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Though analyzing a single scalar field using Morse complexes is well studied,there are few techniques for visualizing a collection of Morse complexes. Wefocus on analyses that are enabled by looking at a Morse complex as an embeddeddomain decomposition. Specifically, we target 2D scalar fields, and we encodethe Morse complex through binary images of the boundaries of decomposition.Then we use image-based autoencoders to create a feature space for the Morsecomplexes. We apply additional dimensionality reduction methods to construct ascatterplot as a visual interface of the feature space. This allows us toinvestigate individual Morse complexes, as they relate to the collection,through interaction with the scatterplot. We demonstrate our approach using asynthetic data set, microscopy images, and time-varying vorticity magnitudefields of flow. Through these, we show that our method can produce insightsabout structures within the collection of Morse complexes.

Autoencoder-Aided Visualization of Collections of Morse Complexes