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In this paper we investigate a local surface approximation, the Weighted Quasi Interpolant Spline Approximation (wQISA), specifically designed for large and noisy point clouds. We briefly describe the properties of the wQISA representation…

数值分析 · 数学 2024-09-23 Andrea Raffo , Silvia Biasotti

This paper presents a novel computational scheme for sensitivity analysis of the velocity field in the level set method using the discrete adjoint method. The velocity field is represented in B-spline space, and the adjoint equations are…

数值分析 · 数学 2023-08-03 Hao Deng , Kazu Saitou

Most of the state-of-the-art indirect visual SLAM methods are based on the sparse point features. However, it is hard to find enough reliable point features for state estimation in the case of low-textured scenes. Line features are abundant…

机器人学 · 计算机科学 2021-02-16 Xin Ma , Xinwu Liang

Developing deep learning techniques for geometric data is an active and fruitful research area. This paper tackles the problem of sphere-type surface learning by developing a novel surface-to-image representation. Using this representation…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Niv Haim , Nimrod Segol , Heli Ben-Hamu , Haggai Maron , Yaron Lipman

Boundary Representation (B-Rep) is the de facto representation of 3D solids in Computer-Aided Design (CAD). B-Rep solids are defined with a set of NURBS (Non-Uniform Rational B-Splines) surfaces forming a closed volume. To represent a…

计算机视觉与模式识别 · 计算机科学 2024-11-19 Jiajie Fan , Babak Gholami , Thomas Bäck , Hao Wang

Neural networks are predominantly trained using gradient-based methods, yet in many applications their final predictions remain far from the accuracy attainable within the model's expressive capacity. We introduce Linearized Subspace…

机器学习 · 计算机科学 2026-01-21 Wenbo Cao , Weiwei Zhang

We introduce adaptive particle refinement for compressible smoothed particle hydrodynamics (SPH). SPH calculations have the natural advantage that resolution follows mass, but this is not always optimal. Our implementation allows the user…

天体物理仪器与方法 · 物理学 2024-09-19 Rebecca Nealon , Daniel Price

Construction of spline surfaces from given boundary curves is one of the classical problems in computer aided geometric design, which regains much attention in isogeometric analysis in recent years and is called domain parameterization.…

计算几何 · 计算机科学 2017-08-07 Maodong Pan , Falai Chen

3D reconstruction of highly deformable surfaces (e.g. cloths) from monocular RGB videos is a challenging problem, and no solution provides a consistent and accurate recovery of fine-grained surface details. To account for the ill-posed…

图形学 · 计算机科学 2025-03-27 Navami Kairanda , Marc Habermann , Shanthika Naik , Christian Theobalt , Vladislav Golyanik

In other FICO Technical Papers, I have shown how to fit Generalized Additive Models (GAM) with shape constraints using quadratic programming applied to B-Spline component functions. In this paper, I extend the method to Robust Least Squares…

统计方法学 · 统计学 2020-03-03 Bruce Hoadley

B\'ezier curves provide the basic building blocks of graphic design in 2D. In this paper, we port B\'ezier curves to manifolds. We support the interactive drawing and editing of B\'ezier splines on manifold meshes with millions of…

图形学 · 计算机科学 2021-08-24 Claudio Mancinelli , Giacomo Nazzaro , Fabio Pellacini , Enrico Puppo

Maintaining stable and accurate localization during fast motion or on rough terrain remains highly challenging for mobile robots with onboard resources. Currently, multi-sensor fusion methods based on continuous-time representation offer a…

机器人学 · 计算机科学 2026-04-07 Lei Zhao , Xingyi Li , Tianchen Deng , Chuan Cao , Han Zhang , Weidong Chen

A framework for parameterization of the light response functions (LRFs) in a scintillation camera is presented. It is based on approximation of the measured or simulated photosensor response with weighted sums of uniform cubic B-splines or…

仪器与探测器 · 物理学 2016-12-23 V. Solovov , A. Morozov , V. Chepel , V. Domingos , R. Martins

Shuffled linear regression (SLR) seeks to estimate latent features through a linear transformation, complicated by unknown permutations in the measurement dimensions. This problem extends traditional least-squares (LS) and Least Absolute…

统计理论 · 数学 2025-04-17 Hang Liu , Anna Scaglione

We introduce a low-rank framework for adaptive isogeometric analysis with truncated hierarchical B-splines (THB-splines) that targets the main bottleneck of local refinement: memory- and time-intensive matrix assembly once the global…

数值分析 · 数学 2025-09-12 Tom-Christian Riemer , Martin Stoll

3D surface reconstruction from point clouds is a key step in areas such as content creation, archaeology, digital cultural heritage, and engineering. Current approaches either try to optimize a non-data-driven surface representation to fit…

计算机视觉与模式识别 · 计算机科学 2024-02-09 Philipp Erler , Lizeth Fuentes , Pedro Hermosilla , Paul Guerrero , Renato Pajarola , Michael Wimmer

Remote sensing measurements have been an important data source of ocean surface roughness. Scatterometers operating at moderate and high incidence angles provide information on the Bragg resonance spectral components of the ocean surface…

大气与海洋物理 · 物理学 2020-10-27 Paul A. Hwang , Thomas L. Ainsworth , Jeffrey D. Ouellette

The light field faithfully records the spatial and angular configurations of the scene, which facilitates a wide range of imaging possibilities. In this work, we propose an LF synthesis algorithm which renders high quality novel LF views…

计算机视觉与模式识别 · 计算机科学 2019-03-26 Jie Chen , Lap-Pui Chau , Junhui Hou

Most prior work represents the shapes of point clouds by coordinates. However, it is insufficient to describe the local geometry directly. In this paper, we present \textbf{RepSurf} (representative surfaces), a novel representation of point…

计算机视觉与模式识别 · 计算机科学 2022-05-16 Haoxi Ran , Jun Liu , Chengjie Wang

Despite the significant results on synthetic noise under simplified assumptions, most self-supervised denoising methods fail under real noise due to the strong spatial noise correlation, including the advanced self-supervised blind-spot…

计算机视觉与模式识别 · 计算机科学 2023-04-04 Zichun Wang , Ying Fu , Ji Liu , Yulun Zhang