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Kernel phase interferometry is an approach to high angular resolution imaging which enhances the performance of speckle imaging with adaptive optics. Kernel phases are self-calibrating observables that generalize the idea of closure phases…

Instrumentation and Methods for Astrophysics · Physics 2016-09-21 Benjamin J. S. Pope

Kernel-phase is a data analysis method based on a generalization of the notion of closure-phase invented in the context of interferometry, but that applies to well corrected diffraction dominated images produced by an arbitrary aperture.…

Instrumentation and Methods for Astrophysics · Physics 2020-04-22 Frantz Martinache , Alban Ceau , Romain Laugier , Jens Kammerer , Mamadou N'Diaye , David Mary , Nick Cvetojevic , Coline Lopez

The detection of high contrast companions at small angular separation appears feasible in conventional direct images using the self-calibration properties of interferometric observable quantities. The friendly notion of closure-phase, which…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Frantz Martinache

The detection of high contrast companions at small angular separation appears feasible in conventional direct images using the self-calibration properties of interferometric observable quantities. In the high-Strehl regime, available from…

Instrumentation and Methods for Astrophysics · Physics 2015-05-30 Frantz Martinache

At present, the principal limitation on the resolution and contrast of astronomical imaging instruments comes from aberrations in the optical path, which may be imposed by the Earth's turbulent atmosphere or by variations in the alignment…

Instrumentation and Methods for Astrophysics · Physics 2015-10-23 Benjamin Pope , Peter Tuthill , Sasha Hinkley , Michael J. Ireland , Alexandra Greenbaum , Alexey Latyshev , John D. Monnier , Frantz Martinache

Directly imaging exoplanets is challenging because quasi-static phase aberrations in the pupil plane (speckles) can mimic the signal of a companion at small angular separations. Kernel phase, which is a generalization of closure phase…

Earth and Planetary Astrophysics · Physics 2019-04-10 Jens Kammerer , Michael J. Ireland , Frantz Martinache , Julien H. Girard

Kernel phase is a method to interpret stellar point source images by considering their formation as the analytical result of an interferometric process. Using Fourier formalism, this method allows for observing planetary companions around…

Instrumentation and Methods for Astrophysics · Physics 2022-09-02 Mamadou N'Diaye , David Mary , Frantz Martinache , Roxanne Ligi , Nick Cvetojevic , Peter Chingaipe , Romain Laugier

In the ELTs era, where the need for versatile and innovative solutions to produce very high spatial resolution images has become a major issue, the search of synergies with other science fields seems a logic step. One of the considered…

Instrumentation and Methods for Astrophysics · Physics 2018-11-15 E. Quevedo , S. Velasco , C. Colodro-Conde , G. Rodríguez-Coira , A. Oscoz , R. L. López , J. Font , J. H. Brito , O. Llinas , S. Robaina , G. M. Callico , R. Sarmiento , R. Rebolo

In this paper, we introduce a new image representation based on a multilayer kernel machine. Unlike traditional kernel methods where data representation is decoupled from the prediction task, we learn how to shape the kernel with…

Machine Learning · Statistics 2016-10-26 Julien Mairal

To reach its optimal performance, Fizeau interferometry requires that we work to resolve instrumental biases through calibration. One common technique used in high contrast imaging is angular differential imaging, which calibrates the point…

Instrumentation and Methods for Astrophysics · Physics 2020-04-08 Romain Laugier , Frantz Martinache , Nick Cvetojevic , David Mary , Alban Ceau , Mamadou N'Diaye , Jens Kammerer , Julien Lozi , Olivier Guyon , Coline Lopez

Image resolution is an important criterion for many applications based on satellite imagery. In this work, we adapt a state-of-the-art kernel regression technique for smartphone camera burst super-resolution to satellites. This technique…

Image and Video Processing · Electrical Eng. & Systems 2023-03-13 Jamy Lafenetre , Ngoc Long Nguyen , Gabriele Facciolo , Thomas Eboli

We establish a link between Fourier optics and a recent construction from the machine learning community termed the kernel mean map. Using the Fraunhofer approximation, it identifies the kernel with the squared Fourier transform of the…

Optics · Physics 2016-11-17 Stefan Harmeling , Michael Hirsch , Bernhard Schölkopf

Existing ultrasound deconvolution approaches unrealistically assume, primarily for computational reasons, that the convolution model relies on a spatially invariant kernel and circulant boundary conditions. We discard both restrictions and…

Signal Processing · Electrical Eng. & Systems 2021-09-21 Mihai I. Florea , Adrian Basarab , Denis Kouamé , Sergiy A. Vorobyov

Video frame interpolation task has recently become more and more prevalent in the computer vision field. At present, a number of researches based on deep learning have achieved great success. Most of them are either based on optical flow…

Computer Vision and Pattern Recognition · Computer Science 2022-04-26 Haoyue Tian , Pan Gao , Xiaojiang Peng

Traditional super-resolution (SR) methods assume an ``ideal'' downscaling SR-kernel (e.g., bicubic downscaling) between the high-resolution (HR) image and the low-resolution (LR) image. Such methods fail once the LR images are generated…

Computer Vision and Pattern Recognition · Computer Science 2025-03-31 Oliver Heinimann , Assaf Shocher , Tal Zimbalist , Michal Irani

Blind deconvolution problems are severely ill-posed because neither the underlying signal nor the forward operator are not known exactly. Conventionally, these problems are solved by alternating between estimation of the image and kernel…

Image and Video Processing · Electrical Eng. & Systems 2023-12-06 Yash Sanghvi , Yiheng Chi , Stanley H. Chan

Image reconstruction of low-count positron emission tomography (PET) data is challenging. Kernel methods address the challenge by incorporating image prior information in the forward model of iterative PET image reconstruction. The…

Image and Video Processing · Electrical Eng. & Systems 2022-10-25 Siqi Li , Kuang Gong , Ramsey D. Badawi , Edward J. Kim , Jinyi Qi , Guobao Wang

The image reconstruction problem consists in finding an approximation of a function f starting from its Radon transform Rf. This problem arises in the ambit of medical imaging when one tries to reconstruct the internal structure of the…

Numerical Analysis · Mathematics 2011-11-28 Amos Sironi

Image reconstruction for positron emission tomography (PET) is challenging because of the ill-conditioned tomographic problem and low counting statistics. Kernel methods address this challenge by using kernel representation to incorporate…

Image and Video Processing · Electrical Eng. & Systems 2022-05-26 Siqi Li , Guobao Wang

Given the broad application of infrared technology across diverse fields, there is an increasing emphasis on investigating super-resolution techniques for infrared images within the realm of deep learning. Despite the impressive results of…

Image and Video Processing · Electrical Eng. & Systems 2024-01-25 Feiwei Qin , Kang Yan , Changmiao Wang , Ruiquan Ge , Yong Peng , Kai Zhang
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