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-To build the examples, run in a Terminal:
-
-cd /path-to-examples/
-cmake .
-make
-
-***********************************************************************************************************************
-Example of use of RIPS:
-
-Computation of the persistent homology with Z/2Z and Z/3Z coefficients simultaneously of the Rips complex
-on points sampling a 3D torus:
-
-./rips_multifield_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.12 -d 3 -p 2 -q 3
-
-output:
-6 0 0 inf
-6 1 0.0983494 inf
-6 1 0.104347 inf
-6 2 0.138335 inf
-6 0 0 0.122545
-6 0 0 0.121171
-6 0 0 0.120964
-6 0 0 0.12057
-6 0 0 0.12047
-6 0 0 0.120414
-
-Every line is of this format: p1*...*pr dim b d
-where
- p1*...*pr is the product of prime numbers pi such that the homology feature exists in homology with Z/piZ coefficients.
- dim is the dimension of the homological feature,
- b and d are respectively the birth and death of the feature and
-
-and the computation with all Z/pZ for 2 <= p <= 71 (20 first prime numbers):
-
- ./rips_multifield_persistence ../../data/points/Kl.off -r 0.25 -m 0.5 -d 3 -p 2 -q 71
-
-output:
-557940830126698960967415390 0 0 inf
-557940830126698960967415390 1 0.0983494 inf
-557940830126698960967415390 1 0.104347 inf
-557940830126698960967415390 2 0.138335 inf
-557940830126698960967415390 0 0 0.122545
-557940830126698960967415390 0 0 0.121171
-557940830126698960967415390 0 0 0.120964
-557940830126698960967415390 0 0 0.12057
-557940830126698960967415390 0 0 0.12047
-557940830126698960967415390 0 0 0.120414
-
-***********************************************************************************************************************
-Example of use of PLAIN HOMOLOGY:
-
-This example computes the plain homology of the following simplicial complex without filtration values:
- /* Complex to build. */
- /* 1 3 */
- /* o---o */
- /* /X\ / */
- /* o---o o */
- /* 2 0 4 */
-
-./plain_homology
-
-output:
-2 0 0 inf
-2 0 0 inf
-2 1 0 inf
-
-Here we retrieve the 2 entities {0,1,2,3} and {4} (Betti numbers[0] = 2) and the hole in {0,1,3} (Betti numbers[1] = 1)