Möbius Transform for Mitigating Perspective Distortions in Representation Learning

Fuente: arXiv
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Autores principales: Chhipa, Prakash Chandra, Chippa, Meenakshi Subhash, De, Kanjar, Saini, Rajkumar, Liwicki, Marcus, Shah, Mubarak
Formato: Preprint
Publicado: 2024
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author Chhipa, Prakash Chandra
Chippa, Meenakshi Subhash
De, Kanjar
Saini, Rajkumar
Liwicki, Marcus
Shah, Mubarak
author_facet Chhipa, Prakash Chandra
Chippa, Meenakshi Subhash
De, Kanjar
Saini, Rajkumar
Liwicki, Marcus
Shah, Mubarak
contents Perspective distortion (PD) causes unprecedented changes in shape, size, orientation, angles, and other spatial relationships of visual concepts in images. Precisely estimating camera intrinsic and extrinsic parameters is a challenging task that prevents synthesizing perspective distortion. Non-availability of dedicated training data poses a critical barrier to developing robust computer vision methods. Additionally, distortion correction methods make other computer vision tasks a multi-step approach and lack performance. In this work, we propose mitigating perspective distortion (MPD) by employing a fine-grained parameter control on a specific family of Möbius transform to model real-world distortion without estimating camera intrinsic and extrinsic parameters and without the need for actual distorted data. Also, we present a dedicated perspectively distorted benchmark dataset, ImageNet-PD, to benchmark the robustness of deep learning models against this new dataset. The proposed method outperforms existing benchmarks, ImageNet-E and ImageNet-X. Additionally, it significantly improves performance on ImageNet-PD while consistently performing on standard data distribution. Notably, our method shows improved performance on three PD-affected real-world applications crowd counting, fisheye image recognition, and person re-identification and one PD-affected challenging CV task: object detection. The source code, dataset, and models are available on the project webpage at https://prakashchhipa.github.io/projects/mpd.
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publishDate 2024
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spellingShingle Möbius Transform for Mitigating Perspective Distortions in Representation Learning
Chhipa, Prakash Chandra
Chippa, Meenakshi Subhash
De, Kanjar
Saini, Rajkumar
Liwicki, Marcus
Shah, Mubarak
Computer Vision and Pattern Recognition
Perspective distortion (PD) causes unprecedented changes in shape, size, orientation, angles, and other spatial relationships of visual concepts in images. Precisely estimating camera intrinsic and extrinsic parameters is a challenging task that prevents synthesizing perspective distortion. Non-availability of dedicated training data poses a critical barrier to developing robust computer vision methods. Additionally, distortion correction methods make other computer vision tasks a multi-step approach and lack performance. In this work, we propose mitigating perspective distortion (MPD) by employing a fine-grained parameter control on a specific family of Möbius transform to model real-world distortion without estimating camera intrinsic and extrinsic parameters and without the need for actual distorted data. Also, we present a dedicated perspectively distorted benchmark dataset, ImageNet-PD, to benchmark the robustness of deep learning models against this new dataset. The proposed method outperforms existing benchmarks, ImageNet-E and ImageNet-X. Additionally, it significantly improves performance on ImageNet-PD while consistently performing on standard data distribution. Notably, our method shows improved performance on three PD-affected real-world applications crowd counting, fisheye image recognition, and person re-identification and one PD-affected challenging CV task: object detection. The source code, dataset, and models are available on the project webpage at https://prakashchhipa.github.io/projects/mpd.
title Möbius Transform for Mitigating Perspective Distortions in Representation Learning
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2405.02296