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We apply a deep convolutional neural network segmentation model to enable novel automated microstructure segmentation applications for complex microstructures typically evaluated manually and subjectively. We explore two microstructure…

Computer Vision and Pattern Recognition · Computer Science 2019-02-06 Brian L. DeCost , Bo Lei , Toby Francis , Elizabeth A. Holm

While the forward and backward modeling of the process-structure-property chain has received a lot of attention from the materials community, fewer efforts have taken into consideration uncertainties. Those arise from a multitude of sources…

Machine Learning · Statistics 2021-08-06 Maximilian Rixner , Phaedon-Stelios Koutsourelakis

This work presents a framework for modeling three-dimensional scaffold-mediated bone regeneration and the associated optimization problem. By incorporating microstructure into the model through periodic homogenization, we capture the…

Numerical Analysis · Mathematics 2025-03-25 Patrick Dondl , Oliver Suchan

We address the problem of recovering multiple structures of different classes in a dataset contaminated by noise and outliers. In particular, we consider geometric structures defined by a mixture of underlying parametric models (e.g. planes…

Machine Learning · Computer Science 2025-05-19 Luca Magri , Filippo Leveni , Giacomo Boracchi

We study the problem of recovering the structure underlying large Gaussian graphical models or, more generally, partial correlation graphs. In high-dimensional problems it is often too costly to store the entire sample covariance matrix. We…

Statistics Theory · Mathematics 2021-10-13 Gábor Lugosi , Jakub Truszkowski , Vasiliki Velona , Piotr Zwiernik

We propose a new, efficient multi-scale method to decompose a map (or signal in general) into components maps that contain structures of different sizes. In the widely-used wave transform, artifacts containing negative values arise around…

Instrumentation and Methods for Astrophysics · Physics 2022-04-11 Guang-Xing Li

Explorable 3D world generation from a single image or text prompt forms a cornerstone of spatial intelligence. Recent works utilize video model to achieve wide-scope and generalizable 3D world generation. However, existing approaches often…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Zhongqi Yang , Wenhang Ge , Yuqi Li , Jiaqi Chen , Haoyuan Li , Mengyin An , Fei Kang , Hua Xue , Baixin Xu , Yuyang Yin , Eric Li , Yang Liu , Yikai Wang , Hao-Xiang Guo , Yahui Zhou

Our previous works have demonstrated that visually realistic 3D meshes can be automatically reconstructed with low-cost, off-the-shelf unmanned aerial systems (UAS) equipped with capable cameras, and efficient photogrammetric software…

Computer Vision and Pattern Recognition · Computer Science 2020-08-11 Meida Chen , Andrew Feng , Kyle McCullough , Pratusha Bhuvana Prasad , Ryan McAlinden , Lucio Soibelman , Mike Enloe

This paper introduces a method to extract a hierarchical tree representation from 3D unorganized polygonal data. The proposed approach first extracts a graph representation of the surface, which serves as the foundation for structural…

Graphics · Computer Science 2025-10-21 Diogo de Andrade , Nuno Fachada

We present a fast algorithm for the design of smooth paths (or trajectories) that are constrained to lie in a collection of axis-aligned boxes. We consider the case where the number of these safe boxes is large, and basic preprocessing of…

Robotics · Computer Science 2024-01-04 Tobia Marcucci , Parth Nobel , Russ Tedrake , Stephen Boyd

The ability to perform mathematical computations using metastructures is an emergent paradigm that carries the potential of wave-based analog computing to the realm of near-speed-of-light, low-loss, compact devices. We theoretically…

Applied Physics · Physics 2025-02-25 Dimitrios C. Tzarouchis , Brian Edwards , Nader Engheta

Herein we explore a dual tree algorithm for matrix multiplication of $A\in \mathbb{R}^{M\times D}$ and $B\in\mathbb{R}^{D\times N}$, very narrowly effective if the normalized rows of $A$ and columns of $B$, treated as vectors in…

Data Structures and Algorithms · Computer Science 2020-12-11 CNP Slagle , Lance Fortnow

We consider two important aspects in understanding and editing images: modeling regular, program-like texture or patterns in 2D planes, and 3D posing of these planes in the scene. Unlike prior work on image-based program synthesis, which…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Yikai Li , Jiayuan Mao , Xiuming Zhang , William T. Freeman , Joshua B. Tenenbaum , Noah Snavely , Jiajun Wu

Spatial filtering is an important mechanism to improve the spatial quality of laser beams. Typically, a confocal arrangement of lenses with a diaphragm in the focal plane is used for intracavity spatial filtering. Such conventional…

Reconstructing a composition (union) of convex polytopes that perfectly fits the corresponding input point-cloud is a hard optimization problem with interesting applications in reverse engineering and rigid body dynamics simulations. We…

Computer Vision and Pattern Recognition · Computer Science 2021-05-10 Markus Friedrich , Pierre-Alain Fayolle

A method for creating a forest of model trees to fit samples of a function defined on images is described in several steps: down-sampling the images, determining a tree's hyperplanes, applying convolutions to the hyperplanes to handle small…

Machine Learning · Computer Science 2026-01-28 William Ward Armstrong , Hongyi Li , Jun Xu

We propose an unsupervised method for parsing large 3D scans of real-world scenes with easily-interpretable shapes. This work aims to provide a practical tool for analyzing 3D scenes in the context of aerial surveying and mapping, without…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Romain Loiseau , Elliot Vincent , Mathieu Aubry , Loic Landrieu

Morphable models are fundamental to numerous human-centered processes as they offer a simple yet expressive shape space. Creating such morphable models, however, is both tedious and expensive. The main challenge is establishing dense…

Computer Vision and Pattern Recognition · Computer Science 2024-02-12 Sanjeev Muralikrishnan , Chun-Hao Paul Huang , Duygu Ceylan , Niloy J. Mitra

Interference detection of arbitrary geometric objects is not a trivial task due to the heavy computational load imposed by implementation issues. The hierarchically structured bounding boxes help us to quickly isolate the contour of…

Graphics · Computer Science 2016-11-14 L. A. Rivera , Vania V. Estrela , P. C. P. Carvalho

We propose a new method for segmentation-free joint estimation of orthogonal planes, their intersection lines, relationship graph and corners lying at the intersection of three orthogonal planes. Such unified scene exploration under…

Computer Vision and Pattern Recognition · Computer Science 2020-04-27 Christiane Sommer , Yumin Sun , Leonidas Guibas , Daniel Cremers , Tolga Birdal