OM3: An Ordered Multi-level Min-Max Representation for Interactive Progressive Visualization of Time Series
Results Illustrating the OM3 forward transform and the coefficients stored in the database. (a) The input data (bottom) with 16 samples is recursively transformed to build the four-level coefficient tree. Each tree node has two aggregate coefficients and two associated detail coefficients. To start, we replicate the input data twice to construct the coefficients at level 4, marked by the dotted box. (b) The initial database table stores the final two aggregate coefficients at the top (level 0) and all detail coefficients from the forward transforms; detail coefficients that are redundant for reconstructing the original data are marked by the blue box. (c) The additional database table stores all ordering coefficients. (d,e) Line visualizations (in black) reconstructed by the inverse transform from the aggregate coefficients on a two-pixel-wide window (d) and a four-pixel-wide window (e), where the pixels with the red boxes are missed.
06-20-2023