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diff --git a/utilities/Cech_complex/cechcomplex.md b/utilities/Cech_complex/cechcomplex.md deleted file mode 100644 index f7817dbb..00000000 --- a/utilities/Cech_complex/cechcomplex.md +++ /dev/null @@ -1,38 +0,0 @@ - - -# 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` |