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Implicit models such as Deep Equilibrium Models (DEQs) have emerged as promising alternative approaches for building deep neural networks. Their certified robustness has gained increasing research attention due to security concerns.…

Machine Learning · Computer Science 2024-11-05 Weizhi Gao , Zhichao Hou , Han Xu , Xiaorui Liu

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

Key part of robotics, augmented reality, and digital inspection is dense 3D reconstruction from depth observations. Traditional volumetric fusion techniques, including truncated signed distance functions (TSDF), enable efficient and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Soumya Mazumdar , Vineet Kumar Rakesh , Tapas Samanta

Autonomous robots should operate in real-world dynamic environments and collaborate with humans in tight spaces. A key component for allowing robots to leave structured lab and manufacturing settings is their ability to evaluate online and…

Robotics · Computer Science 2022-08-01 Puze Liu , Kuo Zhang , Davide Tateo , Snehal Jauhri , Jan Peters , Georgia Chalvatzaki

3D computer vision models are commonly used in security-critical applications such as autonomous driving and surgical robotics. Emerging concerns over the robustness of these models against real-world deformations must be addressed…

Computer Vision and Pattern Recognition · Computer Science 2022-04-13 Gabriel Pérez S. , Juan C. Pérez , Motasem Alfarra , Silvio Giancola , Bernard Ghanem

A reliable application of deep neural network classifiers requires robustness certificates against adversarial perturbations. Gaussian smoothing is a widely analyzed approach to certifying robustness against norm-bounded perturbations,…

Machine Learning · Computer Science 2024-09-23 Hossein Goli , Farzan Farnia

Recently smoothing deep neural network based classifiers via isotropic Gaussian perturbation is shown to be an effective and scalable way to provide state-of-the-art probabilistic robustness guarantee against $\ell_2$ norm bounded…

Machine Learning · Statistics 2020-02-19 Huijie Feng , Chunpeng Wu , Guoyang Chen , Weifeng Zhang , Yang Ning

Dense 3D object reconstruction from a single image has recently witnessed remarkable advances, but supervising neural networks with ground-truth 3D shapes is impractical due to the laborious process of creating paired image-shape datasets.…

Computer Vision and Pattern Recognition · Computer Science 2020-10-21 Chen-Hsuan Lin , Chaoyang Wang , Simon Lucey

Deep neural networks have been widely adopted in many vision and robotics applications with visual inputs. It is essential to verify its robustness against semantic transformation perturbations, such as brightness and contrast. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Hanjiang Hu , Bowei Li , Ziwei Wang , Tianhao Wei , Casidhe Hutchison , Eric Sample , Changliu Liu

Fast and efficient collision detection is essential for motion generation in robotics. In this paper, we propose an efficient collision detection framework based on the Signed Distance Field (SDF) of robots, seamlessly integrated with a…

Robotics · Computer Science 2024-09-24 Xiankun Zhu , Yucheng Xin , Shoujie Li , Houde Liu , Chongkun Xia , Bin Liang

We present iSDF, a continual learning system for real-time signed distance field (SDF) reconstruction. Given a stream of posed depth images from a moving camera, it trains a randomly initialised neural network to map input 3D coordinate to…

Existing methods in neural scene reconstruction utilize the Signed Distance Function (SDF) to model the density function. However, in indoor scenes, the density computed from the SDF for a sampled point may not consistently reflect its real…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Ruihong Yin , Yunlu Chen , Sezer Karaoglu , Theo Gevers

Neural signed distance functions (SDFs) have been a vital representation to represent 3D shapes or scenes with neural networks. An SDF is an implicit function that can query signed distances at specific coordinates for recovering a 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Qiang Bai , Bojian Wu , Xi Yang , Zhizhong Han

When learning to sketch, beginners start with simple and flexible shapes, and then gradually strive for more complex and accurate ones in the subsequent training sessions. In this paper, we design a "shape curriculum" for learning…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Yueqi Duan , Haidong Zhu , He Wang , Li Yi , Ram Nevatia , Leonidas J. Guibas

Federated learning has recently gained significant attention and popularity due to its effectiveness in training machine learning models on distributed data privately. However, as in the single-node supervised learning setup, models trained…

Machine Learning · Computer Science 2022-10-27 Motasem Alfarra , Juan C. Pérez , Egor Shulgin , Peter Richtárik , Bernard Ghanem

In crowded urban environments where traffic is dense, current technologies struggle to oversee tight navigation, but surface-level understanding allows autonomous vehicles to safely assess proximity to surrounding obstacles. 3D or 2D scene…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Akarshani Ramanayake , Nihal Kodikara

Learning signed distance functions (SDFs) from point clouds is an important task in 3D computer vision. However, without ground truth signed distances, point normals or clean point clouds, current methods still struggle from learning SDFs…

Computer Vision and Pattern Recognition · Computer Science 2024-07-22 Junsheng Zhou , Baorui Ma , Yu-Shen Liu , Zhizhong Han

Deep learning-based visual perception models lack robustness when faced with camera motion perturbations in practice. The current certification process for assessing robustness is costly and time-consuming due to the extensive number of…

Machine Learning · Computer Science 2024-03-05 Hanjiang Hu , Zuxin Liu , Linyi Li , Jiacheng Zhu , Ding Zhao

Extracting surfaces from Signed Distance Fields (SDFs) can be accomplished using traditional algorithms, such as Marching Cubes. However, since they rely on sign flips across the surface, these algorithms cannot be used directly on Unsigned…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Federico Stella , Nicolas Talabot , Hieu Le , Pascal Fua

Signed distance-radiance field (SDF-NeRF) is a promising environment representation that offers both photo-realistic rendering and geometric reasoning such as proximity queries for collision avoidance. However, the slow training speed and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Runfa Blark Li , Keito Suzuki , Bang Du , Ki Myung Brian Lee , Nikolay Atanasov , Truong Nguyen