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In the present work, a new computational framework for structural topology optimization based on the concept of moving deformable components is proposed. Compared with the traditional pixel or node point-based solution framework, the…

Computational Engineering, Finance, and Science · Computer Science 2015-06-23 Xu Guo , Weisheng Zhang , Wenliang Zhong

This paper introduces a new approach based on a coupled representation and a neural volume optimization to implicitly perform 3D shape editing in latent space. This work has three innovations. First, we design the coupled neural shape (CNS)…

Computer Vision and Pattern Recognition · Computer Science 2024-02-06 Jingyu Hu , Ka-Hei Hui , Zhengzhe Liu , Hao Zhang , Chi-Wing Fu

Designs generated by density-based topology optimization (TO) exhibit jagged and/or smeared boundaries, which forms an obstacle to their integration with existing CAD tools. Addressing this problem by smoothing or manual design adjustments…

Computational Engineering, Finance, and Science · Computer Science 2020-04-14 Marco K. Swierstra , Deepak K. Gupta , Matthijs Langelaar

This paper is concerned with inserting three-dimensional computer-aided design (CAD) geometries into meshes composed of hexahedral elements using a volume fraction representation. An adaptive procedure for doing so is presented. The…

Numerical Analysis · Mathematics 2025-11-07 Brian N. Granzow , Stephen D. Bond , Michael J. Powell , Daniel A. Ibanez

Isogeometric analysis (IGA) has emerged as a promising approach in the field of structural optimization, benefiting from the seamless integration between the computer-aided design (CAD) geometry and the analysis model by employing…

Optimization and Control · Mathematics 2024-07-02 Han Zhao , David Kamensky , John T. Hwang , Jiun-Shyan Chen

We propose a compact and efficient tetrahedral mesh representation to improve the ray-tracing performance. We reorder tetrahedral mesh data using a space-filling curve to improve cache locality. Most importantly, we propose an efficient ray…

Graphics · Computer Science 2021-03-04 Aytek Aman , Serkan Demirci , Uğur Güdükbay

The lack of fa\c{c}ade structures in photogrammetric mesh models renders them inadequate for meeting the demands of intricate applications. Moreover, these mesh models exhibit irregular surfaces with considerable geometric noise and texture…

Computer Vision and Pattern Recognition · Computer Science 2023-06-08 Libin Wang , Han Hu , Qisen Shang , Bo Xu , Qing Zhu

Implicit Neural Representations (INRs) have been demonstrated to achieve state-of-the-art compression of a broad range of modalities such as images, videos, 3D surfaces, and audio. Most studies have focused on building neural counterparts…

Computational Geometry · Computer Science 2025-12-19 Sai Karthikey Pentapati , Gregoire Phillips , Alan Bovik

Although shape correspondence is a central problem in geometry processing, most methods for this task apply only to two-dimensional surfaces. The neglected task of volumetric correspondence--a natural extension relevant to shapes extracted…

Graphics · Computer Science 2022-11-29 S. Mazdak Abulnaga , Oded Stein , Polina Golland , Justin Solomon

Many solid mechanics problems on complex geometries are conventionally solved using discrete boundary methods. However, such an approach can be cumbersome for problems involving evolving domain boundaries due to the need to track boundaries…

Numerical Analysis · Mathematics 2025-06-06 Vinamra Agrawal , Brandon Runnels

We exploit level set topology optimization to find the optimal material distribution for metamaterial-based heat manipulators. The level set function, geometry, and solution field are parameterized using the non-uniform rational B-spline…

Computational Engineering, Finance, and Science · Computer Science 2023-03-08 Chintan Jansari , Stéphane P. A. Bordas , Elena Atroshchenko

The vast majority of mesh-based modelling applications iteratively transform the mesh vertices under prescribed geometric conditions. This occurs in particular in methods cycling through the constraint set such as Position-Based Dynamics…

Numerical Analysis · Mathematics 2020-11-25 Carlos Arango Duque , Adrien Bartoli

The isometric embedding of surfaces in three-dimensional space is fundamental to various physical systems, from elastic sheets to programmable materials. While continuous surfaces typically admit unique solutions under suitable boundary…

Disordered Systems and Neural Networks · Physics 2025-05-13 Kyungeun Kim , Christian D. Santangelo

Tube-like surfaces are widely encountered in geometry processing, engineering structures, and medical anatomy, yet their intrinsic longitudinal and circumferential topology is not well preserved by conventional planar annular or rectangular…

Graphics · Computer Science 2026-05-19 Shunyu Yao , Gary P. T. Choi

In this paper we present a mixed projection- and density-based topology optimization approach. The aim is to combine the benefits of both parametrizations: the explicit geometric representation provides specific controls on certain design…

Computational Engineering, Finance, and Science · Computer Science 2019-10-09 Nicolò Pollini , Oded Amir

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

Triangle meshes are fundamental to 3D applications, enabling efficient modification and rasterization while maintaining compatibility with standard rendering pipelines. However, current automatic mesh generation methods typically rely on…

Computer Vision and Pattern Recognition · Computer Science 2025-08-15 Yuxuan Wang , Xuanyu Yi , Haohan Weng , Qingshan Xu , Xiaokang Wei , Xianghui Yang , Chunchao Guo , Long Chen , Hanwang Zhang

Computational Fluid Dynamics (CFD) is widely used in different engineering fields, but accurate simulations are dependent upon proper meshing of the simulation domain. While highly refined meshes may ensure precision, they come with high…

Graphics · Computer Science 2023-08-16 Amin Heyrani Nobari , Justin Rey , Suhas Kodali , Matthew Jones , Faez Ahmed

Creating tetrahedral meshes with anatomically accurate surfaces is critically important for a wide range of model-based neuroimaging modalities. However, computationally efficient brain meshing algorithms and software are greatly lacking.…

Medical Physics · Physics 2017-08-31 Anh Phong Tran , Qianqian Fang

Shape optimisation of thin-shell structures requires a flexible, differentiable geometric representation suitable for gradient-based optimisation. We propose a neural parametric representation (NRep) for the shell mid-surface based on a…

Numerical Analysis · Mathematics 2026-04-09 Xiao Xiao , Fehmi Cirak