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Principal Components Analysis is a widely used technique for dimension reduction and characterization of variability in multivariate populations. Our interest lies in studying when and why the rotation to principal components can be used…

机器学习 · 统计学 2014-10-01 Daniel A Díaz-Pachón , Jean-Eudes Dazard , J. Sunil Rao

Principal Component Analysis is a key technique for reducing the complexity of high-dimensional data while preserving its fundamental data structure, ensuring models remain stable and interpretable. This is achieved by transforming the…

统计方法学 · 统计学 2025-03-25 Nuwan Weeraratne , Lyn Hunt , Jason Kurz

Learning to predict reliable characteristic orientations of 3D point clouds is an important yet challenging problem, as different point clouds of the same class may have largely varying appearances. In this work, we introduce a novel method…

计算机视觉与模式识别 · 计算机科学 2023-06-21 Seungwook Kim , Chunghyun Park , Yoonwoo Jeong , Jaesik Park , Minsu Cho

The task of shape space learning involves mapping a train set of shapes to and from a latent representation space with good generalization properties. Often, real-world collections of shapes have symmetries, which can be defined as…

计算机视觉与模式识别 · 计算机科学 2022-08-30 Matan Atzmon , Koki Nagano , Sanja Fidler , Sameh Khamis , Yaron Lipman

Existing deep learning-based approaches for monocular 3D object detection in autonomous driving often model the object as a rotated 3D cuboid while the object's geometric shape has been ignored. In this work, we propose an approach for…

计算机视觉与模式识别 · 计算机科学 2021-08-26 Zongdai Liu , Dingfu Zhou , Feixiang Lu , Jin Fang , Liangjun Zhang

Inferring 3D structure of a generic object from a 2D image is a long-standing objective of computer vision. Conventional approaches either learn completely from CAD-generated synthetic data, which have difficulty in inference from real…

计算机视觉与模式识别 · 计算机科学 2021-04-05 Feng Liu , Luan Tran , Xiaoming Liu

PCA can be used for rotation invariant features, describing a shape with its $p_{ab}=E[(x_i-E[x_a])(x_b-E[x_b])]$ covariance matrix approximating shape by ellipsoid, allowing for rotation invariants like its traces of powers. However, real…

计算机视觉与模式识别 · 计算机科学 2026-01-08 Jarek Duda

The reconstruction of the 3D permittivity map from ground-penetrating radar (GPR) data is of great importance for mapping subsurface environments and inspecting underground structural integrity. Traditional iterative 3D reconstruction…

信号处理 · 电气工程与系统科学 2023-07-19 Qiqi Dai , Yee Hui Lee , Hai-Han Sun , Genevieve Ow , Mohamed Lokman Mohd Yusof , Abdulkadir C. Yucel

The goal of this paper is to learn dense 3D shape correspondence for topology-varying objects in an unsupervised manner. Conventional implicit functions estimate the occupancy of a 3D point given a shape latent code. Instead, our novel…

计算机视觉与模式识别 · 计算机科学 2020-10-27 Feng Liu , Xiaoming Liu

Simple image rotations significantly reduce the accuracy of deep neural networks. Moreover, training with all possible rotations increases the data set, which also increases the training duration. In this work, we address trainable rotation…

计算机视觉与模式识别 · 计算机科学 2021-01-19 Wolfgang Fuhl , Enkelejda Kasneci

We present a new approach to 3D object representation where a neural network encodes the geometry of an object directly into the weights and biases of a second 'mapping' network. This mapping network can be used to reconstruct an object by…

机器学习 · 计算机科学 2020-04-07 Eric Mitchell , Selim Engin , Volkan Isler , Daniel D Lee

Accurate rotation estimation is at the heart of robot perception tasks such as visual odometry and object pose estimation. Deep neural networks have provided a new way to perform these tasks, and the choice of rotation representation is an…

计算机视觉与模式识别 · 计算机科学 2021-01-19 Valentin Peretroukhin , Matthew Giamou , David M. Rosen , W. Nicholas Greene , Nicholas Roy , Jonathan Kelly

We propose an end-to-end deep learning framework that comprehensively solves the inverse wave scattering problem across all length scales. Our framework consists of the newly introduced wide-band butterfly network coupled with a simple…

数值分析 · 数学 2021-06-03 Matthew Li , Laurent Demanet , Leonardo Zepeda-Núñez

3D shape is a crucial but heavily underutilized cue in today's computer vision systems, mostly due to the lack of a good generic shape representation. With the recent availability of inexpensive 2.5D depth sensors (e.g. Microsoft Kinect),…

计算机视觉与模式识别 · 计算机科学 2015-04-16 Zhirong Wu , Shuran Song , Aditya Khosla , Fisher Yu , Linguang Zhang , Xiaoou Tang , Jianxiong Xiao

We address the problem of aligning real-world 3D data of garments, which benefits many applications such as texture learning, physical parameter estimation, generative modeling of garments, etc. Existing extrinsic methods typically perform…

计算机视觉与模式识别 · 计算机科学 2023-08-21 Siyou Lin , Boyao Zhou , Zerong Zheng , Hongwen Zhang , Yebin Liu

Deep learning techniques have demonstrated significant capacity in modeling some of the most challenging real world problems of high complexity. Despite the popularity of deep models, we still strive to better understand the underlying…

计算机视觉与模式识别 · 计算机科学 2016-07-11 Yu Zhong , Gil Ettinger

When solving inverse problems in geophysical imaging, deep generative models (DGMs) may be used to enforce the solution to display highly structured spatial patterns which are supported by independent information (e.g. the geological…

地球物理 · 物理学 2021-04-28 Jorge Lopez-Alvis , Eric Laloy , Frédéric Nguyen , Thomas Hermans

Indirect image registration is a promising technique to improve image reconstruction quality by providing a shape prior for the reconstruction task. In this paper, we propose a novel hybrid method that seeks to reconstruct high quality…

图像与视频处理 · 电气工程与系统科学 2019-12-18 Jiulong Liu , Angelica I. Aviles-Rivero , Hui Ji , Carola-Bibiane Schönlieb

Dense indoor scene modeling from 2D images has been bottlenecked due to the absence of depth information and cluttered occlusions. We present an automatic indoor scene modeling approach using deep features from neural networks. Given a…

计算机视觉与模式识别 · 计算机科学 2020-02-25 Yinyu Nie , Shihui Guo , Jian Chang , Xiaoguang Han , Jiahui Huang , Shi-Min Hu , Jian Jun Zhang

Depth estimation is a cornerstone of 3D reconstruction and plays a vital role in minimally invasive endoscopic surgeries. However, most current depth estimation networks rely on traditional convolutional neural networks, which are limited…

计算机视觉与模式识别 · 计算机科学 2025-07-16 Bojian Li , Bo Liu , Xinning Yao , Jinghua Yue , Fugen Zhou