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In the study of shapes of human organs using computational anatomy, variations are found to arise from inter-subject anatomical differences, disease-specific effects, and measurement noise. This paper introduces a stochastic model for…

Computer Vision and Pattern Recognition · Computer Science 2016-12-19 Alexis Arnaudon , Darryl D. Holm , Akshay Pai , Stefan Sommer

Deep learning based localization and mapping has recently attracted significant attention. Instead of creating hand-designed algorithms through exploitation of physical models or geometric theories, deep learning based solutions provide an…

Computer Vision and Pattern Recognition · Computer Science 2020-07-01 Changhao Chen , Bing Wang , Chris Xiaoxuan Lu , Niki Trigoni , Andrew Markham

Many tasks in graphics and vision demand machinery for converting shapes into consistent representations with sparse sets of parameters; these representations facilitate rendering, editing, and storage. When the source data is noisy or…

Graphics · Computer Science 2021-11-24 Dmitriy Smirnov , Matthew Fisher , Vladimir G. Kim , Richard Zhang , Justin Solomon

Geological parameterization entails the representation of a geomodel using a small set of latent variables and a mapping from these variables to grid-block properties such as porosity and permeability. Parameterization is useful for data…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Guido Di Federico , Louis J. Durlofsky

Fitting an unknown number of hyperplanes to data is a fundamental yet challenging problem in machine learning, characterized by its non-convexity, non-differentiability, and unknown model order. Existing approaches often struggle with local…

Machine Learning · Computer Science 2026-05-28 Zhiqin Cheng , Yu Zhan , Mingjin Zhang , Lingbo Liu , Liang Lin

We propose a novel 3d shape representation for 3d shape reconstruction from a single image. Rather than predicting a shape directly, we train a network to generate a training set which will be fed into another learning algorithm to define…

Computer Vision and Pattern Recognition · Computer Science 2022-05-02 Biao Zhang , Peter Wonka

Statistical shape modeling (SSM) directly from 3D medical images is an underutilized tool for detecting pathology, diagnosing disease, and conducting population-level morphology analysis. Deep learning frameworks have increased the…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 Jadie Adams , Shireen Elhabian

3D delineation of anatomical structures is a cardinal goal in medical imaging analysis. Prior to deep learning, statistical shape models that imposed anatomical constraints and produced high quality surfaces were a core technology. Prior to…

Computer Vision and Pattern Recognition · Computer Science 2022-01-05 Ashwin Raju , Shun Miao , Dakai Jin , Le Lu , Junzhou Huang , Adam P. Harrison

Model reduction of high-dimensional dynamical systems alleviates computational burdens faced in various tasks from design optimization to model predictive control. One popular model reduction approach is based on projecting the governing…

Dynamical Systems · Mathematics 2018-08-24 Francisco J. Gonzalez , Maciej Balajewicz

In this work we propose to combine the advantages of learningbased and combinatorial formalisms for 3D shape matching. While learningbased methods lead to state-of-the-art matching performance, they do not ensure geometric consistency, so…

Computer Vision and Pattern Recognition · Computer Science 2024-11-27 Paul Roetzer , Ahmed Abbas , Dongliang Cao , Florian Bernard , Paul Swoboda

Manipulating deformable objects is a ubiquitous task in household environments, demanding adequate representation and accurate dynamics prediction due to the objects' infinite degrees of freedom. This work proposes DeformNet, which utilizes…

Robotics · Computer Science 2024-02-13 Chenchang Li , Zihao Ai , Tong Wu , Xiaosa Li , Wenbo Ding , Huazhe Xu

We introduce a latent 3D representation that models 3D surfaces as probability density functions in 3D, i.e., p(x,y,z), with flow-matching. Our representation is specifically designed for consumption by machine learning models, offering…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Jen-Hao Rick Chang , Yuyang Wang , Miguel Angel Bautista Martin , Jiatao Gu , Xiaoming Zhao , Josh Susskind , Oncel Tuzel

Global optimization of aerodynamic shapes usually requires a large number of expensive computational fluid dynamics simulations because of the high dimensionality of the design space. One approach to combat this problem is to reduce the…

Computational Engineering, Finance, and Science · Computer Science 2020-06-30 Wei Chen , Kevin Chiu , Mark Fuge

Conventional deformable registration methods aim at solving an optimization model carefully designed on image pairs and their computational costs are exceptionally high. In contrast, recent deep learning based approaches can provide fast…

Computer Vision and Pattern Recognition · Computer Science 2021-10-01 Risheng Liu , Zi Li , Xin Fan , Chenying Zhao , Hao Huang , Zhongxuan Luo

The integration of Large Language Models (LLMs) into evolutionary frameworks has established a new paradigm for automated heuristic discovery. Despite their promise, these methods typically search in the discrete space of program syntax,…

Artificial Intelligence · Computer Science 2026-05-19 Cheikh Ahmed , Mahdi Mostajabdaveh , Zirui Zhou

We explore how to enable machines to model 3D shapes like human modelers using deep reinforcement learning (RL). In 3D modeling software like Maya, a modeler usually creates a mesh model in two steps: (1) approximating the shape using a set…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Cheng Lin , Tingxiang Fan , Wenping Wang , Matthias Nießner

This article presents a reduced-order modeling methodology via deep convolutional neural networks (CNNs) for shape optimization applications. The CNN provides a nonlinear mapping between the shapes and their associated attributes while…

Optimization and Control · Mathematics 2022-02-16 Wrik Mallik , Neil Farvolden , Jasmin Jelovica , Rajeev K. Jaiman

Automatic performance tuning (auto-tuning) is essential for optimizing high-performance applications, where vast and irregular search spaces make manual exploration infeasible. While auto-tuners traditionally rely on classical approaches…

Machine Learning · Computer Science 2026-04-01 Floris-Jan Willemsen , Niki van Stein , Ben van Werkhoven

We introduce a region-specific diffeomorphic metric mapping (RDMM) registration approach. RDMM is non-parametric, estimating spatio-temporal velocity fields which parameterize the sought-for spatial transformation. Regularization of these…

Computer Vision and Pattern Recognition · Computer Science 2019-11-12 Zhengyang Shen , François-Xavier Vialard , Marc Niethammer

Design-space dimensionality reduction is essential to mitigate the cost of high-fidelity simulation-based optimization, especially when dealing with high-dimensional geometric parameterizations. Traditional linear techniques, such as…

Optimization and Control · Mathematics 2025-07-23 Andrea Serani , Giorgio Palma , Jeroen Wackers , Domenico Quagliarella , Stefano Gaggero , Matteo Diez