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Localized deformation patterns are a common motif in morphogenesis and are increasingly finding widespread applications in materials science, for instance as memory devices. Here we describe the emergence of spatially localized deformations…

Soft Condensed Matter · Physics 2019-06-12 Thomas C. T. Michaels , Remy Kusters , Alexander J. Dear , Cornelis Storm , James C. Weaver , L. Mahadevan

The question of representation of 3D geometry is of vital importance when it comes to leveraging the recent advances in the field of machine learning for geometry processing tasks. For common unstructured surface meshes state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2018-09-28 Isaak Lim , Alexander Dielen , Marcel Campen , Leif Kobbelt

The underlying dynamics and patterns of 3D surface meshes deforming over time can be discovered by unsupervised learning, especially autoencoders, which calculate low-dimensional embeddings of the surfaces. To study the deformation patterns…

Computer Vision and Pattern Recognition · Computer Science 2022-12-13 Sara Hahner , Felix Kerkhoff , Jochen Garcke

Unsupervised pixel-level defective region segmentation is an important task in image-based anomaly detection for various industrial applications. The state-of-the-art methods have their own advantages and limitations:…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Shancong Mou , Meng Cao , Haoping Bai , Ping Huang , Jianjun Shi , Jiulong Shan

Utilizing patch-based transformers for unstructured geometric data such as polygon meshes presents significant challenges, primarily due to the absence of a canonical ordering and variations in input sizes. Prior approaches to handling 3D…

Computer Vision and Pattern Recognition · Computer Science 2024-11-04 Mohammad Farazi , Yalin Wang

Representing 3D shape deformations by linear models in high-dimensional space has many applications in computer vision and medical imaging, such as shape-based interpolation or segmentation. Commonly, using Principal Components Analysis a…

Computer Vision and Pattern Recognition · Computer Science 2016-05-12 Florian Bernard , Peter Gemmar , Frank Hertel , Jorge Goncalves , Johan Thunberg

One aim of dimensionality reduction is to discover the main factors that explain the data, and as such is paramount to many applications. When working with high dimensional data, autoencoders offer a simple yet effective approach to learn…

Machine Learning · Computer Science 2025-08-29 Benjamin Couéraud , Vikram Sunkara , Christof Schütte

Research in the past years introduced Steered Mixture-of-Experts (SMoE) as a framework to form sparse, edge-aware models for 2D- and higher dimensional pixel data, applicable to compression, denoising, and beyond, and capable to compete…

Image and Video Processing · Electrical Eng. & Systems 2023-05-08 Elvira Fleig , Erik Bochinski , Thomas Sikora

Learned 3D representations of human faces are useful for computer vision problems such as 3D face tracking and reconstruction from images, as well as graphics applications such as character generation and animation. Traditional models learn…

Computer Vision and Pattern Recognition · Computer Science 2018-08-02 Anurag Ranjan , Timo Bolkart , Soubhik Sanyal , Michael J. Black

Shape priors learned from data are commonly used to reconstruct 3D objects from partial or noisy data. Yet no such shape priors are available for indoor scenes, since typical 3D autoencoders cannot handle their scale, complexity, or…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Chiyu Max Jiang , Avneesh Sud , Ameesh Makadia , Jingwei Huang , Matthias Nießner , Thomas Funkhouser

Mesh optimization procedures are generally a combination of node smoothing and discrete operations which affect a small number of elements to improve the quality of the overall mesh. These procedures are useful as a post-processing step in…

Numerical Analysis · Mathematics 2023-10-18 Andrew Shi , Per-Olof Persson

This paper addresses the challenges of designing mesh convolution neural networks for 3D mesh dense prediction. While deep learning has achieved remarkable success in image dense prediction tasks, directly applying or extending these…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Shi Hezi , Jiang Luo , Zheng Jianmin , Zeng Jun

Autoencoders have been widely used for dimensional reduction and feature extraction. Various types of autoencoders have been proposed by introducing regularization terms. Most of these regularizations improve representation learning by…

Machine Learning · Computer Science 2020-06-26 Yuzhu Guo , Kang Pan , Simeng Li , Zongchang Han , Kexin Wang , Li Li

Cellular electron cryo-tomography enables the 3D visualization of cellular organization in the near-native state and at submolecular resolution. However, the contents of cellular tomograms are often complex, making it difficult to…

Quantitative Methods · Quantitative Biology 2017-12-29 Xiangrui Zeng , Miguel Ricardo Leung , Tzviya Zeev-Ben-Mordehai , Min Xu

Optimization of thin-walled structures like an aircraft wing, aircraft fuselage or submarine hull often involves dividing the shell surface into numerous localized panels, each characterized by its own set of design variables. The process…

Numerical Analysis · Mathematics 2021-12-21 Shuvodeep De , Rakesh K. Kapania

Modern product design in the engineering domain is increasingly driven by computational analysis including finite-element based simulation, computational optimization, and modern data analysis techniques such as machine learning. To apply…

Computer Vision and Pattern Recognition · Computer Science 2020-03-20 Skylar Sible , Rodrigo Iza-Teran , Jochen Garcke , Nikola Aulig , Patricia Wollstadt

We propose 3Deformer, a general-purpose framework for interactive 3D shape editing. Given a source 3D mesh with semantic materials, and a user-specified semantic image, 3Deformer can accurately edit the source mesh following the shape…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Hao Su , Xuefeng Liu , Jianwei Niu , Ji Wan , Xinghao Wu

The 2-dimensional Ising model on a square lattice is investigated with a variational autoencoder in the non-vanishing field case for the purpose of extracting the crossover region between the ferromagnetic and paramagnetic phases. The…

Computational Physics · Physics 2020-08-04 Nicholas Walker , Ka-Ming Tam

The idea of using a deep autoencoder to encode seismic waveform features and then use them in different seismological applications is appealing. In this paper, we designed tests to evaluate this idea of using autoencoders as feature…

One challenge that remains open in 3D deep learning is how to efficiently represent 3D data to feed deep networks. Recent works have relied on volumetric or point cloud representations, but such approaches suffer from a number of issues…

Computer Vision and Pattern Recognition · Computer Science 2019-01-25 Jhony K. Pontes , Chen Kong , Sridha Sridharan , Simon Lucey , Anders Eriksson , Clinton Fookes