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The problem of polycube construction or deformation is an essential problem in computer graphics. In this paper, we present a robust, simple, efficient and automatic algorithm to deform the meshes of arbitrary shapes into their polycube…

Graphics · Computer Science 2018-07-24 Hui Zhao , Na Lei , Xuan Li , Peng Zeng , Ke Xu , Xianfeng Gu

In this paper, we present a novel algorithm that integrates deep learning with the polycube method (DL-Polycube) to generate high-quality hexahedral (hex) meshes, which are then used to construct volumetric splines for isogeometric…

Computational Geometry · Computer Science 2024-10-25 Yuxuan Yu , Yuzhuo Fang , Hua Tong , Yongjie Jessica Zhang

Standard PolyCube-based hexahedral (hex) meshing methods aim to deform the input domain into an axis-aligned PolyCube volume with integer corners; if this deformation is bijective, then applying the inverse map to the voxelized PolyCube…

Graphics · Computer Science 2021-09-15 Lingxiao Li , Paul Zhang , Dmitriy Smirnov , S. Mazdak Abulnaga , Justin Solomon

Polycube segmentations for 3D models effectively support a wide variety of applications such as seamless texture mapping, spline fitting, structured multi-block grid generation, and hexahedral mesh construction. However, the automated…

Graphics · Computer Science 2025-09-03 Maxim Snoep , Bettina Speckmann , Kevin Verbeek

Hexahedral meshes are widely used in simulation pipelines, yet automatic generation remains challenging for complex CAD geometries. Polycube-based hexahedral meshing is a representative approach due to its regular, parameterization-friendly…

Graphics · Computer Science 2026-05-21 Lu He , Qitao Deng , Junjiang Deng , Liangbin Deng , Yanjun Liang , Wenting Yang , Guoqiang Wang , Na Lei

Mapping a shape to some parametric domain is a fundamental tool in graphics and scientific computing. In practice, a map between two shapes is commonly represented by two meshes with same connectivity and different embedding. The standard…

Computational Geometry · Computer Science 2020-12-16 Marco Livesu

Semi-supervised learning has emerged as a powerful paradigm for leveraging large amounts of unlabeled data to improve the performance of machine learning models when labeled data are scarce. Among existing approaches, methods derived from…

Machine Learning · Computer Science 2026-04-29 Ali Aghababaei-Harandi , Aude Sportisse , Massih-Reza Amini

Multi-label learning is concerned with the classification of data with multiple class labels. This is in contrast to the traditional classification problem where every data instance has a single label. Due to the exponential size of output…

Machine Learning · Computer Science 2018-12-27 Vikas Kumar , Arun K Pujari , Vineet Padmanabhan , Venkateswara Rao Kagita

Polycube structures provide parametric domains for all-hexahedral (all-hex) mesh generation and analysis-suitable volumetric spline construction in isogeometric analysis (IGA). Recent learning-based polycube pipelines have improved…

Computational Engineering, Finance, and Science · Computer Science 2026-04-21 Yuxuan Yu , Jiashuo Liu , Hua Tong , Honghua Lou , Yongjie Jessica Zhang

Immersed finite element methods provide a convenient analysis framework for problems involving geometrically complex domains, such as those found in topology optimization and microstructures for engineered materials. However, their…

Numerical Analysis · Mathematics 2025-01-30 Nils Wunsch , Keenan Doble , Mathias R. Schmidt , Lise Noël , John A. Evans , Kurt Maute

Evolutionary computation methods have been successfully applied to neural networks since two decades ago, while those methods cannot scale well to the modern deep neural networks due to the complicated architectures and large quantities of…

Neural and Evolutionary Computing · Computer Science 2019-03-12 Yanan Sun , Bing Xue , Mengjie Zhang , Gary G. Yen

Isocontouring is one of the most widely used visualization techniques. However, many popular contouring algorithms were created prior to the advent of ubiquitous parallel approaches, such as multi-core, shared memory computing systems. With…

Graphics · Computer Science 2024-01-29 Will Schroeder , Spiros Tsalikis , Michael Halle , Sarah Frisken

Systems which incrementally create 3D semantic maps from image sequences must store and update representations of both geometry and semantic entities. However, while there has been much work on the correct formulation for geometrical…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Shuaifeng Zhi , Michael Bloesch , Stefan Leutenegger , Andrew J. Davison

Point feature map labeling is a geometric problem, in which a set of input points must be labeled with a set of disjoint rectangles (the bounding boxes of the label texts). Typically, labeling models either use internal labels, which must…

Computational Geometry · Computer Science 2015-01-28 Maarten Löffler , Martin Nöllenburg , Frank Staals

Computational analysis with the finite element method requires geometrically accurate meshes. It is well known that high-order meshes can accurately capture curved surfaces with fewer degrees of freedom in comparison to low-order meshes.…

Mathematical Software · Computer Science 2024-01-30 Ketan Mittal , Veselin A. Dobrev , Patrick Knupp , Tzanio Kolev , Franck Ledoux , Claire Roche , Vladimir Z. Tomov

This work considers gradient-based mesh optimization, where we iteratively optimize for a 3D surface mesh by representing it as the isosurface of a scalar field, an increasingly common paradigm in applications including photogrammetry,…

In recent years, deep neural network is widely used in machine learning. The multi-class classification problem is a class of important problem in machine learning. However, in order to solve those types of multi-class classification…

Machine Learning · Computer Science 2018-06-08 Qizhi Zhang , Kuang-Chih Lee , Hongying Bao , Yuan You , Wenjie Li , Dongbai Guo

We propose incorporating human labelers in a model fine-tuning system that provides immediate user feedback. In our framework, human labelers can interactively query model predictions on unlabeled data, choose which data to label, and see…

Human-Computer Interaction · Computer Science 2019-11-18 Caleb Robinson , Anthony Ortiz , Kolya Malkin , Blake Elias , Andi Peng , Dan Morris , Bistra Dilkina , Nebojsa Jojic

Segmentation of a colour image composed of different kinds of texture regions can be a hard problem, namely to compute for an exact texture fields and a decision of the optimum number of segmentation areas in an image when it contains…

Artificial Intelligence · Computer Science 2007-05-23 Vitorino Ramos , Fernando Muge

Legible labels should not overlap with other labels and other marks in a chart. When a chart contains a large number of data points, manually positioning these labels for each data point in the chart is a tedious task. A labeling algorithm…

Graphics · Computer Science 2024-08-05 Chanwut Kittivorawong
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