function?[facets_lbp_nbr_transitionsfacets_lbp_alpha_1?facets_lbp_alpha_2]?=?mesh_LBP（facevertexfringfacet_descriptor）
%%?Computes?local?binary?pattern?on?triangular?mesh?manifold?knonw?as?mesh-LBP.?This?concept?was?introduced??in?the?papers:
%%
%%?N.Werghi??S.?Berretti?A.?D.?Bimbo?“The?Mesh-LBP:?A?framework?for?Extracting?Local?Binary?Patterns?From?Discrete?Manifolds“
%%?IEEE?Trans.?Image?Processing?Vol.24.?No.1?pp.220-235?2015.
%%
%%?N.Werghi?C.?Tortorici?S.?Berretti?A.?Del?Bimbo?揕ocal?binary?patterns?on?triangular?meshes:?Concept?and?applications??
%%?Computer?Vision?and?Image?Understanding?139:?161-177?（2015）
%%
%%?N.?Werghi?S.?Berretti?A.D.?Bimbo?P.?Pala??揟he?Mesh-LBP:?Computing?Local?Binary?Patterns?on?Discrete?Manifolds??
%%?Proc.?ICCV?2013?workshop?on?3D?
%%?Representation?and?Recognition???2013?（3dRR-13）?pp.562-569
%%
%%?Please?cite?the?above?papers?if?you?are?using?this?code
%%
%%?Input:
%%?face:???????????number_facets?x?3?array:?triangle?mesh??facets?
%%?vertex:?????????number_vertex?x?3?array:?triangle?mesh?vertices
%%?fring:??????????number_facets?x?3?array:?the?adjacency?matrix?of?the?mesh?
%%?facet_descriptor:number_facets?x?1?array:?scalar?function?on?the?mesh?it?can?be?a?shape?or?photometric?function.?
%%
%%?Output:
%%?facets_lbp_nbr_transitions:?number_facets?x?r?array:??number?of?0-1?transition?of?teh?LBP?pattern?computed?at?each?facet?of?the?manifold
%%?r?is?the?number?of?rings?constructed?around?a?central?facte?and?which?defines?the?radial?resolution?
%%?facets_lbp_alpha_1:??number_facets?x?r?array:??sum?of?the?binary?digits?computed?at?each?facet?of?the?manifold?（equation?（4）?in?the?paper?with?alpha（k）?=1
%%?facets_lbp_alpha_2:??number_facets?x?r?array:??sum?of?the?binary?digits?computed?at?each?facet?of?the?manifold?（equation?（4）?in?the?paper?with?alpha（k）?=?2^k
%%
%%?The?two?attached?data?files?sampleMesh?and?sampleMesh_Cgauss?contains?an?input?example.?
%%?sampleMesh?includes?face?vertex?and?fring.
%%?sampleMesh_Cgauss?contains?facet_Cgauss?a?scalar?function?on?sampleMesh?representating?the?Gaussian?curvature.?This?to?be?used?for?facet_descriptor?
%%
%%?copyright?（c）?Naoufel?Werghi?2014
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%%?Parameters
max_geod_rad?=?7?;???????????????????????????????????????????%?number?of?rings:?defines?the?radial?resolution?of?the?mesh-LBP
%%
nbr_facets?=?size（face1）;???????????????????????????????????%??Initialisation?of?the?multi-resolution?arrays:?1st?column?ring1?2nd?column?ring?2?...etc?
facets_lbp_nbr_transitions=??zeros（nbr_facetsmax_geod_rad）;?%??number?of?01?transition?
facets_lbp_alpha_1=??zeros（nbr_facetsmax_geod_rad）;?????????%??alpha_1?variant?corresponding?to?the?sum?of?the?LBP?digits?（or?the?number?of?1s）?
facets_lbp_alpha_2=??zeros（nbr_facetsmax_geod_rad）;?????????%??alpha_2?variant?corresponding?to

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????文件???????26461??2015-12-28?00:51??mesh_LBP.m
?????文件??????635882??2011-10-29?18:45??sampleMesh.mat
?????文件??????111956??2013-06-16?21:24??sampleMesh_Cgauss.mat
?????文件????????1314??2015-12-27?11:59??license.txt