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We give an overview of combinatorial methods to represent 3D data, such as graphs and meshes, from the viewpoint of their amenability to analysis using machine learning algorithms. We highlight pros and cons of various representations and…

Machine Learning · Computer Science 2024-08-19 Tomasz Prytuła

Neural shape models can represent complex 3D shapes with a compact latent space. When applied to dynamically deforming shapes such as the human hands, however, they would need to preserve temporal coherence of the deformation as well as the…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Binbin Xu , Lingni Ma , Yuting Ye , Tanner Schmidt , Christopher D. Twigg , Steven Lovegrove

In this paper, we propose a novel approach to 3D deformable object manipulation leveraging a deep neural network called DeformerNet. Controlling the shape of a 3D object requires an effective state representation that can capture the full…

Robotics · Computer Science 2021-07-20 Bao Thach , Alan Kuntz , Tucker Hermans

Real-world applications of computational fluid dynamics often involve the evaluation of quantities of interest for several distinct geometries that define the computational domain or are embedded inside it. For example, design optimization…

Numerical Analysis · Mathematics 2023-08-08 Guglielmo Padula , Francesco Romor , Giovanni Stabile , Gianluigi Rozza

We present Neural Shape Deformation Priors, a novel method for shape manipulation that predicts mesh deformations of non-rigid objects from user-provided handle movements. State-of-the-art methods cast this problem as an optimization task,…

Computer Vision and Pattern Recognition · Computer Science 2023-02-02 Jiapeng Tang , Lev Markhasin , Bi Wang , Justus Thies , Matthias Nießner

Omnidirectional images and spherical representations of $3D$ shapes cannot be processed with conventional 2D convolutional neural networks (CNNs) as the unwrapping leads to large distortion. Using fast implementations of spherical and…

Computer Vision and Pattern Recognition · Computer Science 2020-12-09 Suhas Lohit , Shubhendu Trivedi

In this paper, we propose a novel graph convolutional network architecture, Graph Stacked Hourglass Networks, for 2D-to-3D human pose estimation tasks. The proposed architecture consists of repeated encoder-decoder, in which…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Tianhan Xu , Wataru Takano

Recent advances in deep learning have significantly transformed the field of 3D shape generation, enabling the synthesis of complex, diverse, and semantically meaningful 3D objects. This survey provides a comprehensive overview of the…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Nicolas Caytuiro , Ivan Sipiran

The published literature on topology optimization has exploded over the last two decades to include methods that use shape and topological derivatives or evolutionary algorithms formulated on various geometric representations and…

Machine Learning · Computer Science 2021-02-16 MohammadMahdi Behzadi , Horea T. Ilies

The 3D shapes of faces are well known to be discriminative. Yet despite this, they are rarely used for face recognition and always under controlled viewing conditions. We claim that this is a symptom of a serious but often overlooked…

Computer Vision and Pattern Recognition · Computer Science 2016-12-16 Anh Tuan Tran , Tal Hassner , Iacopo Masi , Gerard Medioni

Symmetry-aware architectures are central to geometric deep learning. We present a systematic approach for constructing continuous rotationally invariant and equivariant functions using symmetric tensor networks. The proposed framework…

Machine Learning · Computer Science 2026-02-03 Meng Zhang , Chao Wang , Hao Zhang , Shaojun Dong , Lixin He

In this paper we present a novel representation for deformation fields of 3D shapes, by considering the induced changes in the underlying metric. In particular, our approach allows to represent a deformation field in a coordinate-free way…

Graphics · Computer Science 2017-09-29 Etienne Corman , Maks Ovsjanikov

This paper proposes a new Quantum Spatial Graph Convolutional Neural Network (QSGCNN) model that can directly learn a classification function for graphs of arbitrary sizes. Unlike state-of-the-art Graph Convolutional Neural Network (GCNN)…

Machine Learning · Computer Science 2023-04-04 Lu Bai , Yuhang Jiao , Luca Rossi , Lixin Cui , Jian Cheng , Edwin R. Hancock

Disentangled representation learning has recently attracted a significant amount of attention, particularly in the field of image representation learning. However, learning the disentangled representations behind a graph remains largely…

Machine Learning · Computer Science 2020-06-11 Xiaojie Guo , Liang Zhao , Zhao Qin , Lingfei Wu , Amarda Shehu , Yanfang Ye

Dramatic advances in generative models have resulted in near photographic quality for artificially rendered faces, animals and other objects in the natural world. In spite of such advances, a higher level understanding of vision and imagery…

Computer Vision and Pattern Recognition · Computer Science 2019-04-05 Raphael Gontijo Lopes , David Ha , Douglas Eck , Jonathon Shlens

Geometric deep learning has gained much attention in recent years due to more available data acquired from non-Euclidean domains. Some examples include point clouds for 3D models and wireless sensor networks in communications. Graphs are…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Zhiyang Wang , Luana Ruiz , Alejandro Ribeiro

In this paper we present, to the best of our knowledge, the first method to learn a generative model of 3D shapes from natural images in a fully unsupervised way. For example, we do not use any ground truth 3D or 2D annotations, stereo…

Computer Vision and Pattern Recognition · Computer Science 2019-10-02 Attila Szabó , Givi Meishvili , Paolo Favaro

Recent successes in deep learning based deformable image registration (DIR) methods have demonstrated that complex deformation can be learnt directly from data while reducing computation time when compared to traditional methods. However,…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Sharib Ali , Jens Rittscher

3D shape editing is widely used in a range of applications such as movie production, computer games and computer aided design. It is also a popular research topic in computer graphics and computer vision. In past decades, researchers have…

Graphics · Computer Science 2021-03-03 Yu-Jie Yuan , Yu-Kun Lai , Tong Wu , Lin Gao , Ligang Liu

In recent decades, 3D morphable model (3DMM) has been commonly used in image-based photorealistic 3D face reconstruction. However, face images are often corrupted by serious occlusion by non-face objects including eyeglasses, masks, and…

Computer Vision and Pattern Recognition · Computer Science 2019-09-09 Xiaowei Yuan , In Kyu Park