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In this paper, we propose a topology optimization (TO) framework where the design is parameterized by a set of convex polygons. Extending feature mapping methods in TO, the representation allows for direct extraction of the geometry. In…

Optimization and Control · Mathematics 2023-05-09 Aaditya Chandrasekhar

This paper presents a highly efficient method to obtain high-resolution, near-optimal 3D topologies optimized for minimum compliance on a standard PC. Using an implicit geometry description we derive a single-scale interpretation of optimal…

Computational Engineering, Finance, and Science · Computer Science 2020-04-22 Jeroen Groen , Florian Stutz , Niels Aage , J. Andreas Bærentzen , Ole Sigmund

Topology optimization (TO) is a family of computational methods that derive near-optimal geometries from formal problem descriptions. Despite their success, established TO methods are limited to generating single solutions, restricting the…

Machine Learning · Computer Science 2025-06-18 Andreas Radler , Eric Volkmann , Johannes Brandstetter , Arturs Berzins

Topology optimization is widely used by engineers during the initial product development process to get a first possible geometry design. The state-of-the-art is the iterative calculation, which requires both time and computational power.…

Machine Learning · Computer Science 2021-09-30 Alex Halle , L. Flavio Campanile , Alexander Hasse

We propose a probabilistic shape completion method extended to the continuous geometry of large-scale 3D scenes. Real-world scans of 3D scenes suffer from a considerable amount of missing data cluttered with unsegmented objects. The problem…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Dongsu Zhang , Changwoon Choi , Inbum Park , Young Min Kim

Wide variety of engineering design tasks can be formulated as constrained optimization problems where the shape and topology of the domain are optimized to reduce costs while satisfying certain constraints. Several mathematical approaches…

Optimization and Control · Mathematics 2015-03-10 Igor Ostanin , Denis Zorin , Ivan Oseledets

Automated axon tracing via fully supervised learning requires large amounts of 3D brain imagery, which is time consuming and laborious to obtain. It also requires expertise. Thus, there is a need for more efficient segmentation and…

Image and Video Processing · Electrical Eng. & Systems 2023-11-08 Nina I. Shamsi , Alex S. Xu , Lars A. Gjesteby , Laura J. Brattain

Surface topography refers to the geometric micro-structure of a surface and defines its tactile characteristics (typically in the sub-millimeter range). High-resolution 3D scanning techniques developed recently enable the 3D reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2015-05-07 Matthias Zeppelzauer , Markus Seidl

In this paper, we present a topology optimization (TO) framework to enable automated design of mechanical components while ensuring the result can be manufactured using multi-axis machining. Although TO improves the part's performance, the…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Amir M. Mirzendehdel , Morad Behandish , Saigopal Nelaturi

Segmentation is often an essential intermediate step in image analysis. A volume segmentation characterizes the underlying volume image in terms of geometric information--segments, faces between segments, curves in which several faces…

Computational Geometry · Computer Science 2010-10-01 Bjoern Andres , Ullrich Koethe , Thorben Kroeger , Fred A. Hamprecht

Topology optimization is a valuable tool in engineering, facilitating the design of optimized structures. However, topological changes often require a remeshing step, which can become challenging. In this work, we propose an isogeometric…

Numerical Analysis · Mathematics 2026-05-01 Guilherme Henrique Teixeira , Nepomuk Krenn , Peter Gangl , Benjamin Marussig

Topology optimization (TO) in two dimensions often presents a trade-off between structural performance and manufacturability, with unpenalized (variable-thickness) methods yielding superior but complex designs, and penalized (SIMP) methods…

Computational Engineering, Finance, and Science · Computer Science 2025-07-28 Gabriel Stankiewicz , Chaitanya Dev , Paul Steinmann

Topology optimization is able to maximally leverage the high DOFs and mechanical potentiality of porous foams but faces three fundamental challenges: conforming to free-form outer shapes, maintaining geometric connectivity between adjacent…

Graphics · Computer Science 2023-08-09 Ming Li , Jingqiao Hu , Wei Chen , Weipeng Kong , Jin Huang

An important new trend in additive manufacturing is the use of optimization to automatically design industrial objects, such as beams, rudders or wings. Topology optimization, as it is often called, computes the best configuration of…

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

This paper presents a novel post-processing methodology for extracting high-quality geometries from density-based topology optimization results. Current post-processing approaches often struggle to simultaneously achieve smooth boundaries,…

Computational Engineering, Finance, and Science · Computer Science 2025-12-09 Ondřej Ježek , Ján Kopačka , Martin Isoz , Dušan Gabriel , Pavel Maršálek , Martin Šotola , Radim Halama

Topology optimization (TO) is employed in engineering to optimize structural performance while maximizing material efficiency. However, traditional TO methods incur significant computational and time costs. Although research has leveraged…

Human-Computer Interaction · Computer Science 2026-03-20 Shuyue Feng , Cedric Caremel , Yoshihiro Kawahara

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

This paper presents a density-based topology optimization method for designing 3D thin-walled structures with adaptive meshing. Uniform wall thickness is achieved by simultaneously constraining the minimum and maximum feature sizes using…

Computational Engineering, Finance, and Science · Computer Science 2019-08-29 Yuqing Zhou , Tsuyoshi Nomura , Ercan M. Dede , Kazuhiro Saitou

In this work, we present an efficiently computational approach for designing material micro-structures by means of topology optimization. The central idea relies on using the isogeometric analysis integrated with the parameterized level set…

Computational Engineering, Finance, and Science · Computer Science 2023-07-19 Chuong Nguyen , Xiaoying Zhuang , Ludovic Chamoin , Hung Nguyen-Xuan , Xianzhong Zhao , Timon Rabczuk
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