@InProceedings{7362428,
  author = {A. Schutz and A. Ferrari and D. Mary and E. Thiébaut and F. Soulez},
  booktitle = {2015 23rd European Signal Processing Conference (EUSIPCO)},
  title = {Large scale 3D image reconstruction in optical interferometry},
  year = {2015},
  pages = {474-478},
  abstract = {Astronomical optical interferometers (OI) sample the Fourier transform of the intensity distribution of a source at the observation wavelength. Because of rapid atmospheric perturbations, the phases of the complex Fourier samples (visibilities) cannot be directly exploited, and instead linear relationships between the phases are used (phase closures and differential phases). Consequently, specific image reconstruction methods have been devised in the last few decades. Modern polychromatic OI instruments are now paving the way to multiwavelength imaging. This paper presents the derivation of a spatio-spectral ({"}3D{"}) image reconstruction algorithm called PAINTER (Polychromatic opticAl INTErferometric Reconstruction software). The algorithm is able to solve large scale problems. It relies on an iterative process, which alternates estimation of polychromatic images and of complex visibilities. The complex visibilities are not only estimated from squared moduli and closure phases, but also from differential phases, which help to better constrain the polychromatic reconstruction. Simulations on synthetic data illustrate the efficiency of the algorithm.},
  keywords = {Fourier transforms;image reconstruction;iterative methods;light interferometry;iterative process;polychromatic optical interferometric reconstruction software;PAINTER;spatio-spectral image reconstruction algorithm;multiwavelength imaging;polychromatic OI instrument;Fourier transform;astronomical optical interferometer;large scale 3D image reconstruction;Image reconstruction;Optical interferometry;Signal processing algorithms;Telescopes;Atmospheric measurements;Three-dimensional displays;Optical imaging;ADMM;irregular sampling;phases estimation;proximal operator;optical interferometry},
  doi = {10.1109/EUSIPCO.2015.7362428},
  issn = {2076-1465},
  month = {Aug},
  url = {https://www.eurasip.org/proceedings/eusipco/eusipco2015/papers/1570103499.pdf},
}

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Because of rapid atmospheric perturbations, the phases of the complex Fourier samples (visibilities) cannot be directly exploited, and instead linear relationships between the phases are used (phase closures and differential phases). Consequently, specific image reconstruction methods have been devised in the last few decades. Modern polychromatic OI instruments are now paving the way to multiwavelength imaging. This paper presents the derivation of a spatio-spectral (\"3D\") image reconstruction algorithm called PAINTER (Polychromatic opticAl INTErferometric Reconstruction software). The algorithm is able to solve large scale problems. It relies on an iterative process, which alternates estimation of polychromatic images and of complex visibilities. The complex visibilities are not only estimated from squared moduli and closure phases, but also from differential phases, which help to better constrain the polychromatic reconstruction. Simulations on synthetic data illustrate the efficiency of the algorithm.","keywords":"Fourier transforms;image reconstruction;iterative methods;light interferometry;iterative process;polychromatic optical interferometric reconstruction software;PAINTER;spatio-spectral image reconstruction algorithm;multiwavelength imaging;polychromatic OI instrument;Fourier transform;astronomical optical interferometer;large scale 3D image reconstruction;Image reconstruction;Optical interferometry;Signal processing algorithms;Telescopes;Atmospheric measurements;Three-dimensional displays;Optical imaging;ADMM;irregular sampling;phases estimation;proximal operator;optical interferometry","doi":"10.1109/EUSIPCO.2015.7362428","issn":"2076-1465","month":"Aug","url":"https://www.eurasip.org/proceedings/eusipco/eusipco2015/papers/1570103499.pdf","bibtex":"@InProceedings{7362428,\n author = {A. Schutz and A. Ferrari and D. Mary and E. Thiébaut and F. Soulez},\n booktitle = {2015 23rd European Signal Processing Conference (EUSIPCO)},\n title = {Large scale 3D image reconstruction in optical interferometry},\n year = {2015},\n pages = {474-478},\n abstract = {Astronomical optical interferometers (OI) sample the Fourier transform of the intensity distribution of a source at the observation wavelength. Because of rapid atmospheric perturbations, the phases of the complex Fourier samples (visibilities) cannot be directly exploited, and instead linear relationships between the phases are used (phase closures and differential phases). Consequently, specific image reconstruction methods have been devised in the last few decades. Modern polychromatic OI instruments are now paving the way to multiwavelength imaging. This paper presents the derivation of a spatio-spectral ({\"}3D{\"}) image reconstruction algorithm called PAINTER (Polychromatic opticAl INTErferometric Reconstruction software). The algorithm is able to solve large scale problems. It relies on an iterative process, which alternates estimation of polychromatic images and of complex visibilities. The complex visibilities are not only estimated from squared moduli and closure phases, but also from differential phases, which help to better constrain the polychromatic reconstruction. 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