% -*- texinfo -*- % @deftypefn {Function File} {[@var{varargout}]} = MSH2Mtopprop(@var{mesh}, [@var{string1}, @var{string2},...]) % % Computes some topological properties of the mesh @var{mesh}. % % Input: % @itemize @minus % @item @var{mesh}: mesh structure with (at least) fields @code{p}, % @code{e} and @code{t} a detailed in the help for @code{MSH2Mstructmesh}. % @item @var{string1}, @var{string2},...: properties to compute, % available choices are: % % @itemize @bullet % @item 'n' (neighbouring triangles): a matrix @code{M} of size 3 by % the number of elements. Element @code{M(i,j)} will be the index of % the mesh element sharing with elemnt number @code{j} its % @code{i}-th edge if no such element exists (i.e. for boundary % edges) a value of @code{NaN} is set. % @item 'sides' (global edge matrix): a matrix @code{M} of size 2 by % total number of edges. Element @code{M(i,j)} will be the index of % the vertex at the @code{i}-th end of the @code{j}-th edge. % @item 'ts' (triangle sides matrix): a matrix @code{M} of size 3 by % number of elements. Element @code{M(i,j)} will be the index of the % @code{i}-th side of the @code{j}-th mesh element. % @item 'tws' (trg with sides matrix):a matrix @code{M} of size 2 by % the total number of edges. % @code{M(:,j)} will the set of indeces of the mesh % elements to whose boundary the @code{j}-th mesh edge belongs. % For an edge @code{j} belonging to one triangle onlly (an external % boundary edge) @code{M(2,j) = NaN}. % @item 'coinc' (coincident circumcenter matrix): a matrix @code{M} % with 2 rows. % Each column will contain the indices of two triangles sharing the % same circumcenter. % @item 'boundary' (boundary edge matrix): a matrix @code{M} of size 2 % times the total number of boundary edges. % @code{M(1,:)} will be the set of mesh elements (possibly repeated) % with at least one edge belonging to the external boundary. % @code{0 < M(2,j) < 4} will be the (local) index of an edge of the % @code{j}-th mesh element that lies on the external boundary. % @end itemize % @end itemize % % The output will contain the geometrical properties requested in the input in the same order specified in the function call % @seealso{MSHM2geomprop} % @end deftypefn