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Semi-supervised learning is a challenging problem which aims to construct a model by learning from limited labeled examples. Numerous methods for this task focus on utilizing the predictions of unlabeled instances consistency alone to…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Peng Tu , Yawen Huang , Feng Zheng , Zhenyu He , Liujun Cao , Ling Shao

We introduce the isogeometric shape optimisation of thin shell structures using subdivision surfaces. Both triangular Loop and quadrilateral Catmull-Clark subdivision schemes are considered for geometry modelling and finite element…

Numerical Analysis · Mathematics 2019-05-21 Kosala Bandara , Fehmi Cirak

Self-supervised learning methods have witnessed a recent surge of interest after proving successful in multiple application fields. In this work, we leverage these techniques, and we propose 3D versions for five different self-supervised…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Aiham Taleb , Winfried Loetzsch , Noel Danz , Julius Severin , Thomas Gaertner , Benjamin Bergner , Christoph Lippert

We propose conformal generative modeling, a framework for generative modeling on 2D surfaces approximated by discrete triangle meshes. Our approach leverages advances in discrete conformal geometry to develop a map from a source triangle…

Machine Learning · Computer Science 2023-03-21 Victor Dorobantu , Charlotte Borcherds , Yisong Yue

We present a prior for manifold structured data, such as surfaces of 3D shapes, where deep neural networks are adopted to reconstruct a target shape using gradient descent starting from a random initialization. We show that surfaces…

Computer Vision and Pattern Recognition · Computer Science 2020-04-10 Matheus Gadelha , Rui Wang , Subhransu Maji

Excellent performance has been achieved on instance segmentation but the quality on the boundary area remains unsatisfactory, which leads to a rising attention on boundary refinement. For practical use, an ideal post-processing refinement…

Computer Vision and Pattern Recognition · Computer Science 2022-03-28 Chenming Zhu , Xuanye Zhang , Yanran Li , Liangdong Qiu , Kai Han , Xiaoguang Han

The paper is concerned with the problem of shape preserving interpolatory subdivision. For arbitrarily spaced, planar input data an efficient non-linear subdivision algorithm is presented that results in $G^1$ limit curves, reproduces conic…

Numerical Analysis · Mathematics 2010-04-09 Gudrun Albrecht , Lucia Romani

Recent studies on transfer learning have shown that selectively fine-tuning a subset of layers or customizing different learning rates for each layer can greatly improve robustness to out-of-distribution (OOD) data and retain generalization…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Junjiao Tian , Xiaoliang Dai , Chih-Yao Ma , Zecheng He , Yen-Cheng Liu , Zsolt Kira

Toolpath planning is an important task in laser aided additive manufacturing (LAAM) and other direct energy deposition (DED) processes. The deposition toolpaths for complex geometries with slender structures can be further optimized by…

Graphics · Computer Science 2020-06-29 N. Liu , K. Ren , W. Zhang , Y. F. Zhang , Y. X. Chew , J. Y. H. Fuh , G. J. Bi

Many surface reconstruction methods incorporate normal integration, which is a process to obtain a depth map from surface gradients. In this process, the input may represent a surface with discontinuities, e.g., due to self-occlusion. To…

Computer Vision and Pattern Recognition · Computer Science 2024-04-05 Hyomin Kim , Yucheol Jung , Seungyong Lee

Curved structures in soft matter and biological systems commonly emerge as a result of self-assembly processes where building blocks aggregate in a controlled manner, giving rise to specific system structure and properties. Learning how to…

Soft Condensed Matter · Physics 2025-02-24 Andraž Gnidovec , Simon Čopar

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

We present an approach to inform the reconstruction of a surface from a point scan through topological priors. The reconstruction is based on basis functions which are optimized to provide a good fit to the point scan while satisfying…

Computational Geometry · Computer Science 2021-09-17 Rickard Brüel-Gabrielsson , Vignesh Ganapathi-Subramanian , Primoz Skraba , Leonidas J. Guibas

In this article, we construct complete embedded constant mean curvature surfaces in $\mb{R}^3$ with freely prescribed genus and any number of ends greater than or equal to four. Heuristically, the surfaces are obtained by resolving finitely…

Differential Geometry · Mathematics 2023-09-18 Stephen. J. Kleene

The paper proposes, an algorithm to produce novel m-point (for any integer m>=2) binary non-stationary subdivision scheme. It has been developed using uniform trigonometric B-spline basis functions and smoothness is being analyzed using the…

Numerical Analysis · Mathematics 2013-02-06 Shahid S. Siddiqi , Muhammad Younis

Semi-supervised learning is a challenging problem which aims to construct a model by learning from a limited number of labeled examples. Numerous methods have been proposed to tackle this problem, with most focusing on utilizing the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-02 Peng Tu , Yawen Huang , Rongrong Ji , Feng Zheng , Ling Shao

Graph Neural Networks (GNN) have been extensively used to extract meaningful representations from graph structured data and to perform predictive tasks such as node classification and link prediction. In recent years, there has been a lot…

Image and Video Processing · Electrical Eng. & Systems 2020-07-10 Arijit Sehanobish , Neal G. Ravindra , David van Dijk

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

Depth acquisition, based on active illumination, is essential for autonomous and robotic navigation. LiDARs (Light Detection And Ranging) with mechanical, fixed, sampling templates are commonly used in today's autonomous vehicles. An…

Computer Vision and Pattern Recognition · Computer Science 2019-08-06 Adam Wolff , Shachar Praisler , Ilya Tcenov , Guy Gilboa

We provide algorithms involving edge slides, for a connected simple graph to evolve in a finite number of steps to another connected simple graph in a prescribed configuration, and for the regularization of such a graph by the minimization…

Combinatorics · Mathematics 2010-02-08 Paul Baird , Marius Tiba