Persistent diagram of onedimensional data
Mahdi Kooshkbaghi
Dear all,
It could be more conceptual issue about the topic rather than software issue. I wonder how can I generate persistent diagrams for the scalar field via Dionysus? I have attached the figure from "Persistent homology survey by H. E. and J. H". I am trying to understand and plot something similar. Thanks, Mahdi PS: for two and moredimensional data I can understand and play with package to get the persistence diagrams.


Dmitriy Morozov
Hi Mahdi, Below is an example that does what you want, I think. It boils down to generating the lowerstar filtration of a piecewiselinear function whose values you give as a NumPy array [1]. The plot of the persistence diagram is missing the point at infinity, although the diagram itself (dgm[0]) has that point. Dmitriy import dionysus as d import numpy as np import matplotlib.pyplot as plt a = np.array([10,4,7,3,9,2,12], dtype='f4') plt.plot(a) plt.show() f = d.fill_freudenthal(a) p = d.homology_persistence(f) dgm = d.init_diagrams(p,f) d.plot.plot_diagram(dgm[0], show=True)
On Tue, Mar 20, 2018 at 2:28 PM, <mahdik@...> wrote: Dear all,


Mahdi Kooshkbaghi
Dear Dimitry,
Thank you very much. Even your short description solve my conceptual problem. Best, Mahdi

