Do existing measures of Poincare plot geometry reflect nonlinear features of heart rate variability?

By Michael Brennan, Marimuthu Swami Palaniswami, Peter Kamen. IEEE Transactions on Biomedical Engineering, 2001

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How researchers see this paper

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Software for advanced HRV analysis (2004, background): “A common way to describe the geometry is to fit an ellipse to the graph [9].”
Support vector machines for automated gait classification (2005, methodology): “In our earlier work, Poincaré plots were used successfully in heart variability analysis [25] and for the first time, we have extended the analysis to gait, which has shown good promise in this area.”
Heart Rate Variability (HRV) Analysis: A Methodology for Organizational Neuroscience (2019, methodology): “Here we present the Poincaré plot analysis, which is one of the most commonly used nonlinear methods to assess the dynamics of HRV and can offer reliable appreciation of changes in the ANS modulation (Brennan et al., 2001; Kamen et al., 1996; Melillo, Bracale, & Pecchia, 2011).”
Heart Rate Variability in Psychology: A Review of HRV Indices and an Analysis Tutorial (2021, background): “It corresponds to a scatterplot of each NN interval plotted against its corresponding preceding interval, which approximates the cardiac system’s evolution [68].”