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| author | skachano <skachano@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2016-10-19 08:19:49 +0000 |
|---|---|---|
| committer | skachano <skachano@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2016-10-19 08:19:49 +0000 |
| commit | fe79f2dcfd8b1540485d8a81fa7cedd07f5c8fac (patch) | |
| tree | e524046b049b3596056e1d42bee8d339c9fcbf3f /src/Witness_complex/doc | |
| parent | 2fbcf3afe9bf246774ace4ff8b3524b45b2a869b (diff) | |
Clément's remarks
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/relaxed-witness@1735 636b058d-ea47-450e-bf9e-a15bfbe3eedb
Former-commit-id: c3bc66a081a0bc73874246e1e12ab98c6bf2a53e
Diffstat (limited to 'src/Witness_complex/doc')
| -rw-r--r-- | src/Witness_complex/doc/Witness_complex_doc.h | 10 |
1 files changed, 8 insertions, 2 deletions
diff --git a/src/Witness_complex/doc/Witness_complex_doc.h b/src/Witness_complex/doc/Witness_complex_doc.h index 4f3671e5..2831f107 100644 --- a/src/Witness_complex/doc/Witness_complex_doc.h +++ b/src/Witness_complex/doc/Witness_complex_doc.h @@ -17,7 +17,7 @@ Even though often the set of landmarks \f$L\f$ is a subset of the set of witnesses \f$ W\f$, it is not a requirement for the current implementation. - The simplices are based on landmarks + Landmarks are the vertices of the simplicial complex and witnesses help to decide on which simplices are inserted via a predicate "is witnessed". De Silva and Carlsson in their paper \cite de2004topological differentiate **weak witnessing** and **strong witnessing**: @@ -47,7 +47,13 @@ The constructors take on the step 1, while the function 'create_complex' executes the steps 2 and 3. - \section witnessexamples Examples + \section witnessexample1 Example 1: Constructing weak relaxed witness complex from an off file + + Let's start with a simple example, which reads an off point file and computes a weak witness complex. + + \include Witness_complex/example_witness_complex_off.cpp + + \section witnessexample2 Example2: Computing persistence using strong relaxed witness complex Here is an example of constructing a strong witness complex filtration and computing persistence on it: |