- Front Matter: Volume 9301
- Image Processing and Pattern Recognition
We propose an unbiased estimator of the weighted mean squared error — Mallows’ statistics Cp — as a novel criterion for estimating a point spread function (PSF) from the degraded image only. The PSF is obtained by minimizing this new objective functional over a family of Wiener processings. Based on this estimated PSF, we then perform non-blind deconvolution using the popular BM3D algorithm. The Cp-based framework is exemplified with a number of parametric PSF’s, involving a scaling factor that controls the blur size. A typical example of such parametrization is the Gaussian kernel.
The experimental results demonstrate that the Cp-minimization yields highly accurate estimates of the PSF parameters, which also result in a negligible loss of visual quality, compared to that obtained with the exact PSF. The highly competitive results outline the great potential of developing more powerful blind deconvolution algorithms based on the Cp-estimator.
In the modern astronomical CCD observation, fringes are annoying problems. It is critical to remove fringes in order to provide properly uniform photometry across the field. Usually a fringe map can be constructed by combining frames and taking medians at every pixel from the corresponding frames’ stack. Furthermore, the fringe map should be scaled based on a target frame in order to remove the fringes precisely. Astrometric work is another different measurement from photometry (for astrophysics), fringes’ impetus to positional determination is often overlooked.
When CCD frames are taken with a slow movement of telescope used, it’s hard to construct a fringe map from data themselves. We extracted the fringe map from other CCD frames in telescope’s different pointings, and thus practiced the approach according to Snodgrass and Carry [1] to derive a scale for a target frame.
Furthermore, the positional measurement was studied for the fringes’ impetus. In more detail, the positional measurements for stars were performed by a well-known 2-D Gaussian fit and were compared before and after de-fringing in the presentation. Our results showed that the biggest positional difference from fringes could be as big as 1 pixel for some faint stars. On average, the mean impetuses (standard deviation) were about 0.03 pixels, 0.25 pixels for bright stars, faint stars, respectively.