{"action":"created","comment":{"url":"https://api.github.com/repos/DGtal-team/DGtal/pulls/comments/83834896","pull_request_review_id":4649855,"id":83834896,"diff_hunk":"@@ -291,6 +291,68 @@ for the same metric/power metric, returns the input binary shape.\n concepts::CPowerSeparableMetric concepts whose main model is\n ExactPredicateLpPowerSeparableMetric, see @ref moduleMetrics\n \n+@section toric Volumetric Analysis on Toric domains\n+\n+In some specific applications, toric domains and volumetric analysis\n+of shapes in toric domains are crucial. Thanks to the separability\n+property of VoronoiMap, PowerMap (and their associated wrappers\n+DistanceTransformation and ReverseDistanceTransformation), one can\n+easily consider volumetric transformation in arbitrary dimension on\n+toric domains @cite Coeurjo2008. Note that changing the periodicity\n+property of the domain has no impact on the computational cost.\n+\n+More precisely, VoronoiMap and DistanceTransformation classes have\n+constructors allowing to specify periodicity information. In dimension\n+@e d, such periodicity information is an array with @e d boolean flags\n+where the i-th value is \\c true if the i-th dimension of the space is\n+periodic, \\c false otherwise. Hence, computation can be performed\n+either on a full toric domain, or on a domain with toricity property\n+along only one axis.\n+\n+As illustrated in the example toricdomainvolumetric.cpp, Given an\n+input image\n+\n+@image html toric-inputShape-red.png \"Input domain and sites.\"\n+\n+We consider the following distance transformation objects:\n+\n+@snippet geometry/volumes/distance/toricdomainvolumetric.cpp DTComputeToric\n+\n+The following results illustrate both distance transformation and\n+Voronoi maps. For the VoronoiMap results, points may be attached to\n+sites exterior to the initial domain. In fact such sites correspond to\n+toric replicas of existing sites within the domain. \n+\n+<center>\n+<table>\n+<tr><td>\n+Classical domain\n+</td>\n+<td>\n+Toric domain","path":"src/DGtal/geometry/doc/moduleVolumetric.dox","position":42,"original_position":42,"commit_id":"0441000e7b5011e086e916bcbaf4fbab084d29c4","original_commit_id":"0441000e7b5011e086e916bcbaf4fbab084d29c4","user":{"login":"rolanddenis","id":10435058,"avatar_url":"https://avatars.githubusercontent.com/u/10435058?v=3","gravatar_id":"","url":"https://api.github.com/users/rolanddenis","html_url":"https://github.com/rolanddenis","followers_url":"https://api.github.com/users/rolanddenis/followers","following_url":"https://api.github.com/users/rolanddenis/following{/other_user}","gists_url":"https://api.github.com/users/rolanddenis/gists{/gist_id}","starred_url":"https://api.github.com/users/rolanddenis/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/rolanddenis/subscriptions","organizations_url":"https://api.github.com/users/rolanddenis/orgs","repos_url":"https://api.github.com/users/rolanddenis/repos","events_url":"https://api.github.com/users/rolanddenis/events{/privacy}","received_events_url":"https://api.github.com/users/rolanddenis/received_events","type":"User","site_admin":false},"body":"Centered table header ? By the way, isn't there an array syntax in doxygen ?","created_at":"2016-10-18T11:42:02Z","updated_at":"2016-10-18T11:42:02Z","html_url":"https://github.com/DGtal-team/DGtal/pull/1206#discussion_r83834896","pull_request_url":"https://api.github.com/repos/DGtal-team/DGtal/pulls/1206","_links":{"self":{"href":"https://api.github.com/repos/DGtal-team/DGtal/pulls/comments/83834896"},"html":{"href":"https://github.com/DGtal-team/DGtal/pull/1206#discussion_r83834896"},"pull_request":{"href":"https://api.github.com/repos/DGtal-team/DGtal/pulls/1206"}}},"pull_request":{"url":"https://api.github.com/repos/DGtal-team/DGtal/pulls/1206","id":84432481,"html_url":"https://github.com/DGtal-team/DGtal/pull/1206","diff_url":"https://github.com/DGtal-team/DGtal/pull/1206.diff","patch_url":"https://github.com/DGtal-team/DGtal/pull/1206.patch","issue_url":"https://api.github.com/repos/DGtal-team/DGtal/issues/1206","number":1206,"state":"open","locked":false,"title":"(Reverse) Distance Transformation on Periodic Spaces","user":{"login":"rolanddenis","id":10435058,"avatar_url":"https://avatars.githubusercontent.com/u/10435058?v=3","gravatar_id":"","url":"https://api.github.com/users/rolanddenis","html_url":"https://github.com/rolanddenis","followers_url":"https://api.github.com/users/rolanddenis/followers","following_url":"https://api.github.com/users/rolanddenis/following{/other_user}","gists_url":"https://api.github.com/users/rolanddenis/gists{/gist_id}","starred_url":"https://api.github.com/users/rolanddenis/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/rolanddenis/subscriptions","organizations_url":"https://api.github.com/users/rolanddenis/orgs","repos_url":"https://api.github.com/users/rolanddenis/repos","events_url":"https://api.github.com/users/rolanddenis/events{/privacy}","received_events_url":"https://api.github.com/users/rolanddenis/received_events","type":"User","site_admin":false},"body":"# PR Description\r\n\r\nAdding per-dimension periodicity specification to VoronoiMap (+DistanceTransformation) and PowerMap (+ReverseDistanceTransformation), following [D. Coeurjolly, 2008, Distance Transformation, Reverse Distance Transformation and Discrete Medial Axis on Toric Spaces](https://hal.archives-ouvertes.fr/hal-00350154) :astonished: \r\n\r\n# Checklist\r\n- [ ] Adding per-dimension periodicity specification\r\n  - [x] VoronoiMap & DistanceTransformation\r\n  - [ ] PowerMap & ReverseDistanceTransformation\r\n- [ ] Adding methods to get bounded coordinates of nearest site.\r\n- [ ] Unit-test of your feature with [Catch](http://dgtal.org/doc/stable/moduleCatch.html).\r\n  - [x] VoronoiMap & DistanceTransformation\r\n  - [ ] PowerMap & ReverseDistanceTransformation\r\n- [ ] Doxygen documentation of the code completed (classes, methods, types, members...)\r\n  - [x] VoronoiMap & DistanceTransformation\r\n  - [ ] PowerMap & ReverseDistanceTransformation\r\n- [ ] Documentation module page added or updated.\r\n  - [x] nD Volumetric Analysis using Separable Processes (`moduleVolumetric`)\r\n  - [ ] Tutorial \"Image -> Region -> Distance Transformation\" (`tutoImageRegionDT`)\r\n- [ ] New entry in the [ChangeLog.md](https://github.com/DGtal-team/DGtal/blob/master/ChangeLog.md) added.\r\n- [ ] No warning raised in Debug ```cmake``` mode (otherwise, Travis C.I. will fail).\r\n- [ ] All continuous integration tests pass (Travis & appveyor)\r\n","created_at":"2016-09-08T08:11:26Z","updated_at":"2016-10-18T11:56:12Z","closed_at":null,"merged_at":null,"merge_commit_sha":"05eb0db88e6b1ecac0f0a9da7dec585af187f4bc","assignee":{"login":"dcoeurjo","id":700165,"avatar_url":"https://avatars.githubusercontent.com/u/700165?v=3","gravatar_id":"","url":"https://api.github.com/users/dcoeurjo","html_url":"https://github.com/dcoeurjo","followers_url":"https://api.github.com/users/dcoeurjo/followers","following_url":"https://api.github.com/users/dcoeurjo/following{/other_user}","gists_url":"https://api.github.com/users/dcoeurjo/gists{/gist_id}","starred_url":"https://api.github.com/users/dcoeurjo/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/dcoeurjo/subscriptions","organizations_url":"https://api.github.com/users/dcoeurjo/orgs","repos_url":"https://api.github.com/users/dcoeurjo/repos","events_url":"https://api.github.com/users/dcoeurjo/events{/privacy}","received_events_url":"https://api.github.com/users/dcoeurjo/received_events","type":"User","site_admin":false},"assignees":[{"login":"dcoeurjo","id":700165,"avatar_url":"https://avatars.githubusercontent.com/u/700165?v=3","gravatar_id":"","url":"https://api.github.com/users/dcoeurjo","html_url":"https://github.com/dcoeurjo","followers_url":"https://api.github.com/users/dcoeurjo/followers","following_url":"https://api.github.com/users/dcoeurjo/following{/other_user}","gists_url":"https://api.github.com/users/dcoeurjo/gists{/gist_id}","starred_url":"https://api.github.com/users/dcoeurjo/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/dcoeurjo/subscriptions","organizations_url":"https://api.github.com/users/dcoeurjo/orgs","repos_url":"https://api.github.com/users/dcoeurjo/repos","events_url":"https://api.github.com/users/dcoeurjo/events{/privacy}","received_events_url":"https://api.github.com/users/dcoeurjo/received_events","type":"User","site_admin":false}],"milestone":{"url":"https://api.github.com/repos/DGtal-team/DGtal/milestones/12","html_url":"https://github.com/DGtal-team/DGtal/milestones/0.9.3","labels_url":"https://api.github.com/repos/DGtal-team/DGtal/milestones/12/labels","id":2039490,"number":12,"title":"0.9.3","description":"","creator":{"login":"dcoeurjo","id":700165,"avatar_url":"https://avatars.githubusercontent.com/u/700165?v=3","gravatar_id":"","url":"https://api.github.com/users/dcoeurjo","html_url":"https://github.com/dcoeurjo","followers_url":"https://api.github.com/users/dcoeurjo/followers","following_url":"https://api.github.com/users/dcoeurjo/following{/other_user}","gists_url":"https://api.github.com/users/dcoeurjo/gists{/gist_id}","starred_url":"https://api.github.com/users/dcoeurjo/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/dcoeurjo/subscriptions","organizations_url":"https://api.github.com/users/dcoeurjo/orgs","repos_url":"https://api.github.com/users/dcoeurjo/repos","events_url":"https://api.github.com/users/dcoeurjo/events{/privacy}","received_events_url":"https://api.github.com/users/dcoeurjo/received_events","type":"User","site_admin":false},"open_issues":17,"closed_issues":1,"state":"open","created_at":"2016-09-30T06:58:24Z","updated_at":"2016-10-17T20:08:22Z","due_on":null,"closed_at":null},"commits_url":"https://api.github.com/repos/DGtal-team/DGtal/pulls/1206/commits","review_comments_url":"https://api.github.com/repos/DGtal-team/DGtal/pulls/1206/comments","review_comment_url":"https://api.github.com/repos/DGtal-team/DGtal/pulls/comments{/number}","comments_url":"https://api.github.com/repos/DGtal-team/DGtal/issues/1206/comments","statuses_url":"https://api.github.com/repos/DGtal-team/DGtal/statuses/0441000e7b5011e086e916bcbaf4fbab084d29c4","head":{"label":"rolanddenis:periodicVoronoiMap","ref":"periodicVoronoiMap","sha":"0441000e7b5011e086e916bcbaf4fbab084d29c4","user":{"login":"rolanddenis","id":10435058,"avatar_url":"https://avatars.githubusercontent.com/u/10435058?v=3","gravatar_id":"","url":"https://api.github.com/users/rolanddenis","html_url":"https://github.com/rolanddenis","followers_url":"https://api.github.com/users/rolanddenis/followers","following_url":"https://api.github.com/users/rolanddenis/following{/other_user}","gists_url":"https://api.github.com/users/rolanddenis/gists{/gist_id}","starred_url":"https://api.github.com/users/rolanddenis/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/rolanddenis/subscriptions","organizations_url":"https://api.github.com/users/rolanddenis/orgs","repos_url":"https://api.github.com/users/rolanddenis/repos","events_url":"https://api.github.com/users/rolanddenis/events{/privacy}","received_events_url":"https://api.github.com/users/rolanddenis/received_events","type":"User","site_admin":false},"repo":{"id":30013981,"name":"DGtal","full_name":"rolanddenis/DGtal","owner":{"login":"rolanddenis","id":10435058,"avatar_url":"https://avatars.githubusercontent.com/u/10435058?v=3","gravatar_id":"","url":"https://api.github.com/users/rolanddenis","html_url":"https://github.com/rolanddenis","followers_url":"https://api.github.com/users/rolanddenis/followers","following_url":"https://api.github.com/users/rolanddenis/following{/other_user}","gists_url":"https://api.github.com/users/rolanddenis/gists{/gist_id}","starred_url":"https://api.github.com/users/rolanddenis/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/rolanddenis/subscriptions","organizations_url":"https://api.github.com/users/rolanddenis/orgs","repos_url":"https://api.github.com/users/rolanddenis/repos","events_url":"https://api.github.com/users/rolanddenis/events{/privacy}","received_events_url":"https://api.github.com/users/rolanddenis/received_events","type":"User","site_admin":false},"private":false,"html_url":"https://github.com/rolanddenis/DGtal","description":"Digital Geometry Tools and Algorithm Library","fork":true,"url":"https://api.github.com/repos/rolanddenis/DGtal","forks_url":"https://api.github.com/repos/rolanddenis/DGtal/forks","keys_url":"https://api.github.com/repos/rolanddenis/DGtal/keys{/key_id}","collaborators_url":"https://api.github.com/repos/rolanddenis/DGtal/collaborators{/collaborator}","teams_url":"https://api.github.com/repos/rolanddenis/DGtal/teams","hooks_url":"https://api.github.com/repos/rolanddenis/DGtal/hooks","issue_events_url":"https://api.github.com/repos/rolanddenis/DGtal/issues/events{/number}","events_url":"https://api.github.com/repos/rolanddenis/DGtal/events","assignees_url":"https://api.github.com/repos/rolanddenis/DGtal/assignees{/user}","branches_url":"https://api.github.com/repos/rolanddenis/DGtal/branches{/branch}","tags_url":"https://api.github.com/repos/rolanddenis/DGtal/tags","blobs_url":"https://api.github.com/repos/rolanddenis/DGtal/git/blobs{/sha}","git_tags_url":"https://api.github.com/repos/rolanddenis/DGtal/git/tags{/sha}","git_refs_url":"https://api.github.com/repos/rolanddenis/DGtal/git/refs{/sha}","trees_url":"https://api.github.com/repos/rolanddenis/DGtal/git/trees{/sha}","statuses_url":"https://api.github.com/repos/rolanddenis/DGtal/statuses/{sha}","languages_url":"https://api.github.com/repos/rolanddenis/DGtal/languages","stargazers_url":"https://api.github.com/repos/rolanddenis/DGtal/stargazers","contributors_url":"https://api.github.com/repos/rolanddenis/DGtal/contributors","subscribers_url":"https://api.github.com/repos/rolanddenis/DGtal/subscribers","subscription_url":"https://api.github.com/repos/rolanddenis/DGtal/subscription","commits_url":"https://api.github.com/repos/rolanddenis/DGtal/commits{/sha}","git_commits_url":"https://api.github.com/repos/rolanddenis/DGtal/git/commits{/sha}","comments_url":"https://api.github.com/repos/rolanddenis/DGtal/comments{/number}","issue_comment_url":"https://api.github.com/repos/rolanddenis/DGtal/issues/comments{/number}","contents_url":"https://api.github.com/repos/rolanddenis/DGtal/contents/{+path}","compare_url":"https://api.github.com/repos/rolanddenis/DGtal/compare/{base}...{head}","merges_url":"https://api.github.com/repos/rolanddenis/DGtal/merges","archive_url":"https://api.github.com/repos/rolanddenis/DGtal/{archive_format}{/ref}","downloads_url":"https://api.github.com/repos/rolanddenis/DGtal/downloads","issues_url":"https://api.github.com/repos/rolanddenis/DGtal/issues{/number}","pulls_url":"https://api.github.com/repos/rolanddenis/DGtal/pulls{/number}","milestones_url":"https://api.github.com/repos/rolanddenis/DGtal/milestones{/number}","notifications_url":"https://api.github.com/repos/rolanddenis/DGtal/notifications{?since,all,participating}","labels_url":"https://api.github.com/repos/rolanddenis/DGtal/labels{/name}","releases_url":"https://api.github.com/repos/rolanddenis/DGtal/releases{/id}","deployments_url":"https://api.github.com/repos/rolanddenis/DGtal/deployments","created_at":"2015-01-29T09:51:01Z","updated_at":"2016-01-18T12:07:56Z","pushed_at":"2016-10-18T11:12:10Z","git_url":"git://github.com/rolanddenis/DGtal.git","ssh_url":"git@github.com:rolanddenis/DGtal.git","clone_url":"https://github.com/rolanddenis/DGtal.git","svn_url":"https://github.com/rolanddenis/DGtal","homepage":"http://dgtal.org","size":153862,"stargazers_count":0,"watchers_count":0,"language":"C++","has_issues":false,"has_downloads":true,"has_wiki":true,"has_pages":false,"forks_count":0,"mirror_url":null,"open_issues_count":0,"forks":0,"open_issues":0,"watchers":0,"default_branch":"master"}},"base":{"label":"DGtal-team:master","ref":"master","sha":"5cb63d03f55f8bfed3aec1ded31017b270a53e2c","user":{"login":"DGtal-team","id":1013900,"avatar_url":"https://avatars.githubusercontent.com/u/1013900?v=3","gravatar_id":"","url":"https://api.github.com/users/DGtal-team","html_url":"https://github.com/DGtal-team","followers_url":"https://api.github.com/users/DGtal-team/followers","following_url":"https://api.github.com/users/DGtal-team/following{/other_user}","gists_url":"https://api.github.com/users/DGtal-team/gists{/gist_id}","starred_url":"https://api.github.com/users/DGtal-team/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/DGtal-team/subscriptions","organizations_url":"https://api.github.com/users/DGtal-team/orgs","repos_url":"https://api.github.com/users/DGtal-team/repos","events_url":"https://api.github.com/users/DGtal-team/events{/privacy}","received_events_url":"https://api.github.com/users/DGtal-team/received_events","type":"Organization","site_admin":false},"repo":{"id":1709095,"name":"DGtal","full_name":"DGtal-team/DGtal","owner":{"login":"DGtal-team","id":1013900,"avatar_url":"https://avatars.githubusercontent.com/u/1013900?v=3","gravatar_id":"","url":"https://api.github.com/users/DGtal-team","html_url":"https://github.com/DGtal-team","followers_url":"https://api.github.com/users/DGtal-team/followers","following_url":"https://api.github.com/users/DGtal-team/following{/other_user}","gists_url":"https://api.github.com/users/DGtal-team/gists{/gist_id}","starred_url":"https://api.github.com/users/DGtal-team/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/DGtal-team/subscriptions","organizations_url":"https://api.github.com/users/DGtal-team/orgs","repos_url":"https://api.github.com/users/DGtal-team/repos","events_url":"https://api.github.com/users/DGtal-team/events{/privacy}","received_events_url":"https://api.github.com/users/DGtal-team/received_events","type":"Organization","site_admin":false},"private":false,"html_url":"https://github.com/DGtal-team/DGtal","description":"Digital Geometry Tools and Algorithm Library","fork":false,"url":"https://api.github.com/repos/DGtal-team/DGtal","forks_url":"https://api.github.com/repos/DGtal-team/DGtal/forks","keys_url":"https://api.github.com/repos/DGtal-team/DGtal/keys{/key_id}","collaborators_url":"https://api.github.com/repos/DGtal-team/DGtal/collaborators{/collaborator}","teams_url":"https://api.github.com/repos/DGtal-team/DGtal/teams","hooks_url":"https://api.github.com/repos/DGtal-team/DGtal/hooks","issue_events_url":"https://api.github.com/repos/DGtal-team/DGtal/issues/events{/number}","events_url":"https://api.github.com/repos/DGtal-team/DGtal/events","assignees_url":"https://api.github.com/repos/DGtal-team/DGtal/assignees{/user}","branches_url":"https://api.github.com/repos/DGtal-team/DGtal/branches{/branch}","tags_url":"https://api.github.com/repos/DGtal-team/DGtal/tags","blobs_url":"https://api.github.com/repos/DGtal-team/DGtal/git/blobs{/sha}","git_tags_url":"https://api.github.com/repos/DGtal-team/DGtal/git/tags{/sha}","git_refs_url":"https://api.github.com/repos/DGtal-team/DGtal/git/refs{/sha}","trees_url":"https://api.github.com/repos/DGtal-team/DGtal/git/trees{/sha}","statuses_url":"https://api.github.com/repos/DGtal-team/DGtal/statuses/{sha}","languages_url":"https://api.github.com/repos/DGtal-team/DGtal/languages","stargazers_url":"https://api.github.com/repos/DGtal-team/DGtal/stargazers","contributors_url":"https://api.github.com/repos/DGtal-team/DGtal/contributors","subscribers_url":"https://api.github.com/repos/DGtal-team/DGtal/subscribers","subscription_url":"https://api.github.com/repos/DGtal-team/DGtal/subscription","commits_url":"https://api.github.com/repos/DGtal-team/DGtal/commits{/sha}","git_commits_url":"https://api.github.com/repos/DGtal-team/DGtal/git/commits{/sha}","comments_url":"https://api.github.com/repos/DGtal-team/DGtal/comments{/number}","issue_comment_url":"https://api.github.com/repos/DGtal-team/DGtal/issues/comments{/number}","contents_url":"https://api.github.com/repos/DGtal-team/DGtal/contents/{+path}","compare_url":"https://api.github.com/repos/DGtal-team/DGtal/compare/{base}...{head}","merges_url":"https://api.github.com/repos/DGtal-team/DGtal/merges","archive_url":"https://api.github.com/repos/DGtal-team/DGtal/{archive_format}{/ref}","downloads_url":"https://api.github.com/repos/DGtal-team/DGtal/downloads","issues_url":"https://api.github.com/repos/DGtal-team/DGtal/issues{/number}","pulls_url":"https://api.github.com/repos/DGtal-team/DGtal/pulls{/number}","milestones_url":"https://api.github.com/repos/DGtal-team/DGtal/milestones{/number}","notifications_url":"https://api.github.com/repos/DGtal-team/DGtal/notifications{?since,all,participating}","labels_url":"https://api.github.com/repos/DGtal-team/DGtal/labels{/name}","releases_url":"https://api.github.com/repos/DGtal-team/DGtal/releases{/id}","deployments_url":"https://api.github.com/repos/DGtal-team/DGtal/deployments","created_at":"2011-05-06T00:20:52Z","updated_at":"2016-10-14T04:12:29Z","pushed_at":"2016-10-18T11:12:11Z","git_url":"git://github.com/DGtal-team/DGtal.git","ssh_url":"git@github.com:DGtal-team/DGtal.git","clone_url":"https://github.com/DGtal-team/DGtal.git","svn_url":"https://github.com/DGtal-team/DGtal","homepage":"http://dgtal.org","size":207798,"stargazers_count":52,"watchers_count":52,"language":"C++","has_issues":true,"has_downloads":true,"has_wiki":true,"has_pages":false,"forks_count":55,"mirror_url":null,"open_issues_count":45,"forks":55,"open_issues":45,"watchers":52,"default_branch":"master"}},"_links":{"self":{"href":"https://api.github.com/repos/DGtal-team/DGtal/pulls/1206"},"html":{"href":"https://github.com/DGtal-team/DGtal/pull/1206"},"issue":{"href":"https://api.github.com/repos/DGtal-team/DGtal/issues/1206"},"comments":{"href":"https://api.github.com/repos/DGtal-team/DGtal/issues/1206/comments"},"review_comments":{"href":"https://api.github.com/repos/DGtal-team/DGtal/pulls/1206/comments"},"review_comment":{"href":"https://api.github.com/repos/DGtal-team/DGtal/pulls/comments{/number}"},"commits":{"href":"https://api.github.com/repos/DGtal-team/DGtal/pulls/1206/commits"},"statuses":{"href":"https://api.github.com/repos/DGtal-team/DGtal/statuses/0441000e7b5011e086e916bcbaf4fbab084d29c4"}}}}
{"actor":{"display_login":"rolanddenis"}}