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Recent advances in 3D Gaussian Splatting (3DGS) have enabled real-time, photorealistic scene reconstruction. However, conventional 3DGS frameworks typically rely on sparse point clouds derived from Structure-from-Motion (SfM), which…

Graphics · Computer Science 2026-03-25 Yan Fang , Jianfei Ge , Jiangjian Xiao

Triply Periodic Minimal Surface (TPMS) structures are attracting growing attention as promising geometries for next-generation high-performance heat exchangers (HXs), due to their continuous flow paths and high surface-area-to-volume ratio…

Optimization and Control · Mathematics 2025-10-14 Kaito Ohtani , Hiroki Kawabe , Kentaro Yaji , Kikuo Fujita , Vikrant Aute

We develop a new optimisation technique that combines multiresolution subdivision surfaces for boundary description with immersed finite elements for the discretisation of the primal and adjoint problems of optimisation. Similar to wavelets…

Numerical Analysis · Mathematics 2016-01-20 Kosala Bandara , Thomas Rüberg , Fehmi Cirak

Direct prediction of material properties from microstructures through statistical models has shown to be a potential approach to accelerating computational material design with large design spaces. However, statistical modeling of highly…

Computational Physics · Physics 2017-12-12 Ruijin Cang , Hechao Li , Hope Yao , Yang Jiao , Yi Ren

Electromagnetic metasurface design based on far-field constraints without the complete knowledge of the fields on both sides of the metasurface is typically a time consuming and iterative process, which relies heavily on heuristics and ad…

Optics · Physics 2022-08-17 Parinaz Naseri , Stewart Pearson , Zhengzheng Wang , Sean V. Hum

Nonlinear metasurfaces offer a new paradigm to realize optical nonlinear devices with new and unparalleled behavior compared to nonlinear crystals, due to the interplay between photonic resonances and materials properties. The complicated…

Concepts from quantum topological states of matter have been extensively utilized in the past decade in creating mechanical metamaterials with topologically protected features, such as one-way edge states and topologically polarized…

Applied Physics · Physics 2022-07-14 Haning Xiu , Harry Liu , Andrea Poli , Guangchao Wan , Ellen M. Arruda , Xiaoming Mao , Zi Chen

Triply Periodic Minimal Surfaces (TPMS) possess locally minimized surface area under the constraint of periodic boundary conditions. Different families of surfaces were obtained with different topologies satisfying such conditions. Examples…

The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our approach uses iterative extraction of isosurfaces of a…

Optimization and Control · Mathematics 2016-12-14 Igor Ostanin , Ivan Tsybulin , Mikhail Litsarev , Ivan Oseledets , Denis Zorin

Direct optimization of interpolated features on multi-resolution voxel grids has emerged as a more efficient alternative to MLP-like modules. However, this approach is constrained by higher memory expenses and limited representation…

Computer Vision and Pattern Recognition · Computer Science 2023-04-14 Xiangyu Xu , Lichang Chen , Changjiang Cai , Huangying Zhan , Qingan Yan , Pan Ji , Junsong Yuan , Heng Huang , Yi Xu

Topological materials present unconventional electronic properties that make them attractive for both basic science and next-generation technological applications. The majority of currently known topological materials have been discovered…

Materials Science · Physics 2023-02-14 Andrew Ma , Yang Zhang , Thomas Christensen , Hoi Chun Po , Li Jing , Liang Fu , Marin Soljačić

The synthesis of a metasurface exhibiting a specific set of desired scattering properties is a time-consuming and resource-demanding process, which conventionally relies on many cycles of full-wave simulations. It requires an experienced…

Signal Processing · Electrical Eng. & Systems 2021-09-15 Parinaz Naseri , Sean V. Hum

High-quality quadrilateral mesh generation is a fundamental challenge in computer graphics. Traditional optimization-based methods are often constrained by the topological quality of input meshes and suffer from severe efficiency…

Graphics · Computer Science 2026-03-12 Yuguang Chen , Xinhai Liu , Xiangyu Zhu , Yiling Zhu , Zhuo Chen , Dongyu Zhang , Chunchao Guo

Materials design can be cast as an optimization problem with the goal of achieving desired properties, by varying material composition, microstructure morphology, and processing conditions. Existence of both qualitative and quantitative…

Computational Physics · Physics 2019-07-08 Akshay Iyer , Yichi Zhang , Aditya Prasad , Siyu Tao , Yixing Wang , Linda Schadler , L Catherine Brinson , Wei Chen

This paper proposes a novel density-based method for structural design considering restrictions of multi-axis machining processes. A new mathematical formulation based on Heaviside function is presented to transform the design field into a…

Optimization and Control · Mathematics 2021-10-05 Hao Deng , Albert C. To

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

A porous scaffold is a three-dimensional network structure composed of a large number of pores, and triply periodic minimal surfaces (TPMSs) are one of conventional tools for designing porous scaffolds. However, discontinuity,…

Graphics · Computer Science 2019-08-07 Chuanfeng Hu , Hongwei Lin

Topological metamaterials exhibit unusual behaviors at their boundaries, such as unidirectional chiral waves, that are protected by a topological feature of their band structure. The ability to tune such a material through a topological…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Noah P. Mitchell , Lisa M. Nash , William T. M. Irvine

Progresses in additive manufacturing technologies allow the realization of finely graded microstructured materials with tunable mechanical properties. This paves the way to a wealth of innovative applications, calling for the combined…

Analysis of PDEs · Mathematics 2023-07-10 Stefano Almi , Ulisse Stefanelli

De-homogenization is becoming an effective method to significantly expedite the design of high-resolution multiscale structures, but existing methods have thus far been confined to simple static compliance minimization. There are two…

Computational Engineering, Finance, and Science · Computer Science 2021-12-21 Liwei Wang , Zhao Liu , Daicong Da , Yu-Chin Chan , Wei Chen , Ping Zhu