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One of the fundamental problems in shape analysis is to align curves or surfaces before computing geodesic distances between their shapes. Finding the optimal reparametrization realizing this alignment is a computationally demanding task,…

Optimization and Control · Mathematics 2023-11-14 Elena Celledoni , Helge Glöckner , Jørgen Riseth , Alexander Schmeding

To endow machines with the ability to perceive the real-world in a three dimensional representation as we do as humans is a fundamental and long-standing topic in Artificial Intelligence. Given different types of visual inputs such as…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Bo Yang

Generative reconstruction methods compute the 3D configuration (such as pose and/or geometry) of a shape by optimizing the overlap of the projected 3D shape model with images. Proper handling of occlusions is a big challenge, since the…

Computer Vision and Pattern Recognition · Computer Science 2016-02-12 Helge Rhodin , Nadia Robertini , Christian Richardt , Hans-Peter Seidel , Christian Theobalt

We introduce PyTorch Geometric, a library for deep learning on irregularly structured input data such as graphs, point clouds and manifolds, built upon PyTorch. In addition to general graph data structures and processing methods, it…

Machine Learning · Computer Science 2019-04-26 Matthias Fey , Jan Eric Lenssen

Deep learning applied to the reconstruction of 3D shapes has seen growing interest. A popular approach to 3D reconstruction and generation in recent years has been the CNN encoder-decoder model usually applied in voxel space. However, this…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Mateusz Michalkiewicz , Eugene Belilovsky , Mahsa Baktashmotlagh , Anders Eriksson

Deep learning affords enormous opportunities to augment the armamentarium of biomedical imaging, albeit its design and implementation have potential flaws. Fundamentally, most deep learning models are driven entirely by data without…

Computer Vision and Pattern Recognition · Computer Science 2021-05-26 Liyue Shen , Wei Zhao , Dante Capaldi , John Pauly , Lei Xing

Manually authoring 3D shapes is difficult and time consuming; generative models of 3D shapes offer compelling alternatives. Procedural representations are one such possibility: they offer high-quality and editable results but are difficult…

Aerodynamic shape optimization has many industrial applications. Existing methods, however, are so computationally demanding that typical engineering practices are to either simply try a limited number of hand-designed shapes or restrict…

Computational Engineering, Finance, and Science · Computer Science 2018-02-13 Pierre Baqué , Edoardo Remelli , François Fleuret , Pascal Fua

3D shape is a crucial but heavily underutilized cue in today's computer vision systems, mostly due to the lack of a good generic shape representation. With the recent availability of inexpensive 2.5D depth sensors (e.g. Microsoft Kinect),…

Computer Vision and Pattern Recognition · Computer Science 2015-04-16 Zhirong Wu , Shuran Song , Aditya Khosla , Fisher Yu , Linguang Zhang , Xiaoou Tang , Jianxiong Xiao

Ptychography has become an indispensable tool for high-resolution, non-destructive imaging using coherent light sources. The processing of ptychographic data critically depends on robust, efficient, and flexible computational reconstruction…

Program code serves as a bridge linking vision and logic, providing a feasible supervisory approach for enhancing the multimodal reasoning capability of large models through geometric operations such as auxiliary line construction and…

Artificial Intelligence · Computer Science 2026-02-10 Zhenyu Wu , Yanxi Long , Jian Li , Hua Huang

Shape priors learned from data are commonly used to reconstruct 3D objects from partial or noisy data. Yet no such shape priors are available for indoor scenes, since typical 3D autoencoders cannot handle their scale, complexity, or…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Chiyu Max Jiang , Avneesh Sud , Ameesh Makadia , Jingwei Huang , Matthias Nießner , Thomas Funkhouser

3D dense reconstruction refers to the process of obtaining the complete shape and texture features of 3D objects from 2D planar images. 3D reconstruction is an important and extensively studied problem, but it is far from being solved. This…

Computer Vision and Pattern Recognition · Computer Science 2023-04-20 Yangming Li

Muon scattering tomography is a well-established, non-invasive imaging technique using cosmic-ray muons. Simple algorithms, such as PoCA (Point of Closest Approach), are often utilized to reconstruct the volume of interest from the observed…

High Energy Physics - Experiment · Physics 2025-11-10 Jean-Marco Alameddine , Felix Sattler , Maurice Stephan , Sarah Barnes

Single-view 3D object reconstruction is a fundamental and challenging computer vision task that aims at recovering 3D shapes from single-view RGB images. Most existing deep learning based reconstruction methods are trained and evaluated on…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Xianghui Yang , Guosheng Lin , Luping Zhou

Modern CAD tools represent 3D designs not only as geometry, but also as a program composed of geometric operations, each of which depends on a set of parameters. Program representations enable meaningful and controlled shape variations via…

Graphics · Computer Science 2021-10-05 Dan Cascaval , Mira Shalah , Phillip Quinn , Rastislav Bodik , Maneesh Agrawala , Adriana Schulz

High-quality 3D reconstruction of pulmonary segments plays a crucial role in segmentectomy and surgical planning for the treatment of lung cancer. Due to the resolution requirement of the target reconstruction, conventional deep…

Graphics · Computer Science 2025-12-16 Kangxian Xie , Yufei Zhu , Kaiming Kuang , Li Zhang , Hongwei Bran Li , Mingchen Gao , Jiancheng Yang

We present a new approach to 3D object representation where a neural network encodes the geometry of an object directly into the weights and biases of a second 'mapping' network. This mapping network can be used to reconstruct an object by…

Machine Learning · Computer Science 2020-04-07 Eric Mitchell , Selim Engin , Volkan Isler , Daniel D Lee

Industrial CAD workflows require robust, generalizable 3D geometric representations supporting accuracy and explainability. We introduce Shape, a self-supervised foundation model converting surface meshes into dense per-token embeddings.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Bayangmbe Mounmo , Sam Chien , Mile Mitrovic

Reverse Engineering a CAD shape from other representations is an important geometric processing step for many downstream applications. In this work, we introduce a novel neural network architecture to solve this challenging task and…

Computer Vision and Pattern Recognition · Computer Science 2022-09-05 Joseph G. Lambourne , Karl D. D. Willis , Pradeep Kumar Jayaraman , Longfei Zhang , Aditya Sanghi , Kamal Rahimi Malekshan