Poker copilot serial number. Graph theory toolbox
Copyright (c) 2007 Gabriel Peyre

• Vtk Files

VTK is a data directory which contains examples of the VTK file format used by the Visual Toolkit. The Visual Toolkit includes functions that can read and write graphics information in a variety of formats. For completeness, the designers included a.

This toolbox contains useful functions to deal with graph and triangulation.

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The basic representation of a graph of n vertices is the adjacency matrix A where A(i,j)=1 if vertex i is linked to vertex j. A graph often comes with a geometric realization in R^d which an (d,n) matrix where vertex(:,i) is the position of the ith vertex.

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A triangulation of m faces and n vertex is represented through:
* a set of faces which is a (3,m) matrix where face(:,i) are the vertices indexes of the ith face.
* a set of vertex which is a (d,n) matrix.
The toolbox contains function to deal more easily with a triangulation data structure, and allows to retrieve vertex and face 1-ring and switch from adjacency to faces.

The graph part of the toolbox contains function to creates synthetic graph and compute shortest path (dijkstra and isomap algorithm).

This toolbox contains a lot of function to deal with spectral theory of triangulation. You can load triangulations from files and then display the resulting mesh. It allows to compute various laplacian operator, and the to compute parameterization using spectral decomposition, harmonic mapping, free boundary harmonic mapping, and isomap.

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function [vertex,face] = read_vtk(filename, verbose)

% read_vtk - read data from VTK file.

%

% [vertex,face] = read_vtk(filename, verbose);

%

% 'vertex' is a 'nb.vert x 3' array specifying the position of the vertices.

% 'face' is a 'nb.face x 3' array specifying the connectivity of the mesh.

%

% Copyright (c) Mario Richtsfeld

ifnargin<2

verbose = 1;

end

fid = fopen(filename,'r');

if( fid-1 )

error('Can't open the file.');

return;

end

str = fgets(fid); % -1 if eof

if ~strcmp(str(3:5), 'vtk')

error('The file is not a valid VTK one.');

end

%%% read header %%%

str = fgets(fid);

str = fgets(fid);

str = fgets(fid);

str = fgets(fid);

nvert = sscanf(str,'%*s %d %*s', 1);

% read vertices

[A,cnt] = fscanf(fid,'%f%f%f', 3*nvert);

if cnt~=3*nvert

warning('Problem in reading vertices.');

end

A = reshape(A, 3, cnt/3);

vertex = A;

% read polygons

str = fgets(fid);

str = fgets(fid);

info = sscanf(str,'%c %*s %*s', 1);

if((info ~='P') && (info ~='V'))

str = fgets(fid);

info = sscanf(str,'%c %*s %*s', 1);

end

if(info 'P')

nface = sscanf(str,'%*s %d %*s', 1);

[A,cnt] = fscanf(fid,'%d%d%d%dn', 4*nface);

if cnt~=4*nface

warning('Problem in reading faces.');

end

A = reshape(A, 4, cnt/4);

face = A(2:4,:)+1;

end

if(info ~='P')

face = 0;

end

% read vertex ids

if(info 'V')

nv = sscanf(str,'%*s %d %*s', 1);

[A,cnt] = fscanf(fid,'%d%dn', 2*nv);

if cnt~=2*nv

warning('Problem in reading faces.');

end

A = reshape(A, 2, cnt/2);

face = repmat(A(2,:)+1, 3, 1);

end

if((info ~='P') && (info ~='V'))

face = 0;

end

fclose(fid);

return

Vtk Files

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