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We present a novel framework for motion planning in dynamic environments that accounts for the predicted trajectories of moving objects in the scene. We explore the use of composite signed-distance fields in motion planning and detail how…

Robotics · Computer Science 2022-02-08 Mark Nicholas Finean , Wolfgang Merkt , Ioannis Havoutis

Rapid and accurate simulations of fluid dynamics around complicated geometric bodies are critical in a variety of engineering and scientific applications, including aerodynamics and biomedical flows. However, while scientific machine…

We propose SDFDiff, a novel approach for image-based shape optimization using differentiable rendering of 3D shapes represented by signed distance functions (SDFs). Compared to other representations, SDFs have the advantage that they can…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Yue Jiang , Dantong Ji , Zhizhong Han , Matthias Zwicker

Dense real-time tracking and mapping from RGB-D images is an important tool for many robotic applications, such as navigation or grasping. The recently presented Directional Truncated Signed Distance Function (DTSDF) is an augmentation of…

Computer Vision and Pattern Recognition · Computer Science 2021-08-19 Malte Splietker , Sven Behnke

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

Ensuring safe robot operation in cluttered and dynamic environments remains a fundamental challenge. While control barrier functions provide an effective framework for real-time safety filtering, their performance critically depends on the…

Robotics · Computer Science 2026-02-12 Haocheng Zhao , Lukas Brunke , Oliver Lagerquist , Siqi Zhou , Angela P. Schoellig

Signed Distance Fields (SDFs) for surface representation are commonly generated offline and subsequently loaded into interactive applications like games. Since they are not updated every frame, they only provide a rigid surface…

Graphics · Computer Science 2022-10-11 Yu Wei Tan , Nicholas Chua , Clarence Koh , Anand Bhojan

We address the problem of clothed human reconstruction from a single image or uncalibrated multi-view images. Existing methods struggle with reconstructing detailed geometry of a clothed human and often require a calibrated setting for…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Yukang Cao , Kai Han , Kwan-Yee K. Wong

Reconstructing 3D vehicles from noisy and sparse partial point clouds is of great significance to autonomous driving. Most existing 3D reconstruction methods cannot be directly applied to this problem because they are elaborately designed…

Computer Vision and Pattern Recognition · Computer Science 2023-10-02 Yibo Liu , Kelly Zhu , Guile Wu , Yuan Ren , Bingbing Liu , Yang Liu , Jinjun Shan

Neural signed distance functions (SDFs) have shown remarkable capability in representing geometry with details. However, without signed distance supervision, it is still a challenge to infer SDFs from point clouds or multi-view images using…

Computer Vision and Pattern Recognition · Computer Science 2023-05-22 Baorui Ma , Junsheng Zhou , Yu-Shen Liu , Zhizhong Han

This paper presents a novel post-processing methodology for extracting high-quality geometries from density-based topology optimization results. Current post-processing approaches often struggle to simultaneously achieve smooth boundaries,…

Computational Engineering, Finance, and Science · Computer Science 2025-12-09 Ondřej Ježek , Ján Kopačka , Martin Isoz , Dušan Gabriel , Pavel Maršálek , Martin Šotola , Radim Halama

State-of-the-art neural implicit surface representations have achieved impressive results in indoor scene reconstruction by incorporating monocular geometric priors as additional supervision. However, we have observed that multi-view…

Computer Vision and Pattern Recognition · Computer Science 2024-05-02 Ziyi Chen , Xiaolong Wu , Yu Zhang

Representing, comparing, and measuring the distance between probability distributions is a key task in computational statistics and machine learning. The choice of representation and the associated distance determine properties of the…

Machine Learning · Statistics 2026-02-26 Masha Naslidnyk

Neural 3D implicit representations learn priors that are useful for diverse applications, such as single- or multiple-view 3D reconstruction. A major downside of existing approaches while rendering an image is that they require evaluating…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Tarun Yenamandra , Ayush Tewari , Nan Yang , Florian Bernard , Christian Theobalt , Daniel Cremers

Reconstructing objects with realistic materials from multi-view images is problematic, since it is highly ill-posed. Although the neural reconstruction approaches have exhibited impressive reconstruction ability, they are designed for…

Graphics · Computer Science 2024-05-07 Jia Li , Lu Wang , Lei Zhang , Beibei Wang

We enlarge the number of available functional depths by introducing the kernelized functional spatial depth (KFSD). KFSD is a local-oriented and kernel-based version of the recently proposed functional spatial depth (FSD) that may be useful…

Methodology · Statistics 2015-01-09 Carlo Sguera , Pedro Galeano , Rosa Lillo

We propose a novel variational method to compute a highly accurate global signed distance function (SDF) to a given point cloud. To this end, the jump set of the gradient of the SDF, which coincides with the medial axis of the surface, is…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Samuel Weidemaier , Christoph Norden-Smoch , Martin Rumpf

We propose a method to interpolate Signed Distance Function (SDF) data from a discrete set of samples. Unlike prior work, our approach ensures that the new SDF data values are fully consistent with the input and each other, such that the…

Graphics · Computer Science 2026-05-05 Letao Chen , Sanju Mupparaju , Christopher Batty , Silvia Sellán , Oded Stein

Reconstructing continuous surfaces from 3D point clouds is a fundamental operation in 3D geometry processing. Several recent state-of-the-art methods address this problem using neural networks to learn signed distance functions (SDFs). In…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Baorui Ma , Zhizhong Han , Yu-Shen Liu , Matthias Zwicker

Signed Distance Functions (SDFs) are vital implicit representations to represent high fidelity 3D surfaces. Current methods mainly leverage a neural network to learn an SDF from various supervisions including signed distances, 3D point…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Chao Chen , Yu-Shen Liu , Zhizhong Han