in Image Restoration25 Dec 2023
- 2023Affine Invariance in Continuous-Domain Convolutional Neural Networks13 Nov 2023
- 2023Linear Gaussian Bounding Box Representation and Ring-Shaped Rotated Convolution for Oriented Object Detection9 Nov 2023
- 2023TpopT: Efficient Trainable Template Optimization on Low-Dimensional Manifolds16 Oct 2023
- 2023Revisiting Data Augmentation for Rotational Invariance in Convolutional Neural Networks12 Oct 2023
- 2023From Bricks to Bridges: Product of Invariances to Enhance Latent Space Communication2 Oct 2023
- 2023SparseSwin: Swin Transformer with Sparse Transformer Block11 Sep 2023
- 2023Spatial Transform Decoupling for Oriented Object Detection21 Aug 2023
- 2023E(2)-Equivariant Vision Transformer11 Jun 2023
- 2023Sorted Convolutional Network for Achieving Continuous Rotational Invariance23 May 2023
- 2023Learning Rotation-Equivariant Features for Visual Correspondence25 Mar 2023
- 2023Empowering Networks With Scale and Rotation Equivariance Using A Similarity Convolution1 Mar 2023
- 2023Oriented object detection in optical remote sensing images using deep learning: a survey21 Feb 2023
- 2023GoogLe2Net: Going Transverse with Convolutions1 Jan 2023
- 2022RIC-CNN: Rotation-Invariant Coordinate Convolutional Neural Network21 Nov 2022
- 2022Symmetry Defense Against CNN Adversarial Perturbation Attacks8 Oct 2022
- 2022The Lie Derivative for Measuring Learned Equivariance6 Oct 2022
- 2022PriorLane: A Prior Knowledge Enhanced Lane Detection Approach Based on Transformer15 Sep 2022
- 2022PDO-s3DCNNs: Partial Differential Operator Based Steerable 3D CNNs7 Aug 2022
- 2022A Rotation Meanout Network with Invariance for Dermoscopy Image Classification and Retrieval1 Aug 2022
- 2022On the Strong Correlation Between Model Invariance and Generalization14 Jul 2022
- 2022Learning Instance-Specific Augmentations by Capturing Local Invariances31 May 2022
- 2022Self-Supervised Equivariant Learning for Oriented Keypoint Detection19 Apr 2022
- 2022Confidence Dimension for Deep Learning based on Hoeffding Inequality and Relative Evaluation17 Mar 2022
- 2022RRL:Regional Rotation Layer in Convolutional Neural Networks25 Feb 2022
- 2022Sample Efficiency of Data Augmentation Consistency Regularization24 Feb 2022
- 2022Rotationally Equivariant Super-Resolution of Velocity Fields in Two-Dimensional Fluids Using Convolutional Neural Networks22 Feb 2022
- 2022OneDConv: Generalized Convolution For Transform-Invariant Representation15 Jan 2022
- 2021Orientation Aware Weapons Detection In Visual Data : A Benchmark Dataset4 Dec 2021
- 2021Residual Pathway Priors for Soft Equivariance Constraints2 Dec 2021
- 2021Deformation Robust Roto-Scale-Translation Equivariant CNNs22 Nov 2021
- 2021Sampling Equivariant Self-attention Networks for Object Detection in Aerial Images5 Nov 2021
50 newest of 67 All 67 (JSON)
- 2026Rotation Equivariant Mamba for Vision Taskscited by 1
- 2026Rotation Equivariant Mamba for Vision Tasks10 Mar 2026
- 2021Object Detection in Aerial Images: A Large-Scale Benchmark and Challengescited by 202
- 2021ReDet: A Rotation-equivariant Detector for Aerial Object Detectioncited by 202
- 2021Residual Pathway Priors for Soft Equivariance Constraintscited by 74
- 2022The Lie Derivative for Measuring Learned Equivariancecited by 51
- 2021Deep Learning for UAV-based Object Detection and Tracking: A Surveycited by 33
- 2021CFC-Net: A Critical Feature Capturing Network for Arbitrary-Oriented Object Detection in Remote Sensing Imagescited by 29
- 2022Sample Efficiency of Data Augmentation Consistency Regularizationcited by 28
- 2023E(2)-Equivariant Vision Transformercited by 27
- 2021Fourier Series Expansion Based Filter Parametrization for Equivariant Convolutionscited by 26
- 2022Self-Supervised Equivariant Learning for Oriented Keypoint Detectioncited by 26
- 2022On the Strong Correlation Between Model Invariance and Generalizationcited by 23
- 2023Learning Rotation-Equivariant Features for Visual Correspondencecited by 23
12 most cited of 66 All 66 (JSON)
- 2026WGDnet: Wishart-guided Geometric-aware Deep Network for PolSAR Image Classification26 Jul 2026
- 2026Image-to-Image Translation Framework Embedded with Rotation Symmetry Priors14 Apr 2026
- 2026Computing a Characteristic Orientation for Rotation-Independent Image Analysis24 Feb 2026
- 2025Accelerated Rotation-Invariant Convolution for UAV Image Segmentation9 Dec 2025
- 2025Quaternion Approximation Networks for Enhanced Image Classification and Oriented Object Detection5 Sep 2025
- 2025Rotation Equivariant Arbitrary-scale Image Super-Resolution7 Aug 2025
- 2025A Regularization-Guided Equivariant Approach for Image Restoration26 May 2025
- 2025Rotation-Equivariant Self-Supervised Method in Image Denoising26 May 2025
- 2025Equivariant Imaging Biomarkers for Robust Unsupervised Segmentation of Histopathology8 May 2025
- 2025GMR-Conv: An Efficient Rotation and Reflection Equivariant Convolution Kernel Using Gaussian Mixture Rings3 Apr 2025
- 2025Spectral State Space Model for Rotation-Invariant Visual Representation Learning9 Mar 2025
- 2025SRE-Conv: Symmetric Rotation Equivariant Convolution for Biomedical Image Classification16 Jan 2025
12 newest of 66 All 66 (JSON)