Interferometer predictions with triangulated images: Solving the multiscale problem
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Interferometer predictions with triangulated images : Solving the multiscale problem. / Brinch, Christian; Dullemond, C. P.
In: Monthly Notices of the Royal Astronomical Society, Vol. 440, No. 4, stu524, 2014, p. 3285-3291.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Interferometer predictions with triangulated images
T2 - Solving the multiscale problem
AU - Brinch, Christian
AU - Dullemond, C. P.
PY - 2014
Y1 - 2014
N2 - Interferometers play an increasingly important role for spatially resolved observations. If employed at full potential, interferometry can probe an enormous dynamic range in spatial scale. Interpretation of the observed visibilities requires the numerical computation of Fourier integrals over the synthetic model images. To get the correct values of these integrals, the model images must have the right size and resolution. Insufficient care in these choices can lead to wrong results. We present a new general-purpose scheme for the computation of visibilities of radiative transfer images. Our method requires a model image that is a list of intensities at arbitrarily placed positions on the image-plane. It creates a triangulated grid from these vertices, and assumes that the intensity inside each triangle of the grid is a linear function. The Fourier integral over each triangle is then evaluated with an analytic expression and the complex visibility of the entire image is then the sum of all triangles. The result is a robust Fourier transform that does not suffer from aliasing effects due to grid regularities. The method automatically ensures that all structure contained in the model gets reflected in the Fourier transform.
AB - Interferometers play an increasingly important role for spatially resolved observations. If employed at full potential, interferometry can probe an enormous dynamic range in spatial scale. Interpretation of the observed visibilities requires the numerical computation of Fourier integrals over the synthetic model images. To get the correct values of these integrals, the model images must have the right size and resolution. Insufficient care in these choices can lead to wrong results. We present a new general-purpose scheme for the computation of visibilities of radiative transfer images. Our method requires a model image that is a list of intensities at arbitrarily placed positions on the image-plane. It creates a triangulated grid from these vertices, and assumes that the intensity inside each triangle of the grid is a linear function. The Fourier integral over each triangle is then evaluated with an analytic expression and the complex visibility of the entire image is then the sum of all triangles. The result is a robust Fourier transform that does not suffer from aliasing effects due to grid regularities. The method automatically ensures that all structure contained in the model gets reflected in the Fourier transform.
KW - Techniques: image processing
KW - Techniques: interferometric
U2 - 10.1093/mnras/stu524
DO - 10.1093/mnras/stu524
M3 - Journal article
AN - SCOPUS:84899821126
VL - 440
SP - 3285
EP - 3291
JO - Royal Astronomical Society. Monthly Notices
JF - Royal Astronomical Society. Monthly Notices
SN - 0035-8711
IS - 4
M1 - stu524
ER -
ID: 120897523