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author | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2018-05-30 21:04:22 +0000 |
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committer | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2018-05-30 21:04:22 +0000 |
commit | 01cfd13aa84317debb4bf681309533b693322131 (patch) | |
tree | 178bca6c0fabe13784c1fb695a1713d722c681d9 /src/Cech_complex/utilities/cechcomplex.md | |
parent | d0aa6ea5b543c4692f6e42d12252b03d5e43a255 (diff) | |
parent | 1f1033f14cef0b5b602a23c9f35659fa0168f1b4 (diff) |
Merge last trunk modifications
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/python_2.1.0_fix_vincent@3495 636b058d-ea47-450e-bf9e-a15bfbe3eedb
Former-commit-id: 4033114216c767ad4028e3f6d4ccb5f5dfb88f78
Diffstat (limited to 'src/Cech_complex/utilities/cechcomplex.md')
-rw-r--r-- | src/Cech_complex/utilities/cechcomplex.md | 38 |
1 files changed, 38 insertions, 0 deletions
diff --git a/src/Cech_complex/utilities/cechcomplex.md b/src/Cech_complex/utilities/cechcomplex.md new file mode 100644 index 00000000..f7817dbb --- /dev/null +++ b/src/Cech_complex/utilities/cechcomplex.md @@ -0,0 +1,38 @@ + + +# Čech complex # + +## cech_persistence ## +This program computes the persistent homology with coefficient field *Z/pZ* of +a Čech complex defined on a set of input points, using Euclidean distance. The +output diagram contains one bar per line, written with the convention: + +`p dim birth death` + +where `dim` is the dimension of the homological feature, `birth` and `death` +are respectively the birth and death of the feature, and `p` is the +characteristic of the field *Z/pZ* used for homology coefficients (`p` must be +a prime number). + +**Usage** + +`cech_persistence [options] <OFF input file>` + +**Allowed options** + +* `-h [ --help ]` Produce help message +* `-o [ --output-file ]` Name of file in which the persistence diagram is written. Default print in standard output. +* `-r [ --max-edge-length ]` (default = inf) Maximal length of an edge for the Čech complex construction. +* `-d [ --cpx-dimension ]` (default = 1) Maximal dimension of the Čech 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. + +Beware: this program may use a lot of RAM and take a lot of time if `max-edge-length` is set to a large value. + +**Example 1 with Z/2Z coefficients** + +`cech_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.5 -d 3 -p 2` + +**Example 2 with Z/3Z coefficients** + +`cech_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.5 -d 3 -p 3` |