Failed to load a mesh from gptoolbox. I am missing something, what is it?
% 1. Load a Mesh
[V, F] = readOFF(‘D:Conferences and WorkshopsSG SummerMFC – Scodesgptoolbox-mastergptoolbox-mastermesh.off’);
% 2. Display the Mesh
figure;
trisurf(F, V(:,1), V(:,2), V(:,3), ‘FaceColor’, ‘cyan’, ‘EdgeColor’, ‘none’);
axis equal;
lighting gouraud;
camlight;
title(‘Original Mesh’);
xlabel(‘X’);
ylabel(‘Y’);
zlabel(‘Z’);
% Define the number of iterations and timestep for smoothing
num_iterations = 100;
time_step = 0.01;
% 3. Mean Curvature Flow (MCF) – Explicit Method
V_explicit = V; % Copy the vertices for the explicit method
for iter = 1:num_iterations
% Compute the Laplace-Beltrami operator and mean curvature normal
L = cotmatrix(V_explicit, F);
HN = -L * V_explicit;
% Update vertex positions
V_explicit = V_explicit + time_step * HN;
end
% Display the smoothed mesh – Explicit Method
figure;
trisurf(F, V_explicit(:,1), V_explicit(:,2), V_explicit(:,3), ‘FaceColor’, ‘cyan’, ‘EdgeColor’, ‘none’);
axis equal;
lighting gouraud;
camlight;
title(‘MCF – Explicit Method’);
xlabel(‘X’);
ylabel(‘Y’);
zlabel(‘Z’);
% 3. Mean Curvature Flow (MCF) – Semi-Implicit Method
V_implicit = V; % Copy the vertices for the implicit method
for iter = 1:num_iterations
% Compute the Laplace-Beltrami operator
L = cotmatrix(V_implicit, F);
% Solve (I – time_step * L) * V_new = V_old
V_implicit = (speye(size(V_implicit, 1)) – time_step * L) V_implicit;
end
% Display the smoothed mesh – Semi-Implicit Method
figure;
trisurf(F, V_implicit(:,1), V_implicit(:,2), V_implicit(:,3), ‘FaceColor’, ‘cyan’, ‘EdgeColor’, ‘none’);
axis equal;
lighting gouraud;
camlight;
title(‘MCF – Semi-Implicit Method’);
xlabel(‘X’);
ylabel(‘Y’);
zlabel(‘Z’);
here is the link to loadmesh function: https://github.com/geometry-processing/gptoolbox/blob/master/mesh/load_mesh.m
and the readOFF: https://github.com/geometry-processing/gptoolbox/blob/master/mesh/readOFF.m% 1. Load a Mesh
[V, F] = readOFF(‘D:Conferences and WorkshopsSG SummerMFC – Scodesgptoolbox-mastergptoolbox-mastermesh.off’);
% 2. Display the Mesh
figure;
trisurf(F, V(:,1), V(:,2), V(:,3), ‘FaceColor’, ‘cyan’, ‘EdgeColor’, ‘none’);
axis equal;
lighting gouraud;
camlight;
title(‘Original Mesh’);
xlabel(‘X’);
ylabel(‘Y’);
zlabel(‘Z’);
% Define the number of iterations and timestep for smoothing
num_iterations = 100;
time_step = 0.01;
% 3. Mean Curvature Flow (MCF) – Explicit Method
V_explicit = V; % Copy the vertices for the explicit method
for iter = 1:num_iterations
% Compute the Laplace-Beltrami operator and mean curvature normal
L = cotmatrix(V_explicit, F);
HN = -L * V_explicit;
% Update vertex positions
V_explicit = V_explicit + time_step * HN;
end
% Display the smoothed mesh – Explicit Method
figure;
trisurf(F, V_explicit(:,1), V_explicit(:,2), V_explicit(:,3), ‘FaceColor’, ‘cyan’, ‘EdgeColor’, ‘none’);
axis equal;
lighting gouraud;
camlight;
title(‘MCF – Explicit Method’);
xlabel(‘X’);
ylabel(‘Y’);
zlabel(‘Z’);
% 3. Mean Curvature Flow (MCF) – Semi-Implicit Method
V_implicit = V; % Copy the vertices for the implicit method
for iter = 1:num_iterations
% Compute the Laplace-Beltrami operator
L = cotmatrix(V_implicit, F);
% Solve (I – time_step * L) * V_new = V_old
V_implicit = (speye(size(V_implicit, 1)) – time_step * L) V_implicit;
end
% Display the smoothed mesh – Semi-Implicit Method
figure;
trisurf(F, V_implicit(:,1), V_implicit(:,2), V_implicit(:,3), ‘FaceColor’, ‘cyan’, ‘EdgeColor’, ‘none’);
axis equal;
lighting gouraud;
camlight;
title(‘MCF – Semi-Implicit Method’);
xlabel(‘X’);
ylabel(‘Y’);
zlabel(‘Z’);
here is the link to loadmesh function: https://github.com/geometry-processing/gptoolbox/blob/master/mesh/load_mesh.m
and the readOFF: https://github.com/geometry-processing/gptoolbox/blob/master/mesh/readOFF.m % 1. Load a Mesh
[V, F] = readOFF(‘D:Conferences and WorkshopsSG SummerMFC – Scodesgptoolbox-mastergptoolbox-mastermesh.off’);
% 2. Display the Mesh
figure;
trisurf(F, V(:,1), V(:,2), V(:,3), ‘FaceColor’, ‘cyan’, ‘EdgeColor’, ‘none’);
axis equal;
lighting gouraud;
camlight;
title(‘Original Mesh’);
xlabel(‘X’);
ylabel(‘Y’);
zlabel(‘Z’);
% Define the number of iterations and timestep for smoothing
num_iterations = 100;
time_step = 0.01;
% 3. Mean Curvature Flow (MCF) – Explicit Method
V_explicit = V; % Copy the vertices for the explicit method
for iter = 1:num_iterations
% Compute the Laplace-Beltrami operator and mean curvature normal
L = cotmatrix(V_explicit, F);
HN = -L * V_explicit;
% Update vertex positions
V_explicit = V_explicit + time_step * HN;
end
% Display the smoothed mesh – Explicit Method
figure;
trisurf(F, V_explicit(:,1), V_explicit(:,2), V_explicit(:,3), ‘FaceColor’, ‘cyan’, ‘EdgeColor’, ‘none’);
axis equal;
lighting gouraud;
camlight;
title(‘MCF – Explicit Method’);
xlabel(‘X’);
ylabel(‘Y’);
zlabel(‘Z’);
% 3. Mean Curvature Flow (MCF) – Semi-Implicit Method
V_implicit = V; % Copy the vertices for the implicit method
for iter = 1:num_iterations
% Compute the Laplace-Beltrami operator
L = cotmatrix(V_implicit, F);
% Solve (I – time_step * L) * V_new = V_old
V_implicit = (speye(size(V_implicit, 1)) – time_step * L) V_implicit;
end
% Display the smoothed mesh – Semi-Implicit Method
figure;
trisurf(F, V_implicit(:,1), V_implicit(:,2), V_implicit(:,3), ‘FaceColor’, ‘cyan’, ‘EdgeColor’, ‘none’);
axis equal;
lighting gouraud;
camlight;
title(‘MCF – Semi-Implicit Method’);
xlabel(‘X’);
ylabel(‘Y’);
zlabel(‘Z’);
here is the link to loadmesh function: https://github.com/geometry-processing/gptoolbox/blob/master/mesh/load_mesh.m
and the readOFF: https://github.com/geometry-processing/gptoolbox/blob/master/mesh/readOFF.m gpu, gp, image processing, mesh MATLAB Answers — New Questions
