Wednesday, September 26, 2018

image processing - Can Aliasing Happen in Laplacian Pyramids?


I want to use the Laplacian pyramid framework for representing images. The The Laplacian Pyramid as a Compact Image Code's language seems to provide freedom in the choice of blurring/interpolation kernel, subject to certain constraints. However, as we are performing subsampling when constructing pyramids, would aliasing be a problem with an injudicious choice?


I read in the Toronto lecture notes on image pyramids(Slide 8) that a laplacian pyramid can reconstruct an image exactly, agnostic of the kernel. Can i take this to be a guarantee against aliasing, or can aliasing be "hidden" by the reconstruction process?




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periodic trends - Comparing radii in lithium, beryllium, magnesium, aluminium and sodium ions

Apparently the of last four, $\ce{Mg^2+}$ is closest in radius to $\ce{Li+}$. Is this true, and if so, why would a whole larger shell ($\ce{...