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authorglisse <glisse@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2018-02-01 18:19:00 +0000
committerglisse <glisse@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2018-02-01 18:19:00 +0000
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Merge from trunk.
hand-merge README that moved to *.md. git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/sparserips-glisse@3201 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: f1922a265c79937e507bbb963875d21fae88069e
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+
+# Witness complex #
+
+
+For more details about the witness complex, please read the [user manual of the package](/doc/latest/group__witness__complex.html).
+
+## weak_witness_persistence ##
+This program computes the persistent homology with coefficient field *Z/pZ* of a Weak witness complex defined on a set of input points.
+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.
+
+**Usage**
+
+`weak_witness_persistence [options] <OFF input file>`
+
+**Allowed options**
+
+* `-h [ --help ]` Produce help message
+* `-l [ --landmarks ]` Number of landmarks to choose from the point cloud.
+* `-o [ --output-file ]` Name of file in which the persistence diagram is written. By default, print in std::cout.
+* `-a [ --max-sq-alpha ]` (default = inf) Maximal squared relaxation parameter.
+* `-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.
+* `-d [ --cpx-dimension ]` (default = 2147483647) Maximal dimension of the weak witness complex we want to compute.
+
+**Example**
+
+`weak_witness_persistence data/points/tore3D_1307.off -l 20 -a 0.5 -m 0.006`
+
+N.B.: output is random as the 20 landmarks are chosen randomly.
+
+
+## strong_witness_persistence ##
+
+This program computes the persistent homology with coefficient field *Z/pZ* of a Strong witness complex defined on a set of input points.
+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.
+
+**Usage**
+
+`strong_witness_persistence [options] <OFF input file>`
+
+**Allowed options**
+
+* `-h [ --help ]` Produce help message
+* `-l [ --landmarks ]` Number of landmarks to choose from the point cloud.
+* `-o [ --output-file ]` Name of file in which the persistence diagram is written. By default, print in std::cout.
+* `-a [ --max-sq-alpha ]` (default = inf) Maximal squared relaxation parameter.
+* `-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.
+* `-d [ --cpx-dimension ]` (default = 2147483647) Maximal dimension of the weak witness complex we want to compute.
+
+**Example**
+
+`strong_witness_persistence data/points/tore3D_1307.off -l 20 -a 0.5 -m 0.06`
+
+N.B.: output is random as the 20 landmarks are chosen randomly.