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Isogeometric Analysis (IGA) is a computational technique for the numerical approximation of partial differential equations (PDEs). This technique is based on the use of spline-type basis functions, that are able to hold a global smoothness…

Numerical Analysis · Mathematics 2020-09-04 Álvaro Pé de la Riva , Carmen Rodrigo , Francisco J. Gaspar

We propose an Isogeometric approach for smoothing on surfaces, namely estimating a function starting from noisy and discrete measurements. More precisely, we aim at estimating functions lying on a surface represented by NURBS, which are…

Methodology · Statistics 2016-04-20 Matthieu Wilhelm , Luca Dedè , Laura M. Sangalli , Pierre Wilhelm

Isogeometric analysis (IgA) uses the same class of basis functions for both, representing the geometry of the computational domain and approximating the solution. In practical applications, geometrical patches are used in order to get…

Numerical Analysis · Mathematics 2015-12-04 Ulrich Langer , Angelos Mantzaflaris , Stephen E. Moore , Ioannis Toulopoulos

We consider and discretize a mixed formulation for linear elasticity with weakly imposed symmetry in two and three dimensions. Whereas existing methods mainly deal with simplicial or polygonal meshes, we take advantage of isogeometric…

Numerical Analysis · Mathematics 2022-10-20 Jeremias Arf

We present SkexGen, a novel autoregressive generative model for computer-aided design (CAD) construction sequences containing sketch-and-extrude modeling operations. Our model utilizes distinct Transformer architectures to encode…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Xiang Xu , Karl D. D. Willis , Joseph G. Lambourne , Chin-Yi Cheng , Pradeep Kumar Jayaraman , Yasutaka Furukawa

We present a new software package, "HybridOctree_Hex," for adaptive all-hexahedral mesh generation based on hybrid octree and quality improvement with Jacobian control. The proposed HybridOctree_Hex begins by detecting curvatures and narrow…

Computational Geometry · Computer Science 2024-01-17 Hua Tong , Eni Halilaj , Yongjie Jessica Zhang

Given a 3D mesh, we aim to synthesize 3D textures that correspond to arbitrary textual descriptions. Current methods for generating and assembling textures from sampled views often result in prominent seams or excessive smoothing. To tackle…

Computer Vision and Pattern Recognition · Computer Science 2024-08-05 Dong Huo , Zixin Guo , Xinxin Zuo , Zhihao Shi , Juwei Lu , Peng Dai , Songcen Xu , Li Cheng , Yee-Hong Yang

Despite substantial progress in text-driven 3D human motion synthesis, generating realistic multi-person interaction sequences remains challenging. Notably, body inter-penetration is a pervasive issue from both data acquisition to the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-04 Nan Lei , Yuan-Ming Li , Ling-An Zeng , Liang Xu , Zhi-Wei Xia , Hui-Wen Huang , Fa-Ting Hong , Wei-Shi Zheng

Significant advancements have been made in semantic image synthesis in remote sensing. However, existing methods still face formidable challenges in balancing semantic controllability and diversity. In this paper, we present a Hybrid…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Junde Liu , Danpei Zhao , Bo Yuan , Wentao Li , Tian Li

The rise of mixed reality systems such as Microsoft HoloLens has prompted an increase in interest in the fields of 2D and 3D holography. Already applied in fields including telecommunications, imaging, projection, lithography, beam shaping…

Image and Video Processing · Electrical Eng. & Systems 2021-09-28 Peter J. Christopher , Andrew Kadis , George S. D. Gordon , Timothy D. Wilkinson

We present a low-cost data generation pipeline that integrates physics-based simulation, human demonstrations, and model-based planning to efficiently generate large-scale, high-quality datasets for contact-rich robotic manipulation tasks.…

The behavior of strong gravitational lens model software in the analysis of lens models is not necessarily consistent among the various software available, suggesting that the use of several models may enhance the understanding of the…

Instrumentation and Methods for Astrophysics · Physics 2015-02-13 Alan T. Lefor

Deep generative models have shown success in generating 3D shapes with different representations. In this work, we propose Neural Volumetric Mesh Generator(NVMG) which can generate novel and high-quality volumetric meshes. Unlike the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Yan Zheng , Lemeng Wu , Xingchao Liu , Zhen Chen , Qiang Liu , Qixing Huang

Variable-density cellular structures can overcome connectivity and manufacturability issues of topologically optimized structures, particularly those represented as discrete density maps. However, the optimization of such cellular…

Computational Engineering, Finance, and Science · Computer Science 2022-06-08 Jun Wang , Wei Wayne Chen , Daicong Da , Mark Fuge , Rahul Rai

Accurate simulation of the printing process is essential for improving print quality, reducing waste, and optimizing the printing parameters of extrusion-based additive manufacturing. Traditional additive manufacturing simulations are very…

Graphics · Computer Science 2025-07-23 Dhruv Gamdha , Kumar Saurabh , Baskar Ganapathysubramanian , Adarsh Krishnamurthy

This paper proposes an isogeometric boundary element method (IGBEM) to solve the electromagnetic scattering problems for three-dimensional doubly-periodic multi-layered structures. The main concerns are the constructions of (i) an open…

Numerical Analysis · Mathematics 2021-10-28 Toru Takahashi , Tetsuro Hirai , Hiroshi Isakari , Toshiro Matsumoto

Polygon meshes are an efficient representation of 3D geometry, and are of central importance in computer graphics, robotics and games development. Existing learning-based approaches have avoided the challenges of working with 3D meshes,…

Graphics · Computer Science 2020-02-26 Charlie Nash , Yaroslav Ganin , S. M. Ali Eslami , Peter W. Battaglia

A new methodology in isogeometric analysis (IGA) is presented. This methodology delivers low-cost variable-scale approximations (surrogates) of the matrices which IGA conventionally requires to be computed from element-scale quadrature…

Numerical Analysis · Mathematics 2020-08-11 Daniel Drzisga , Brendan Keith , Barbara Wohlmuth

Isogeometric analysis was applied very successfully to many problem classes like linear elasticity, heat transfer and incompressible flow problems but its application to compressible flows is very rare. However, its ability to accurately…

Numerical Analysis · Mathematics 2018-10-01 Andrzej Jaeschke , Matthias Möller

Synthetic data is essential for assessing clustering techniques, complementing and extending real data, and allowing for more complete coverage of a given problem's space. In turn, synthetic data generators have the potential of creating…

Machine Learning · Computer Science 2024-03-06 Nuno Fachada , Diogo de Andrade
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