tag:blogger.com,1999:blog-10448119.post6206092962911379337..comments2024-03-29T07:56:43.514-04:00Comments on Hogg's Research: you can't have resolution and signal-to-noiseHogghttp://www.blogger.com/profile/18398397408280534592noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-10448119.post-85728195210889609792012-05-09T01:47:50.564-04:002012-05-09T01:47:50.564-04:00We solved this in Bolton & Schlegel, we just d...We solved this in Bolton & Schlegel, we just didn't implement it! ;)<br />http://arxiv.org/abs/0911.2689<br /><br />Reconvolve with the matrix square root of the deconvolved flux correlation matrix, and you get stacking with optimal resolution, SNR, and diagonal covariance, without any priors! A.K.A., lossless likelihood-functional compression of multiple-image data of a static scene down to a single image. Then you can put on whatever priors you like.<br />http://arxiv.org/abs/1111.6525adam.s.boltonhttps://www.blogger.com/profile/04362943483545950815noreply@blogger.comtag:blogger.com,1999:blog-10448119.post-68083888095842709202012-05-02T09:14:32.858-04:002012-05-02T09:14:32.858-04:00@Brendon: You are right, of course, we can't ...@Brendon: You are right, of course, we can't get s/n by convolving. But we can improve per-pixel s/n if we limit the "extent" of the deconvolution. I just figured out last night how to do that sensibly. More posts on this subject soon.Hogghttps://www.blogger.com/profile/18398397408280534592noreply@blogger.comtag:blogger.com,1999:blog-10448119.post-83537013325643918962012-05-01T12:24:58.239-04:002012-05-01T12:24:58.239-04:00"We really should reconvolve our deconvolved ..."We really should reconvolve our deconvolved scenes as we go."<br /><br />I completely disagree. I also don't understand how reconvolving would create new flux, which is what you would need to pick up the star.<br /><br />Maybe the issue is that the prior over high resolution scenes assigns low probability to there being a point mass in the scene? The old "MaxEnt" deconvolution codes always had trouble with stars for this reason.Brendon J. Brewerhttps://www.blogger.com/profile/07525792446604687041noreply@blogger.com