Test transfer of SHROM to other interface families

Investigate whether SHROM transfers from drop-on-demand inkjet droplets to other interface families, including bubbles, films, and free-surface flows.

Background

The paper presents SHROM as a domain-independent combination of a metric shape representation, a neighbor graph, and a graph-regularized autoencoder. However, the demonstrated experiments concern only drop-on-demand inkjet droplets and their breakup sequences.

Transfer to other interface families is explicitly untested. The authors identify bubbles, films, and free-surface flows as the first candidate domains in which to assess whether the method’s shape-space organization and invertible latent representation remain effective.

References

The most direct route past the topology limitation is a representation that admits component birth and death natively --- elastic shape graphs, or a measure-valued formulation --- at the cost of the reparametrisation guarantees the present results rely on. Nearer at hand, the component count could be encoded as an explicit channel rather than left implicit in the connector, and the outlier filter could adapt its threshold per cluster rather than removing a fixed fraction. Whether the method transfers to other interface families --- bubbles, films, free surfaces --- is untested here and is the question we would ask first.

— A shape-similarity latent space for fluid interfaces: invertible reduced-order modelling of droplet morphology  (2609.37947 - Hashemi et al., 29 Sep 2026) in Section 5.6, “Generality” (Section \ref{sec:disc:generality}) and Conclusions