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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

Optimization-based trajectory generation methods are widely used in whole-body planning for robots. However, existing work either oversimplifies the robot's geometry and environment representation, resulting in a conservative trajectory, or…

Robotics · Computer Science 2023-03-03 Tingrui Zhang , Jingping Wang , Chao Xu , Alan Gao , Fei Gao

Reconstructing hand-held objects from a single RGB image is an important and challenging problem. Existing works utilizing Signed Distance Fields (SDF) reveal limitations in comprehensively capturing the complex hand-object interactions,…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Chenyangguang Zhang , Yan Di , Ruida Zhang , Guangyao Zhai , Fabian Manhardt , Federico Tombari , Xiangyang Ji

Object functionality is often expressed through part articulation -- as when the two rigid parts of a scissor pivot against each other to perform the cutting function. Such articulations are often similar across objects within the same…

Computer Vision and Pattern Recognition · Computer Science 2018-09-21 Li Yi , Haibin Huang , Difan Liu , Evangelos Kalogerakis , Hao Su , Leonidas Guibas

Signed distance fields (SDFs) are a widely used implicit surface representation, with broad applications in computer graphics, computer vision, and applied mathematics. To reconstruct an explicit triangle mesh surface corresponding to an…

Graphics · Computer Science 2023-08-22 Silvia Sellán , Christopher Batty , Oded Stein

We present Gradient-SDF, a novel representation for 3D geometry that combines the advantages of implict and explicit representations. By storing at every voxel both the signed distance field as well as its gradient vector field, we enhance…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Christiane Sommer , Lu Sang , David Schubert , Daniel Cremers

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

The signed distance field is a popular implicit shape representation in robotics, providing geometric information about objects and obstacles in a form that can easily be combined with control, optimization and learning techniques. Most…

Robotics · Computer Science 2024-06-04 Yiming Li , Xuemin Chi , Amirreza Razmjoo , Sylvain Calinon

Scene Completion is the task of completing missing geometry from a partial scan of a scene. Most previous methods compute an implicit representation from range data using a Truncated Signed Distance Function (T-SDF) computed on a 3D grid as…

Computer Vision and Pattern Recognition · Computer Science 2022-12-05 Jean Pierre Richa , Jean-Emmanuel Deschaud , François Goulette , Nicolas Dalmasso

Human hands are highly articulated and versatile at handling objects. Jointly estimating the 3D poses of a hand and the object it manipulates from a monocular camera is challenging due to frequent occlusions. Thus, existing methods often…

Computer Vision and Pattern Recognition · Computer Science 2024-02-28 Haozhe Qi , Chen Zhao , Mathieu Salzmann , Alexander Mathis

We present a StyleGAN2-based deep learning approach for 3D shape generation, called SDF-StyleGAN, with the aim of reducing visual and geometric dissimilarity between generated shapes and a shape collection. We extend StyleGAN2 to 3D…

Computer Vision and Pattern Recognition · Computer Science 2022-06-27 Xin-Yang Zheng , Yang Liu , Peng-Shuai Wang , Xin Tong

We propose a differentiable sphere tracing algorithm to bridge the gap between inverse graphics methods and the recently proposed deep learning based implicit signed distance function. Due to the nature of the implicit function, the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Shaohui Liu , Yinda Zhang , Songyou Peng , Boxin Shi , Marc Pollefeys , Zhaopeng Cui

In this work, we present a new method for 3D face reconstruction from sparse-view RGB images. Unlike previous methods which are built upon 3D morphable models (3DMMs) with limited details, we leverage an implicit representation to encode…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Moran Li , Haibin Huang , Yi Zheng , Mengtian Li , Nong Sang , Chongyang Ma

Accurate and compact representation of signed distance functions (SDFs) of implicit surfaces is crucial for efficient storage, computation, and downstream processing of 3D geometry. In this work, we propose a general learning method for…

Graphics · Computer Science 2026-02-10 Bobo Lian , Zidong Wang , Dandan Wang , Chenjian Wu , Minxin Chen

This paper proposes a deep-learning-based method for recovering a signed distance function (SDF) of a given hypersurface represented by an implicit level set function. Using the flexibility of constructing a neural network, we use an…

Numerical Analysis · Mathematics 2023-05-16 Yesom Park , Chang hoon Song , Jooyoung Hahn , Myungjoo Kang

Accurate surface estimation is critical for downstream tasks in scientific simulation, and quantifying uncertainty in implicit neural 3D representations still remains a substantial challenge due to computational inefficiencies, scalability…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Rushil Desai

Localization of a robotic system within a previously mapped environment is important for reducing estimation drift and for reusing previously built maps. Existing techniques for geometry-based localization have focused on the description of…

Deep implicit functions (DIFs) have emerged as a potent and articulate means of representing 3D shapes. However, methods modeling object categories or non-rigid entities have mainly focused on single-object scenarios. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Yuchun Liu , Benjamin Planche , Meng Zheng , Zhongpai Gao , Pierre Sibut-Bourde , Fan Yang , Terrence Chen , Ziyan Wu

3D Reconstruction of moving articulated objects without additional information about object structure is a challenging problem. Current methods overcome such challenges by employing category-specific skeletal models. Consequently, they do…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Hao Zhang , Fang Li , Samyak Rawlekar , Narendra Ahuja

We propose a novel Deformed Implicit Field (DIF) representation for modeling 3D shapes of a category and generating dense correspondences among shapes. With DIF, a 3D shape is represented by a template implicit field shared across the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Yu Deng , Jiaolong Yang , Xin Tong