Geodesic Surface Remeshing

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This tour explores geodesic remeshing of surfaces.

This method is introduced in

Geodesic Remeshing Using Front Propagation Gabriel Peyr and Laurent Cohen, International Journal on Computer Vision, Vol. 69(1), p.145-156, Aug. 2006.

In [2]:
addpath('toolbox_signal')
addpath('toolbox_general')
addpath('toolbox_graph')
addpath('solutions/fastmarching_6_sampling_surf')

Farthest Point Sampling

An uniform sampling of points on a surface is obtained using a greedy farthest point sampling.

Load a 3D mesh.

In [3]:
clear options;
name = 'bunny';
[vertex,faces] = read_mesh(name);
n = size(vertex,2);
options.name = name;

Display it.

In [4]:
clf;
plot_mesh(vertex,faces, options);

Pick a first point.

In [5]:
landmarks = [100];

Compute the geodesic distance to this point.

In [6]:
[D,Z,Q] = perform_fast_marching_mesh(vertex, faces, landmarks);

Display the geodesic distance to the point.

In [7]:
clf; hold on;
options.face_vertex_color = mod( 20*D/max(D),1 );
plot_mesh(vertex,faces, options);
colormap jet(256);
h = plot3(vertex(1,landmarks), vertex(2,landmarks), vertex(3,landmarks), 'r.');
set(h, 'MarkerSize', 20);