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Minkowski functionals and Shapefinders shed light on the connectedness oflarge-scale structure by determining its topology and morphology. We use asophisticated code, SURFGEN2, to measure the Minkowski functionals andShapefinders of individual clusters by modelling cluster surfaces using the'Marching Cube 33' triangulation algorithm. In this paper, we study themorphology of simulated neutral hydrogen (HI) density fields using Shapefindersat various stages of reionization from the excursion set approach. Accompanyingthe Shapefinders, we also employ the 'largest cluster statistic' (LCS) tounderstand the percolation process. Percolation curves demonstrate that thenon-Gaussianity in the HI field increases as reionization progresses. The largeclusters in both the HI overdense and underdense excursion sets possess similarvalues of "thickness" ($T$), as well as "breadth" ($B$), but their thirdShapefinder - "length" ($L$) - becomes almost proportional to their volume. Thelarge clusters in both HI overdense and underdense segments are overwhelminglyfilamentary. The 'cross-section' of a filamentary cluster can be estimatedusing the product of the first two Shapefinders, $T \times B$. Hence the crosssections of the large clusters at the onset of percolation do not vary muchwith volume and their sizes only differ in terms of their lengths. This featureappears more vividly in HI overdense regions than in underdense regions and ismore pronounced at lower redshifts which correspond to an advanced stage ofreionization.

Studying the morphology of HI isodensity surfaces during reionization using Shapefinders and percolation analysis