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We propose a novel 3D spatial representation for data fusion and scene reconstruction. Probabilistic Signed Distance Function (Probabilistic SDF, PSDF) is proposed to depict uncertainties in the 3D space. It is modeled by a joint…

Robotics · Computer Science 2018-07-31 Wei Dong , Qiuyuan Wang , Xin Wang , Hongbin Zha

We describe in this short note a technique to convert an implicit surface into a Signed Distance Function (SDF) while exactly preserving the zero level-set of the implicit. The proposed approach relies on embedding the input implicit in the…

Graphics · Computer Science 2021-06-07 Pierre-Alain Fayolle

Neural radiance fields (NeRF) have driven impressive progress in view synthesis by using ray-traced volumetric rendering. Splatting-based methods such as 3D Gaussian Splatting (3DGS) provide faster rendering by rasterizing 3D primitives.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Antonella Rech , Nicola Conci , Nicola Garau

Generative AI has emerged as a transformative paradigm in engineering design, enabling automated synthesis and reconstruction of complex 3D geometries while preserving feasibility and performance relevance. This paper introduces a…

Machine Learning · Computer Science 2026-01-21 Ashish S. Nair , Sandipp Krishnan Ravi , Itzel Salgado , Changjie Sun , Sayan Ghosh , Liping Wang

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

Recent work achieved impressive progress towards joint reconstruction of hands and manipulated objects from monocular color images. Existing methods focus on two alternative representations in terms of either parametric meshes or signed…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Zerui Chen , Yana Hasson , Cordelia Schmid , Ivan Laptev

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

Rasterization based methods have recently enabled high-quality novel view synthesis at real-time rates, but their underlying volumetric primitives do not expose a direct, globally consistent surface representation, leaving sur face…

Graphics · Computer Science 2026-04-28 Jinkai Cui , Kaiwen Song , Chumeng Niu , Juyong Zhang

In this paper, we investigate a new optimization framework for multi-view 3D shape reconstructions. Recent differentiable rendering approaches have provided breakthrough performances with implicit shape representations though they can still…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Pierre Zins , Yuanlu Xu , Edmond Boyer , Stefanie Wuhrer , Tony Tung

We propose a novel method for reconstructing explicit parameterized surfaces from Signed Distance Fields (SDFs), a widely used implicit neural representation (INR) for 3D surfaces. While traditional reconstruction methods like Marching…

Graphics · Computer Science 2024-10-07 Haotian Yin , Przemyslaw Musialski

The ability to capture rich representations of combinatorial structures has enabled the application of machine learning to tasks such as analysis and generation of floorplans, terrains, images, and animations. Recent work has primarily…

Computational Geometry · Computer Science 2025-10-23 Rahul Moorthy , Jun-Jee Chao , Volkan Isler

We introduce a novel approach for the reconstruction of tubular shapes from skeletal representations. Our method processes all skeletal points as a whole, eliminating the need for splitting input structure into multiple segments. We…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Guoqing Zhang , Yang Li

Accurate and efficient environment representation is crucial for robotic applications such as motion planning, manipulation, and navigation. Signed distance functions (SDFs) have emerged as a powerful representation for encoding distance to…

Robotics · Computer Science 2026-04-01 Zhirui Dai , Tianxing Fan , Mani Amani , Jaemin Seo , Ki Myung Brian Lee , Hyondong Oh , Nikolay Atanasov

SVG (Scalable Vector Graphics) is a widely used graphics format that possesses excellent scalability and editability. Image vectorization, which aims to convert raster images to SVGs, is an important yet challenging problem in computer…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Teng Hu , Ran Yi , Baihong Qian , Jiangning Zhang , Paul L. Rosin , Yu-Kun Lai

The inverse design of metamaterial architectures presents a significant challenge, particularly for nonlinear mechanical properties involving large deformations, buckling, contact, and plasticity. Traditional methods, such as gradient-based…

Computational Physics · Physics 2025-05-29 Qibang Liu , Seid Koric , Diab Abueidda , Hadi Meidani , Philippe Geubelle

Signed distance fields (SDFs) are a form of surface representation widely used in computer graphics, having applications in rendering, collision detection and modelling. In interactive media such as games, high-resolution SDFs are commonly…

Graphics · Computer Science 2022-10-13 Yu Wei Tan , Nicholas Chua , Clarence Koh , Anand Bhojan

In the field of trajectory generation for objects, ensuring continuous collision-free motion remains a huge challenge, especially for non-convex geometries and complex environments. Previous methods either oversimplify object shapes, which…

Robotics · Computer Science 2024-05-02 Jingping Wang , Tingrui Zhang , Qixuan Zhang , Chuxiao Zeng , Jingyi Yu , Chao Xu , Lan Xu , Fei Gao

Neural signed distance functions (SDFs) are emerging as an effective representation for 3D shapes. State-of-the-art methods typically encode the SDF with a large, fixed-size neural network to approximate complex shapes with implicit…

Computer Vision and Pattern Recognition · Computer Science 2021-01-27 Towaki Takikawa , Joey Litalien , Kangxue Yin , Karsten Kreis , Charles Loop , Derek Nowrouzezahrai , Alec Jacobson , Morgan McGuire , Sanja Fidler

Probabilistic diffusion models have achieved state-of-the-art results for image synthesis, inpainting, and text-to-image tasks. However, they are still in the early stages of generating complex 3D shapes. This work proposes Diffusion-SDF, a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Gene Chou , Yuval Bahat , Felix Heide

Humans rely on their visual and tactile senses to develop a comprehensive 3D understanding of their physical environment. Recently, there has been a growing interest in exploring and manipulating objects using data-driven approaches that…

Computer Vision and Pattern Recognition · Computer Science 2023-11-22 Mauro Comi , Yijiong Lin , Alex Church , Alessio Tonioni , Laurence Aitchison , Nathan F. Lepora