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Topological methods for data analysis present opportunities for enforcing certain invariances of broad interest in computer vision, including view-point in activity analysis, articulation in shape analysis, and measurement invariance in…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Anirudh Som , Kowshik Thopalli , Karthikeyan Natesan Ramamurthy , Vinay Venkataraman , Ankita Shukla , Pavan Turaga

Learning-based 3D reconstruction methods have shown impressive results. However, most methods require 3D supervision which is often hard to obtain for real-world datasets. Recently, several works have proposed differentiable rendering…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Michael Niemeyer , Lars Mescheder , Michael Oechsle , Andreas Geiger

Deep Implicit Functions (DIFs) have gained popularity in 3D computer vision due to their compactness and continuous representation capabilities. However, addressing dense correspondences and semantic relationships across DIF-encoded shapes…

Computer Vision and Pattern Recognition · Computer Science 2023-07-06 Kun Han , Shanlin Sun , Xiaohui Xie

In the literature, it has been shown that the evolution of the known explicit 3D surface to the target one can be learned from 2D images using the instantaneous flow field, where the known and target 3D surfaces may largely differ in…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 AmirHossein Naghi Razlighi , Tiago Novello , Asen Nachkov , Thomas Probst , Danda Paudel

Mathematically representing the shape of an object is a key ingredient for solving inverse rendering problems. Explicit representations like meshes are efficient to render in a differentiable fashion but have difficulties handling topology…

Graphics · Computer Science 2022-07-12 Guangyan Cai , Kai Yan , Zhao Dong , Ioannis Gkioulekas , Shuang Zhao

We proposed a generalized method, NeuralSSD, for reconstructing a 3D implicit surface from the widely-available point cloud data. NeuralSSD is a solver-based on the neural Galerkin method, aimed at reconstructing higher-quality and accurate…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Zi-Chen Xi , Jiahui Huang , Hao-Xiang Chen , Francis Williams , Qun-Ce Xu , Tai-Jiang Mu , Shi-Min Hu

Dynamic magnetic resonance imaging (dMRI) captures temporally-resolved anatomy but is often challenged by limited sampling and motion-induced artifacts. Conventional motion-compensated reconstructions typically rely on pre-estimated optical…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Baoqing Li , Yuanyuan Liu , Congcong Liu , Qingyong Zhu , Jing Cheng , Yihang Zhou , Hao Chen , Zhuo-Xu Cui , Dong Liang

We propose a new class of generative diffusion models, called functional diffusion. In contrast to previous work, functional diffusion works on samples that are represented by functions with a continuous domain. Functional diffusion can be…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Biao Zhang , Peter Wonka

Reconstructing the surfaces of deformable objects from correspondences between a 3D template and a 2D image is well studied under Shape-from-Template (SfT) methods; however, existing approaches break down when topological changes accompany…

Computer Vision and Pattern Recognition · Computer Science 2025-11-06 Kevin Manogue , Tomasz M Schang , Dilara Kuş , Jonas Müller , Stefan Zachow , Agniva Sengupta

Recently, methods for neural surface representation and rendering, for example NeuS, have shown that learning neural implicit surfaces through volume rendering is becoming increasingly popular and making good progress. However, these…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Hanqi Jiang , Cheng Zeng , Runnan Chen , Shuai Liang , Yinhe Han , Yichao Gao , Conglin Wang

Surface reconstruction is a fundamental problem in 3D graphics. In this paper, we propose a learning-based approach for implicit surface reconstruction from raw point clouds without normals. Our method is inspired by Gauss Lemma in…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Dong Xiao , Siyou Lin , Zuoqiang Shi , Bin Wang

Accurate 3D shape abstraction from a single 2D image is a long-standing problem in computer vision and graphics. By leveraging a set of primitives to represent the target shape, recent methods have achieved promising results. However, these…

Computer Vision and Pattern Recognition · Computer Science 2023-10-05 Di Liu , Xiang Yu , Meng Ye , Qilong Zhangli , Zhuowei Li , Zhixing Zhang , Dimitris N. Metaxas

Sensing the fluid flow around an arbitrary geometry entails extrapolating from the physical quantities perceived at its surface in order to reconstruct the features of the surrounding fluid. This is a challenging inverse problem, yet one…

Computational Engineering, Finance, and Science · Computer Science 2023-01-10 Gregory Duthé , Imad Abdallah , Sarah Barber , Eleni Chatzi

We show that the recently introduced iterative backflow renormalization can be interpreted as a general neural network in continuum space with non-linear functions in the hidden units. We use this wave function within Variational Monte…

Other Condensed Matter · Physics 2018-05-23 Michele Ruggeri , Saverio Moroni , Markus Holzmann

Robust scene representation is essential for autonomous systems to safely operate in challenging low-visibility environments. Radar has a clear advantage over cameras and lidars in these conditions due to its resilience to environmental…

Robotics · Computer Science 2026-03-27 Judith Treffler , Vladimír Kubelka , Henrik Andreasson , Martin Magnusson

High-dimensional spatio-temporal dynamics can often be encoded in a low-dimensional subspace. Engineering applications for modeling, characterization, design, and control of such large-scale systems often rely on dimensionality reduction to…

Machine Learning · Computer Science 2023-01-05 Shaowu Pan , Steven L. Brunton , J. Nathan Kutz

In visual computing, 3D geometry is represented in many different forms including meshes, point clouds, voxel grids, level sets, and depth images. Each representation is suited for different tasks thus making the transformation of one…

Computer Vision and Pattern Recognition · Computer Science 2022-09-02 Trevor Houchens , Cheng-You Lu , Shivam Duggal , Rao Fu , Srinath Sridhar

Neural networks that map 3D coordinates to signed distance function (SDF) or occupancy values have enabled high-fidelity implicit representations of object shape. This paper develops a new shape model that allows synthesizing novel distance…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Ehsan Zobeidi , Nikolay Atanasov

Deep implicit functions (DIFs), as a kind of 3D shape representation, are becoming more and more popular in the 3D vision community due to their compactness and strong representation power. However, unlike polygon mesh-based templates, it…

Computer Vision and Pattern Recognition · Computer Science 2021-05-14 Zerong Zheng , Tao Yu , Qionghai Dai , Yebin Liu

In this paper, we investigate image reconstruction for dynamic Computed Tomography. The motion of the target with respect to the measurement acquisition rate leads to highly resolved in time but highly undersampled in space measurements.…

Image and Video Processing · Electrical Eng. & Systems 2025-06-27 Pablo Arratia , Matthias Ehrhardt , Lisa Kreusser