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Modification for boundary vertices #52

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Modification for boundary vertices #52

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34 changes: 31 additions & 3 deletions mesh/discrete_gaussian_curvature.m
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Original file line number Diff line number Diff line change
@@ -1,4 +1,4 @@
function k = discrete_gaussian_curvature(V,F)
function k = discrete_gaussian_curvature(V,F,varargin)
% DISCRETE_GAUSSIAN_CURVATURE Compute discrete gaussian curvature according
% to (9) in "Discrete Differential-Geometry Operators for Triangulated
% 2-Manifolds" [Meyer et al. 02] but without the inverse area term.
Expand All @@ -8,13 +8,41 @@
% Inputs:
% V #V by 3 list of vertex positions
% F #F by 3 list of face indies
% Optional:
% 'ModifyBoundary' followed by true of {false} whether to subtract π
% at boundary vertices
% Outputs:
% k #V by 1 list of discrete gaussian curvature values
%

% Default value
boundary = false;
% Map of parameter names to variable names
params_to_variables = containers.Map( ...
{'ModifyBoundary'}, {'boundary'});
v = 1;
while v <= numel(varargin)
param_name = varargin{v};
if isKey(params_to_variables,param_name)
assert(v+1<=numel(varargin));
v = v+1;
% Trick: use feval on anonymous function to use assignin to this workspace
feval(@()assignin('caller',params_to_variables(param_name),varargin{v}));
else
error('Unsupported parameter: %s',varargin{v});
end
v=v+1;
end

%K_G(x_i) = (2π - ∑θj)
k = 2*pi - sparse(F,1,internalangles(V,F),size(V,1),1);



% Boundary vertices
%K_G(x_i) = (π - ∑θj)
if boundary
b = outline(F);
b = unique(b(:));
k(b) = k(b) - pi;
end

end