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Surfaces and curves play an important role in geometric design. In recent years, problem of finding a surface passing through a given curve have attracted much interest. In the present paper, we propose a new method to construct a surface…

Differential Geometry · Mathematics 2015-03-19 Gulnur Saffak Atalay , Fatma Guler , Ergin Bayram , Emin Kasap

This paper presents a method to obtain geometric registrations between high-genus ($g\geq 1$) surfaces. Surface registration between simple surfaces, such as simply-connected open surfaces, has been well studied. However, very few works…

Computational Geometry · Computer Science 2014-03-27 Chengfeng Wen , Lok Ming Lui

Man-made objects usually exhibit descriptive curved features (i.e., curve networks). The curve network of an object conveys its high-level geometric and topological structure. We present a framework for extracting feature curve networks…

Graphics · Computer Science 2016-03-30 Yuanhao Cao , Liangliang Nan , Peter Wonka

The hybrid high-order method is a modern numerical framework for the approximation of elliptic PDEs. We present here an extension of the hybrid high-order method to meshes possessing curved edges/faces. Such an extension allows us to…

Numerical Analysis · Mathematics 2023-01-31 Liam Yemm

Recent techniques have been successful in reconstructing surfaces as level sets of learned functions (such as signed distance fields) parameterized by deep neural networks. Many of these methods, however, learn only closed surfaces and are…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 David Palmer , Dmitriy Smirnov , Stephanie Wang , Albert Chern , Justin Solomon

Most machine learning-based coronary artery segmentation methods represent the vascular lumen surface in an implicit way by the centerline and the associated lumen radii, which makes the subsequent modeling process to generate a whole piece…

Computer Vision and Pattern Recognition · Computer Science 2016-06-10 Haoyin Zhou , James K. Min , Guanglei Xiong

In this article, we present a mechanism and related path planning algorithm to construct light-duty barriers out of extruded, inflated tubes weaved around existing environmental features. Our extruded tubes are based on everted vine-robots…

Robotics · Computer Science 2023-10-31 H. J. Kim , H. Abdel-Raziq , X. Liu , A. Y. Siskovic , S. Patil , K. H. Petersen , H. L. Kao

Surfaces and curves play an important role in geometric design. In recent years, problem of finding a surface passing through a given curve has attracted much interest. In the present paper, we propose a new method to construct a surface…

Differential Geometry · Mathematics 2015-02-16 Fatma Güler , Gülnur Şaffak Atalay , Ergin Bayram , Emin Kasap

Existing curved-layer-based process planning methods for multi-axis manufacturing address collisions only indirectly and generate toolpaths in a post-processing step, leaving toolpath geometry uncontrolled during optimization. We present an…

Robotics · Computer Science 2026-04-22 Neelotpal Dutta , Tianyu Zhang , Tao Liu , Yongxue Chen , Charlie C. L. Wang

The need to compute the intersections between a line and a high-order curve or surface arises in a large number of finite element applications. Such intersection problems are easy to formulate but hard to solve robustly. We introduce a…

Numerical Analysis · Mathematics 2020-11-09 Xiao Xiao , Laurent Buse , Fehmi Cirak

The automatic shape control of deformable objects is a challenging (and currently hot) manipulation problem due to their high-dimensional geometric features and complex physical properties. In this study, a new methodology to manipulate…

Robotics · Computer Science 2021-04-12 Jiaming Qi , Guangfu Ma , Peng Zhou , Haibo Zhang , Yueyong Lyu , David Navarro-Alarcon

The advancements in neural rendering have increased the need for techniques that enable intuitive editing of 3D objects represented as neural implicit surfaces. This paper introduces a novel neural algorithm for parameterizing neural…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Baixin Xu , Jiangbei Hu , Fei Hou , Kwan-Yee Lin , Wayne Wu , Chen Qian , Ying He

Seamless global parametrization of surfaces is a key operation in geometry processing, e.g. for high-quality quad mesh generation. A common approach is to prescribe the parametric domain structure, in particular the locations of…

Graphics · Computer Science 2021-04-13 Marcel Campen , Hanxiao Shen , Jiaran Zhou , Denis Zorin

Large outliers break down linear and nonlinear regression models. Robust regression methods allow one to filter out the outliers when building a model. By replacing the traditional least squares criterion with the least trimmed squares…

Optimization and Control · Mathematics 2012-06-07 Gleb Beliakov , Andrei Kelarev , John Yearwood

We propose a method that morphs high-orger meshes such that their boundaries and interfaces coincide/align with implicitly defined geometries. Our focus is particularly on the case when the target surface is prescribed as the zero…

Computational Geometry · Computer Science 2023-02-17 Jorge-Luis Barrera , Tzanio Kolev , Ketan Mittal , Vladimir Tomov

Many real-world objects are designed by smooth curves, especially in the domain of aerospace and ship, where aerodynamic shapes (e.g., airfoils) and hydrodynamic shapes (e.g., hulls) are designed. To facilitate the design process of those…

Machine Learning · Computer Science 2021-01-06 Wei Chen , Mark Fuge

In this work, we present a geometry-based grasping algorithm that is capable of efficiently generating both top and side grasps for unknown objects, using a single view RGB-D camera, and of selecting the most promising one. We demonstrate…

Robotics · Computer Science 2019-07-19 Brice Denoun , Beatriz Leon , Claudio Zito , Rustam Stolkin , Lorenzo Jamone , Miles Hansard

This paper proposes a unified vision-based manipulation framework using image contours of deformable/rigid objects. Instead of using human-defined cues, the robot automatically learns the features from processed vision data. Our method…

Robotics · Computer Science 2021-05-06 Jihong Zhu , David Navarro-Alarcon , Robin Passama , Andrea Cherubini

Within the context of 5-axis free-form machining, CAM software offers various ways of tool-path generation, depending on the geometry of the surface to be machined. Therefore, as the manufactured surface quality results from the choice of…

Other Computer Science · Computer Science 2011-06-13 Yann Quinsat , Sylvain Lavernhe , Claire Lartigue

We present a novel application of neural networks to design improved mixing elements for single-screw extruders. Specifically, we propose to use neural networks in numerical shape optimization to parameterize geometries. Geometry…

Computational Engineering, Finance, and Science · Computer Science 2023-02-13 Jaewook Lee , Sebastian Hube , Stefanie Elgeti
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