A Red-Noise Eigenbasis for the Reconstruction of Blobby Images

Abstract

We demonstrate the use of an eigenbasis that is derived from principal component analysis (PCA) applied on an ensemble of random-noise images that have a "red" power spectrum; i.e., a spectrum that decreases smoothly from large to small spatial scales. The pattern of the resulting eigenbasis allows for the reconstruction of images with a broad range of image morphologies. In particular, we show that this general eigen basis can be used to efficiently reconstruct images that resemble possible astronomical sources for interferometric observations; even though the images in the original ensemble used to generate the PCA basis are significantly different from the astronomical images. We further show that the efficiency and fidelity of the image reconstructions depends only weakly on the particular parameters of the red-noise power spectrum used to generate the ensemble of images.

arXiv comment10 pages, 8 figures, submitted to ApJ

References in corpus (21)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• Three-dimensional MHD Simulations of Radiatively Inefficient Accretion Flows
• GRMHD Simulations of Magnetized Advection Dominated Accretion on a Non-Spinning Black Hole: Role of Outflows
• General relativistic magnetohydrodynamical simulations of the jet in M87
• Event Horizon Telescope observations of the jet launching and collimation in Centaurus A
• A Robust Classification of Galaxy Spectra: Dealing with Noisy and Incomplete Data
• An 8 hour characteristic time-scale in submillimetre light curves of Sagittarius A*
• Fast Variability and mm/IR flares in GRMHD Models of Sgr A* from Strong-Field Gravitational Lensing
• A 600 minute near-infrared lightcurve of Sagittarius A*
• Near-Infrared and X-ray Quasi-Periodic Oscillations in Numerical Models of Sgr A*
• The Optics of Refractive Substructure
• Exploring the Spectral Space of Low Redshift QSOs
• Brightness Asymmetry of Black Hole Images as a Probe of Observer Inclination
• Principal Component Analysis as a Tool for Characterizing Black Hole Images and Variability
• Discretization and Filtering Effects on Black Hole Images Obtained with the Event Horizon Telescope
• Markov Chains for Horizons (MARCH). I. Identifying Biases in Fitting Theoretical Models to Event Horizon Telescope Observations