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A Computer-Aided Design (CAD) model encodes an object in two coupled forms: a parametric construction sequence and its resulting visible geometric shape. During iterative design, adjustments to the geometric shape inevitably require…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Weijian Ma , Shizhao Sun , Ruiyu Wang , Jiang Bian

In 3D printing, stiff fibers (e.g., carbon fiber) can reinforce thermoplastic polymers with limited stiffness. However, existing commercial digital manufacturing software only provides a few simple fiber layout algorithms, which solely use…

Computational Engineering, Finance, and Science · Computer Science 2023-10-31 Xingyuan Sun , Geoffrey Roeder , Tianju Xue , Ryan P. Adams , Szymon Rusinkiewicz

We present a fully Eulerian hybrid immersed-boundary/phase-field model to simulate wetting and contact line motion over any arbitrary geometry. The solid wall is described with a volume-penalisation ghost-cell immersed boundary whereas the…

Fluid Dynamics · Physics 2021-06-30 Armin Shahmardi , Marco Edoardo Rosti , Outi Tammisola , Luca Brandt

This paper presents a novel gradient-informed slicing method for functionally graded additive manufacturing (FGM) that overcomes the limitations of conventional toolpath planning approaches, which struggle to produce truly continuous…

Computational Geometry · Computer Science 2025-08-22 Charles Wade , Devon Beck , Robert MacCurdy

Recent work has demonstrated that the interior material layout of a 3D model can be designed to make a fabricated replica satisfy application-specific demands on its physical properties such as resistance to external loads. A widely used…

Computational Geometry · Computer Science 2017-08-23 Mokwon Lee , Qing Fang , Joonghyun Ryu , Ligang Liu , Deok-Soo Kim

Ray tracing has become a standard for accurate radio propagation modeling, but suffers from exponential computational complexity, as the number of candidate paths scales with the number of objects raised to the interaction order. This…

Vector graphics includes both filled and stroked paths as the main primitives. While there are many techniques for rendering filled paths on GPU, stroked paths have proved more elusive. This paper presents a technique for performing stroke…

Graphics · Computer Science 2024-07-02 Raph Levien , Arman Uguray

The paper presents a topology optimization approach that designs an optimal structure, called a self-supporting structure, which is ready to be fabricated via additive manufacturing without the usage of additional support structures. Such…

Computational Engineering, Finance, and Science · Computer Science 2017-08-25 Dengyang Zhao , Ming Li , Yusheng Liu

A notion of "radially monotone" cut paths is introduced as an effective choice for finding a non-overlapping edge-unfolding of a convex polyhedron. These paths have the property that the two sides of the cut avoid overlap locally as the cut…

Computational Geometry · Computer Science 2016-08-01 Joseph O'Rourke

In this paper, a novel mechanism-driven reinforcement learning framework is proposed for airfoil shape optimization. To validate the framework, a reward function is designed and analyzed, from which the equivalence between the maximizing…

Numerical Analysis · Mathematics 2024-05-28 Jingfeng Wang , Guanghui Hu

High-quality textures are critical for realistic 3D content creation, yet existing generative methods are slow, rely on UV maps, and often fail to remain faithful to a reference image. To address these challenges, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Arianna Rampini , Kanika Madan , Bruno Roy , AmirHossein Zamani , Derek Cheung

Multi-axis additive manufacturing enables high flexibility of material deposition along dynamically varied directions. The Cartesian motion platforms of these machines include three parallel axes and two rotational axes. Singularity on…

Robotics · Computer Science 2021-05-20 Tianyu Zhang , Xiangjia Chen , Guoxin Fang , Yingjun Tian , Charlie C. L. Wang

We demonstrate the existence of smooth three-dimensional vector fields where the cross product between the vector field and its curl is balanced by the gradient of a smooth function, with toroidal level sets that are not invariant under…

Analysis of PDEs · Mathematics 2025-06-02 Naoki Sato , Michio Yamada

In the field of data-driven 3D shape analysis and generation, the estimation of global topological features from localized representations such as point clouds, voxels, and neural implicit fields is a longstanding challenge. This paper…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Yihao Luo

Topological integral transforms have found many applications in shape analysis, from prediction of clinical outcomes in brain cancer to analysis of barley seeds. Using Euler characteristic as a measure, these objects record rich geometric…

Computational Geometry · Computer Science 2024-05-06 Vadim Lebovici , Steve Oudot , Hugo Passe

We introduce an algorithm for the efficient computation of the continuous Haar transform of 2D patterns that can be described by polygons. These patterns are ubiquitous in VLSI processes where they are used to describe design and mask…

Computational Engineering, Finance, and Science · Computer Science 2011-05-09 Robin Scheibler , Paul Hurley , Amina Chebira

Deep learning-based medical image segmentation techniques have shown promising results when evaluated based on conventional metrics such as the Dice score or Intersection-over-Union. However, these fully automatic methods often fail to meet…

Image and Video Processing · Electrical Eng. & Systems 2025-08-06 Liu Li , Qiang Ma , Cheng Ouyang , Johannes C. Paetzold , Daniel Rueckert , Bernhard Kainz

We propose a novel unsupervised learning approach to 3D shape correspondence that builds a multiscale matching pipeline into a deep neural network. This approach is based on smooth shells, the current state-of-the-art axiomatic…

Computer Vision and Pattern Recognition · Computer Science 2020-10-30 Marvin Eisenberger , Aysim Toker , Laura Leal-Taixé , Daniel Cremers

An important open problem in robotic planning is the autonomous generation of 3D inspection paths -- that is, planning the best path to move a robot along in order to inspect a target structure. We recently suggested a new method for…

Artificial Intelligence · Computer Science 2019-01-23 Kai Olav Ellefsen , Herman A. Lepikson , Jan C. Albiez

Euler's elastica constitute an appealing variational image inpainting model. It minimises an energy that involves the total variation as well as the level line curvature. These components are transparent and make it attractive for shape…

Computer Vision and Pattern Recognition · Computer Science 2023-03-15 Karl Schrader , Tobias Alt , Joachim Weickert , Michael Ertel