From 300914816e3e5d347efd9eaa5d06c236ad81511e Mon Sep 17 00:00:00 2001 From: cjamin Date: Thu, 5 Oct 2017 08:26:50 +0000 Subject: Move some utils + update doc so that utilities are shown as examples git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/add_utils_in_gudhi_v2@2756 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: a707d174a382da7efad3d12a73bb66d2c90da599 --- src/Rips_complex/utilities/README | 66 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 66 insertions(+) create mode 100644 src/Rips_complex/utilities/README (limited to 'src/Rips_complex/utilities/README') diff --git a/src/Rips_complex/utilities/README b/src/Rips_complex/utilities/README new file mode 100644 index 00000000..ddb7860f --- /dev/null +++ b/src/Rips_complex/utilities/README @@ -0,0 +1,66 @@ +# Rips_complex # + +## `rips_persistence` ## +This program computes the persistent homology with coefficient field *Z/pZ* of a Rips complex defined on a set of input points. The output diagram contains one bar per line, written with the convention: + +`p dim b d` + +where `dim` is the dimension of the homological feature, `b` and `d` are respectively the birth and death of the feature, and `p` is the characteristic of the field *Z/pZ* used for homology coefficients (`p = p1*...*pr` is the product of prime numbers *pi* such that the homology feature exists in homology with *Z/piZ* coefficients). + +**Usage** +`rips_persistence [options] ` + +**Allowed options** + +* `-h [ --help ]` Produce help message +* `-r [ --max-edge-length ]` (default = inf) Maximal length of an edge for the Rips complex construction. +* `-d [ --cpx-dimension ]` (default = 1) Maximal dimension of the Rips complex we want to compute. +* `-p [ --field-charac ]` (default = 11) Characteristic p of the coefficient field Z/pZ for computing homology. +* `-m [ --min-persistence ]` (default = 0) Minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals. + +**Example 1 with Z/2Z coefficients** +`rips_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.5 -d 3 -p 2` + +outputs: +``` +2 0 0 inf +2 1 0.0983494 inf +2 1 0.104347 inf +2 2 0.138335 inf +``` + +**Example 2 with Z/3Z coefficients** + +rips_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.5 -d 3 -p 3 + +outputs: +``` +3 0 0 inf +3 1 0.0983494 inf +3 1 0.104347 inf +3 2 0.138335 inf +``` + + + + +## `rips_distance_matrix_persistence` ## +Same as `rips_persistence` but taking an distance matrix as input. + +**Example** +`rips_distance_matrix_persistence data/distance_matrix/full_square_distance_matrix.csv -r 15 -d 3 -p 3 -m 0` + +outputs: +``` +The complex contains 46 simplices + and has dimension 3 +3 0 0 inf +3 0 0 8.94427 +3 0 0 7.28011 +3 0 0 6.08276 +3 0 0 5.83095 +3 0 0 5.38516 +3 0 0 5 +3 1 11 12.0416 +3 1 6.32456 6.7082 +``` -- cgit v1.2.3