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We present here the result of continuation work, performed to further fulfillthe vision we outlined in [Harel,Lekien,P\'eba\"y-2017] for the visualizationand analysis of tree-based adaptive mesh refinement (AMR) simulations, usingthe hypertree grid paradigm which we proposed.  The first filter presented hereafter implements an adaptive approach in orderto accelerate the rendering of 2-dimensional AMR grids, hereby solving theproblem posed by the loss of interactivity that occurs when dealing with largeand/or deeply refined meshes. Specifically, view parameters are taken intoaccount, in order to: on one hand, avoid creating surface elements that areoutside of the view area; on the other hand, utilize level-of-detail propertiesto cull those cells that are deemed too small to be visible with respect to thegiven view parameters. This adaptive approach often results in a massiveincrease in rendering performance.  In addition, two new selection filters provide data analysis capabilities, bymeans of allowing for the extraction of those cells within a hypertree gridthat are deemed relevant in some sense, either geometrically or topologically.After a description of these new algorithms, we illustrate their use within theVisualization Toolkit (VTK) in which we implemented them. This note ends withsome suggestions for subsequent work.

Two New Contributions to the Visualization of AMR Grids: I. Interactive  Rendering of Extreme-Scale 2-Dimensional Grids II. Novel Selection Filters in  Arbitrary Dimension