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Photometric stereo provides an important method for high-fidelity 3D reconstruction based on multiple intensity images captured under different illumination directions. In this paper, we present a complete framework, including a multilight…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Yanlong Cao , Binjie Ding , Zewei He , Jiangxin Yang , Jingxi Chen , Yanpeng Cao , Xin Li

The structural characterization of hetero-aggregates in 3D is of great interest, e.g., for deriving process-structure or structure-property relationships. However, since 3D imaging techniques are often difficult to perform as well as time…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Lukas Fuchs , Tom Kirstein , Christoph Mahr , Orkun Furat , Valentin Baric , Andreas Rosenauer , Lutz Maedler , Volker Schmidt

The effectiveness of Spatio-temporal Graph Neural Networks (STGNNs) in time-series applications is often limited by their dependence on fixed, hand-crafted input graph structures. Motivated by insights from the Topological Data Analysis…

Machine Learning · Computer Science 2025-03-20 Viet The Nguyen , Duy Anh Pham , An Thai Le , Jans Peter , Gunther Gust

In this paper, we present two fast and interpretable decomposition methods for 2D homography, which are named Similarity-Kernel-Similarity (SKS) and Affine-Core-Affine (ACA) transformations respectively. Under the minimal $4$-point…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Shen Cai , Zhanhao Wu , Lingxi Guo , Jiachun Wang , Siyu Zhang , Junchi Yan , Shuhan Shen

In this paper, a new variant of an algorithm for normalized cross-correlation (NCC) is proposed in the context of template matching in images. The proposed algorithm is based on the precomputation of a template image approximation, enabling…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Davor Marušić , Siniša Popović , Zoran Kalafatić

Image superresolution methods process an input image sequence of a scene to obtain a still image with increased resolution. Classical approaches to this problem involve complex iterative minimization procedures, typically with high…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Carlos Miravet , Francisco B. Rodriguez

On-chip holographic video is a convenient way to monitor biological samples simultaneously at high spatial resolution and over a wide field-of-view. However, due to the limited readout rate of digital detector arrays, one often faces a…

Optics · Physics 2016-12-08 Donghun Ryu , Zihao Wang , Kuan He , Roarke Horstmeyer , Oliver Cossairt

We propose a novel approach for visual representation learning called Signature-Graph Neural Networks (SGN). SGN learns latent global structures that augment the feature representation of Convolutional Neural Networks (CNN). SGN constructs…

Computer Vision and Pattern Recognition · Computer Science 2021-10-25 Ali Hamdi , Flora Salim , Du Yong Kim , Xiaojun Chang

Within the context of topological data analysis, the problems of identifying topological significance and matching signals across datasets are important and useful inferential tasks in many applications. The limitation of existing solutions…

Algebraic Topology · Mathematics 2024-06-26 Inés García-Redondo , Anthea Monod , Anna Song

This work introduces the Spacecraft Pose Network (SPN) for on-board estimation of the pose, i.e., the relative position and attitude, of a known non-cooperative spacecraft using monocular vision. In contrast to other state-of-the-art pose…

Computer Vision and Pattern Recognition · Computer Science 2019-06-25 Sumant Sharma , Simone D'Amico

A sparse modeling approach is proposed for analyzing scanning tunneling microscopy topography data, which contains numerous peaks corresponding to surface atoms. The method, based on the relevance vector machine with $\mathrm{L}_1$…

Data Analysis, Statistics and Probability · Physics 2018-03-13 Masamichi J. Miyama , Koji Hukushima

The multiscale simplicial flat norm (MSFN) of a d-cycle is a family of optimal homology problems indexed by a scale parameter {\lambda} >= 0. Each instance (mSFN) optimizes the total weight of a homologous d-cycle and a bounded (d +…

Computational Geometry · Computer Science 2024-07-01 Kostiantyn Lyman

Persistent homology is a mathematical tool used for studying the shape of data by extracting its topological features. It has gained popularity in network science due to its applicability in various network mining problems, including…

Algebraic Topology · Mathematics 2023-06-21 Mehmet Emin Aktas , Thu Nguyen , Rakin Riza , Muhammad Ifte Islam , Esra Akbas

This paper aims to discuss a method of quantifying the 'shape' of data, via a methodology called topological data analysis. The main tool within topological data analysis is persistent homology; this is a means of measuring the shape of…

Algebraic Topology · Mathematics 2022-09-14 Tristan Gowdridge , Nikolaos Devilis , Keith Worden

We aim at estimating the fundamental matrix in two views from five correspondences of rotation invariant features obtained by e.g.\ the SIFT detector. The proposed minimal solver first estimates a homography from three correspondences…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Daniel Barath

We present a real-time method for robust estimation of multiple instances of geometric models from noisy data. Geometric models such as vanishing points, planar homographies or fundamental matrices are essential for 3D scene analysis.…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Florian Kluger , Bodo Rosenhahn

We propose a hierarchical graph neural network (GNN) model that learns how to cluster a set of images into an unknown number of identities using a training set of images annotated with labels belonging to a disjoint set of identities. Our…

Computer Vision and Pattern Recognition · Computer Science 2021-07-20 Yifan Xing , Tong He , Tianjun Xiao , Yongxin Wang , Yuanjun Xiong , Wei Xia , David Wipf , Zheng Zhang , Stefano Soatto

This paper presents a semantic planar SLAM system that improves pose estimation and mapping using cues from an instance planar segmentation network. While the mainstream approaches are using RGB-D sensors, employing a monocular camera with…

Computer Vision and Pattern Recognition · Computer Science 2022-06-23 Fangwen Shu , Yaxu Xie , Jason Rambach , Alain Pagani , Didier Stricker

Conventional Convolutional neural networks (CNN) are trained on large domain datasets and are hence typically over-represented and inefficient in limited class applications. An efficient way to convert such large many-class pre-trained…

Computer Vision and Pattern Recognition · Computer Science 2020-08-06 K. Sai Ram , Jayanta Mukherjee , Amit Patra , Partha Pratim Das

Large parallax between images is an intractable issue in image stitching. Various warping-based methods are proposed to address it, yet the results are unsatisfactory. In this paper, we propose a novel image stitching method using…

Computer Vision and Pattern Recognition · Computer Science 2024-07-01 Tianli Liao , Ce Wang , Lei Li , Guangen Liu , Nan Li