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We propose and analyze a constrained level-set method for semi-automatic image segmentation. Our level-set model with constraints on the level-set function enables us to specify which parts of the image lie inside respectively outside the…

Numerical Analysis · Mathematics 2014-12-11 Vladimír Klement , Tomáš Oberhuber , Daniel Ševčovič

We propose and analyze a constrained level-set method for semi-automatic image segmentation. Our level-set model with constraints on the level-set function enables us to specify which parts of the image lie inside respectively outside the…

Numerical Analysis · Mathematics 2015-01-07 Vladimír Klement , Tomáš Oberhuber , Daniel Ševčovič

We present an efficient method for image segmentation in the presence of strong inhomogeneities. The approach can be interpreted as a two-level clustering procedure: pixels are first grouped into superpixels via a linear least-squares…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Jisui Huang , Andreas Alpers , Ke Chen , Na Lei

Snapshot spectral imaging is rapidly gaining interest for remote sensing applications. Acquiring spatial and spectral data within one image promotes fast measurement times, and reduces the need for stabilized scanning imaging systems. Many…

Image and Video Processing · Electrical Eng. & Systems 2018-12-05 Rebecca French , Sylvain Gigan , Otto L. Muskens

We introduce a general strategy for defining distributions over the space of sparse symmetric positive definite matrices. Our method utilizes the Cholesky factorization of the precision matrix, imposing sparsity through constraints on its…

Methodology · Statistics 2025-06-12 Gianluca Mastrantonio , Pierfrancesco Alaimo Di Loro , Marco Mingione

SCALES (Slicer Combined with an Array of Lenslets for Exoplanet Spectroscopy) is a 2 to 5 micron high-contrast lenslet-based Integral Field Spectrograph (IFS) designed to characterize exoplanets and their atmospheres. Like other…

Instrumentation and Methods for Astrophysics · Physics 2022-08-25 Deno Stelter , Andrew J. Skemer , Renate Kupke , Cyril Bourgenot , Raquel A. Martinez , Stephanie E. Sallum

Finding a suitable data representation for a specific task has been shown to be crucial in many applications. The success of subspace clustering depends on the assumption that the data can be separated into different subspaces. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Zhengrui Ma , Zhao Kang , Guangchun Luo , Ling Tian

This chapter is dedicated to recent developments in the field of wavelet analysis for scattered data. We introduce the concept of samplets, which are signed measures of wavelet type and may be defined on sets of arbitrarily distributed data…

Numerical Analysis · Mathematics 2025-03-25 Helmut Harbrecht , Michael Multerer

The presence of non-homogeneous haze can cause scene blurring, color distortion, low contrast, and other degradations that obscure texture details. Existing homogeneous dehazing methods struggle to handle the non-uniform distribution of…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Yu Guo , Yuan Gao , Ryan Wen Liu , Yuxu Lu , Jingxiang Qu , Shengfeng He , Wenqi Ren

Most existing star-galaxy classifiers depend on the reduced information from catalogs, necessitating careful data processing and feature extraction. In this study, we employ a supervised machine learning method (GoogLeNet) to automatically…

Astrophysics of Galaxies · Physics 2024-09-23 Shiliang Zhang , Guanwen Fang , Jie Song , Ran Li , Yizhou Gu , Zesen Lin , Chichun Zhou , Yao Dai , Xu Kong

Image subtraction is essential for transient detection in time-domain astronomy. The point spread function (PSF), photometric scaling, and sky background generally vary with time and across the field-of-view for imaging data taken with…

Instrumentation and Methods for Astrophysics · Physics 2022-09-14 Lei Hu , Lifan Wang , Xingzhuo Chen , Jiawen Yang

The problem of imaging extended targets (sources or scatterers) is formulated in the framework of compressed sensing with emphasis on subwavelength resolution. The proposed formulation of the problems of inverse source/scattering is…

Optics · Physics 2009-09-15 Albert C. Fannjiang

We present an algorithm that uses the distribution of photon arrival times to distinguish speckles from incoherent sources, like planets and disks, in high contrast images. Using simulated data, we show that our approach can overcome the…

Instrumentation and Methods for Astrophysics · Physics 2019-10-09 Alex B. Walter , Clinton Bockstiegel , Timothy D. Brandt , Benjamin A. Mazin

Spectral clustering is sensitive to how graphs are constructed from data particularly when proximal and imbalanced clusters are present. We show that Ratio-Cut (RCut) or normalized cut (NCut) objectives are not tailored to imbalanced data…

Machine Learning · Statistics 2013-09-11 Jing Qian , Venkatesh Saligrama

In statistical dimensionality reduction, it is common to rely on the assumption that high dimensional data tend to concentrate near a lower dimensional manifold. There is a rich literature on approximating the unknown manifold, and on…

Machine Learning · Statistics 2022-02-22 Didong Li , Minerva Mukhopadhyay , David B. Dunson

Microlocal analysis provides deep insight into singularity structures and is often crucial for solving inverse problems, predominately, in imaging sciences. Of particular importance is the analysis of wavefront sets and the correct…

Image and Video Processing · Electrical Eng. & Systems 2019-07-11 Héctor Andrade-Loarca , Gitta Kutyniok , Ozan Öktem , Philipp Petersen

Shearlet systems have so far been only considered as a means to analyze $L^2$-functions defined on $\R^2$, which exhibit curvilinear singularities. However, in applications such as image processing or numerical solvers of partial…

Functional Analysis · Mathematics 2010-07-20 Gitta Kutyniok , Wang-Q Lim

Existing color sampling based alpha matting methods use the compositing equation to estimate alpha at a pixel from pairs of foreground (F) and background (B) samples. The quality of the matte depends on the selected (F,B) pairs. In this…

Computer Vision and Pattern Recognition · Computer Science 2016-04-26 Jubin Johnson , Ehsan Shahrian Varnousfaderani , Hisham Cholakkal , Deepu Rajan

Context. An automatic tool to derive structural parameters of semi-resolved star clusters located in crowded stellar fields in nearby galaxies is needed for homogeneous processing of archival frames. Aims. We have developed a program that…

Astrophysics of Galaxies · Physics 2015-12-31 D. Narbutis , D. Semionov , R. Stonkutė , P. de Meulenaer , T. Mineikis , A. Bridžius , V. Vansevičius

We experimentally demonstrate the simultaneous estimation of the three parameters characterizing a pair of incoherent optical sources in the sub-Rayleigh regime, enabling super-resolved scene characterization. Using spatial-mode…