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In the present paper, an integrated paradigm for topology optimization on complex surfaces with arbitrary genus is proposed. The approach is constructed based on the two-dimensional (2D) Moving Morphable Component (MMC) framework, where a…

最优化与控制 · 数学 2022-02-03 Wendong Huo , Chang Liu , Zongliang Du , Xudong Jiang , Zhengyu Liu , Xu Guo

Reconstructing 3D objects from 2D images is both challenging for our brains and machine learning algorithms. To support this spatial reasoning task, contextual information about the overall shape of an object is critical. However, such…

计算机视觉与模式识别 · 计算机科学 2022-09-19 Dominik J. E. Waibel , Scott Atwell , Matthias Meier , Carsten Marr , Bastian Rieck

Triply periodic minimal surface (TPMS) metamaterials characterized by mathematically-controlled topologies exhibit better mechanical properties compared to uniform structures. The unit cell topology of such metamaterials can be further…

计算工程、金融与科学 · 计算机科学 2023-03-20 Asha Viswanath , Diab W Abueidda , Mohamad Modrek , Kamran A Khan , Seid Koric , Rashid K. Abu Al-Rub

This work concerns a structural topology optimisation problem for 4D printing based on the phase field approach. The concept of 4D printing as a targeted evolution of 3D printed structures can be realised in a two-step process. One first…

最优化与控制 · 数学 2023-05-03 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

We introduce a method to analyze and modify a shape to make it manufacturable for a given additive manufacturing (AM) process. Different AM technologies, process parameters or materials introduce geometric constraints on what is…

图形学 · 计算机科学 2019-09-26 Erva Ulu , Nurcan Gecer Ulu , Walter Hsiao , Saigopal Nelaturi

The electronic properties of two-dimensional materials and their heterostructures can be dramatically altered by varying the relative angle between the layers. This makes it theoretically possible to realize a new class of twistable…

介观与纳米尺度物理 · 物理学 2018-09-03 Rebeca Ribeiro-Palau , Changjian Zhang , Kenji Watanabe , Takashi Taniguchi , James Hone , Cory R. Dean

Axial vectors, such as current or magnetization, are commonly used order parameters in time-reversal symmetry breaking systems. These vectors also break isotropy in three dimensional systems, lowering the spatial symmetry. We demonstrate…

介观与纳米尺度物理 · 物理学 2026-02-25 Helene Spring , Anton R. Akhmerov , Daniel Varjas

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…

应用物理 · 物理学 2022-07-14 Haning Xiu , Harry Liu , Andrea Poli , Guangchao Wan , Ellen M. Arruda , Xiaoming Mao , Zi Chen

Topology is a powerful tool for categorizing magnetization textures by defining a topological index in both two-dimensional (2D) systems, such as thin films or curved surfaces, and in 3D bulk systems. In the emerging field of 3D…

The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology. The morphings are obtained by deforming a reference shape, through the resolution of a sequence of linear…

数值分析 · 数学 2025-02-04 Abbas Kabalan , Fabien Casenave , Felipe Bordeu , Virginie Ehrlacher , Alexandre Ern

Non-rigid 3D mesh matching is a critical step in computer vision and computer graphics pipelines. We tackle matching meshes that contain topological artefacts which can break the assumption made by current approaches. While Functional Maps…

计算机视觉与模式识别 · 计算机科学 2025-09-09 Aymen Merrouche , Stefanie Wuhrer , Edmond Boyer

Metamaterials with floppy modes called mechanisms are a burgeoning template for shape-morphing systems and structures across scales. Here, we present a design recipe that transforms an arbitrary plane tiling into a 2D kirigami pattern with…

软凝聚态物质 · 物理学 2026-05-04 Yingchao Peng , Asifur Rahman , Paolo Celli , Paul Plucinsky

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…

计算工程、金融与科学 · 计算机科学 2019-10-09 Nicolò Pollini , Oded Amir

Shape change enables new capabilities for robots. One class of robots capable of dramatic shape change is soft growing "vine" robots. These robots usually feature global actuation methods for bending that limit them to simple,…

机器人学 · 计算机科学 2023-03-07 Rianna Jitosho , Sofia Simon-Trench , Allison M. Okamura , Brian H. Do

This paper presents a novel framework for modeling and conditional generation of 3D articulated objects. Troubled by flexibility-quality tradeoffs, existing methods are often limited to using predefined structures or retrieving shapes from…

计算机视觉与模式识别 · 计算机科学 2025-04-04 Jiayi Su , Youhe Feng , Zheng Li , Jinhua Song , Yangfan He , Botao Ren , Botian Xu

Transforming planar mesoscale devices into precise 3-D architectures is vital for next-generation flexible electronics, implants, and adaptive optics, yet wafer-based manufacturing to free-standing 3-D structures remain elusive. We…

应用物理 · 物理学 2025-05-27 Yue Wang , Kelvin Shum , Yuyang Song , Tian Chen

Using full 3D finite element simulation and underlining Hamiltonian models, we demonstrate reconfigurable photonic analogues of topological insulators on a regular lattice of tunable posts in a re-entrant 3D lumped element type system. The…

仪器与探测器 · 物理学 2016-12-14 Maxim Goryachev , Michael E. Tobar

The use of 3D printing, or additive manufacturing, has gained significant attention in recent years due to its potential for revolutionizing traditional manufacturing processes. One key challenge in 3D printing is managing energy…

图形学 · 计算机科学 2023-04-24 Kang Wang

Recently, a class of mechanical lattices with reconfigurable, zero-stiffness structures has been proposed, called Totimorphic lattices. In this work, we introduce a computational framework that enables continuous reprogramming of a…

天体物理仪器与方法 · 物理学 2026-03-16 Dominik Dold , Amy Thomas , Nicole Rosi , Jai Grover , Dario Izzo

Conventional subtractive manufacturing inevitably involves material loss during geometric realization, while additive manufacturing still suffers from limitations in surface quality, process continuity, and productivity when fabricating…

机器人学 · 计算机科学 2026-01-12 Lei Li , Jiale Gong , Ziyang Li , Hong Wang