Persistence Diagrams — Topological Data Analysis
Vietoris-Rips filtration on point clouds. Birth-death of H₀ (components) and H₁ (loops).
Shape:
Circle (1 loop)
Figure-8 (2 loops)
Clusters (H₀)
Pure noise
Annulus
N points:
60
Noise σ:
0.05
Filtration r:
0.00
Regenerate
Animate r
H₀ (components)
H₁ (loops)
Diagonal (zero persistence)