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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

The neural implicit representation has shown its effectiveness in novel view synthesis and high-quality 3D reconstruction from multi-view images. However, most approaches focus on holistic scene representation yet ignore individual objects…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Qianyi Wu , Xian Liu , Yuedong Chen , Kejie Li , Chuanxia Zheng , Jianfei Cai , Jianmin Zheng

Collision detection is essential to virtually all robotics applications. However, traditional geometric collision detection methods generally require pre-existing workspace geometry representations; thus, they are unable to infer the…

Robotics · Computer Science 2023-09-15 Gabriel Guo , Judah Goldfeder , Aniv Ray , Tony Dear , Hod Lipson

Implicit neural representations have emerged as a powerful tool in learning 3D geometry, offering unparalleled advantages over conventional representations like mesh-based methods. A common type of INR implicitly encodes a shape's boundary…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Shen Fan , Przemyslaw Musialski

In this paper, we present a novel implicit glyph shape representation, which models glyphs as shape primitives enclosed by quadratic curves, and naturally enables generating glyph images at arbitrary high resolutions. Experiments on font…

Computer Vision and Pattern Recognition · Computer Science 2021-06-17 Ying-Tian Liu , Yuan-Chen Guo , Yi-Xiao Li , Chen Wang , Song-Hai Zhang

Implicit functions provide a fundamental basis to model 3D objects, no matter they are rigid or deformable, in computer graphics and geometric modeling. This paper introduces a new constructive scheme of implicitly-defined 3D objects based…

Graphics · Computer Science 2019-06-18 Adriano N. Raposo , Abel J. P. Gomes

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

In modern computer vision, the optimal representation of 3D shape continues to be task-dependent. One fundamental operation applied to such representations is differentiable rendering, as it enables inverse graphics approaches in learning…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Tristan Aumentado-Armstrong , Stavros Tsogkas , Sven Dickinson , Allan Jepson

Methods allowing the synthesis of realistic cell shapes could help generate training data sets to improve cell tracking and segmentation in biomedical images. Deep generative models for cell shape synthesis require a light-weight and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-07 David Wiesner , Julian Suk , Sven Dummer , David Svoboda , Jelmer M. Wolterink

3D Shape representation has substantial effects on 3D shape reconstruction. Primitive-based representations approximate a 3D shape mainly by a set of simple implicit primitives, but the low geometrical complexity of the primitives limits…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Mohsen Yavartanoo , JaeYoung Chung , Reyhaneh Neshatavar , Kyoung Mu Lee

Human perception of 3D shapes goes beyond reconstructing them as a set of points or a composition of geometric primitives: we also effortlessly understand higher-level shape structure such as the repetition and reflective symmetry of object…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Yonglong Tian , Andrew Luo , Xingyuan Sun , Kevin Ellis , William T. Freeman , Joshua B. Tenenbaum , Jiajun Wu

We present implicit displacement fields, a novel representation for detailed 3D geometry. Inspired by a classic surface deformation technique, displacement mapping, our method represents a complex surface as a smooth base surface plus a…

Computer Vision and Pattern Recognition · Computer Science 2022-02-03 Wang Yifan , Lukas Rahmann , Olga Sorkine-Hornung

Over the last years, 3D morphable models (3DMMs) have emerged as a state-of-the-art methodology for modeling and generating expressive 3D avatars. However, given their reliance on a strict topology, along with their linear nature, they…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Rolandos Alexandros Potamias , Stathis Galanakis , Jiankang Deng , Athanasios Papaioannou , Stefanos Zafeiriou

We present a novel learning-based approach for computing correspondences between non-rigid 3D shapes. Unlike previous methods that either require extensive training data or operate on handcrafted input descriptors and thus generalize poorly…

Machine Learning · Statistics 2020-04-01 Nicolas Donati , Abhishek Sharma , Maks Ovsjanikov

State-of-the-art fully intrinsic networks for non-rigid shape matching often struggle to disambiguate the symmetries of the shapes leading to unstable correspondence predictions. Meanwhile, recent advances in the functional map framework…

Computer Vision and Pattern Recognition · Computer Science 2022-04-29 Nicolas Donati , Etienne Corman , Maks Ovsjanikov

Neural implicit functions have achieved impressive results for reconstructing 3D shapes from single images. However, the image features for describing 3D point samplings of implicit functions are less effective when significant variations…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Yixin Zhuang , Yunzhe Liu , Yujie Wang , Baoquan Chen

Implicit fields have recently shown increasing success in representing and learning 3D shapes accurately. Signed distance fields and occupancy fields are decades old and still the preferred representations, both with well-studied…

Computer Vision and Pattern Recognition · Computer Science 2023-04-10 Edoardo Mello Rella , Ajad Chhatkuli , Ender Konukoglu , Luc Van Gool

Recent advances in localized implicit functions have enabled neural implicit representation to be scalable to large scenes. However, the regular subdivision of 3D space employed by these approaches fails to take into account the sparsity of…

Graphics · Computer Science 2021-11-02 Jia-Heng Tang , Weikai Chen , Jie Yang , Bo Wang , Songrun Liu , Bo Yang , Lin Gao

Learning neural implicit fields of 3D shapes is a rapidly emerging field that enables shape representation at arbitrary resolutions. Due to the flexibility, neural implicit fields have succeeded in many research areas, including shape…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Yifei Shi , Boyan Wan , Xin Xu , Kai Xu

Implicit representations of 3D objects have recently achieved impressive results on learning-based 3D reconstruction tasks. While existing works use simple texture models to represent object appearance, photo-realistic image synthesis…

Computer Vision and Pattern Recognition · Computer Science 2020-03-30 Michael Oechsle , Michael Niemeyer , Lars Mescheder , Thilo Strauss , Andreas Geiger
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