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Many successful deep learning architectures are equivariant to certain transformations in order to conserve parameters and improve generalization: most famously, convolution layers are equivariant to shifts of the input. This approach only…

Machine Learning · Computer Science 2021-03-31 Allan Zhou , Tom Knowles , Chelsea Finn

In this paper a semi-supervised deep framework is proposed for the problem of 3D shape inverse rendering from a single 2D input image. The main structure of proposed framework consists of unsupervised pre-trained components which…

Computer Vision and Pattern Recognition · Computer Science 2017-11-17 Shima Kamyab , S. Zohreh Azimifar

We introduce an unsupervised feature learning approach that embeds 3D shape information into a single-view image representation. The main idea is a self-supervised training objective that, given only a single 2D image, requires all unseen…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Dinesh Jayaraman , Ruohan Gao , Kristen Grauman

We present a novel method for computing correspondences across 3D shapes using unsupervised learning. Our method computes a non-linear transformation of given descriptor functions, while optimizing for global structural properties of the…

Graphics · Computer Science 2019-08-23 Jean-Michel Roufosse , Abhishek Sharma , Maks Ovsjanikov

Finding correspondences between images or 3D scans is at the heart of many computer vision and image retrieval applications and is often enabled by matching local keypoint descriptors. Various learning approaches have been applied in the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-10 Georgios Georgakis , Srikrishna Karanam , Ziyan Wu , Jan Ernst , Jana Kosecka

Self-supervised learning (SSL) methods have achieved remarkable success in learning image representations allowing invariances in them - but therefore discarding transformation information that some computer vision tasks actually require.…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Qin Wang , Alessio Quercia , Benjamin Bruns , Abigail Morrison , Hanno Scharr , Kai Krajsek

An important problem for both graphics and vision is to synthesize novel views of a 3D object from a single image. This is particularly challenging due to the partial observability inherent in projecting a 3D object onto the image space,…

Machine Learning · Computer Science 2016-01-06 Jimei Yang , Scott Reed , Ming-Hsuan Yang , Honglak Lee

Given a collection of images, humans are able to discover landmarks by modeling the shared geometric structure across instances. This idea of geometric equivariance has been widely used for the unsupervised discovery of object landmark…

Computer Vision and Pattern Recognition · Computer Science 2021-04-06 Zezhou Cheng , Jong-Chyi Su , Subhransu Maji

Learning local descriptors is an important problem in computer vision. While there are many techniques for learning local patch descriptors for 2D images, recently efforts have been made for learning local descriptors for 3D points. The…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Siddharth Srivastava , Brejesh Lall

The ability of convolutional neural networks (CNNs) to recognize objects regardless of their position in the image is due to the translation-equivariance of the convolutional operation. Group-equivariant CNNs transfer this equivariance to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-13 Thomas Wimmer , Vladimir Golkov , Hoai Nam Dang , Moritz Zaiss , Andreas Maier , Daniel Cremers

Analyzing scalar and vector fields on the sphere, such as temperature or wind speed and direction on Earth, is a difficult task. Models should respect both the rotational symmetries of the sphere and the inherent symmetries of the vector…

Machine Learning · Computer Science 2026-04-01 Francesco Ballerin , Nello Blaser , Erlend Grong

Estimating correspondences between pairs of non-rigid deformable 3D shapes remains a significant challenge in computer vision and graphics. While deep functional map methods have become the go-to solution for addressing this problem, they…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Feifan Luo , Hongyang Chen

We propose a novel learning-based approach for robust 3D shape matching. Our method builds upon deep functional maps and can be trained in a fully unsupervised manner. Previous deep functional map methods mainly focus on predicting…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Dongliang Cao , Paul Roetzer , Florian Bernard

We present a new local descriptor for 3D shapes, directly applicable to a wide range of shape analysis problems such as point correspondences, semantic segmentation, affordance prediction, and shape-to-scan matching. The descriptor is…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 Haibin Huang , Evangelos Kalogerakis , Siddhartha Chaudhuri , Duygu Ceylan , Vladimir G. Kim , Ersin Yumer

Popular representation learning methods encourage feature invariance under transformations applied at the input. However, in 3D perception tasks like object localization and segmentation, outputs are naturally equivariant to some…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Deepti Hegde , Suhas Lohit , Kuan-Chuan Peng , Michael J. Jones , Vishal M. Patel

In many imaging modalities, objects of interest can occur in a variety of locations and poses (i.e. are subject to translations and rotations in 2d or 3d), but the location and pose of an object does not change its semantics (i.e. the…

Computer Vision and Pattern Recognition · Computer Science 2023-01-05 Alireza Nasiri , Tristan Bepler

This paper presents a novel approach to learn and detect distinctive regions on 3D shapes. Unlike previous works, which require labeled data, our method is unsupervised. We conduct the analysis on point sets sampled from 3D shapes, then…

Graphics · Computer Science 2020-04-22 Xianzhi Li , Lequan Yu , Chi-Wing Fu , Daniel Cohen-Or , Pheng-Ann Heng

The auto-encoder method is a type of dimensionality reduction method. A mapping from a vector to a descriptor that represents essential information can be automatically generated from a set of vectors without any supervising information.…

Computer Vision and Pattern Recognition · Computer Science 2017-09-13 Tadashi Matsuo , Hiroya Fukuhara , Nobutaka Shimada

With the rapid expansion of applied 3D computational vision, shape descriptors have become increasingly important for a wide variety of applications and objects from molecules to planets. Appropriate shape descriptors are critical for…

Graphics · Computer Science 2019-01-10 Fereshteh S. Bashiri , Reihaneh Rostami , Peggy Peissig , Roshan M. D'Souza , Zeyun Yu

3D object representation learning is a fundamental challenge in computer vision to infer about the 3D world. Recent advances in deep learning have shown their efficiency in 3D object recognition, among which view-based methods have…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Xiang Gao , Wei Hu , Guo-Jun Qi