
The geodesic

Returns evaluations of the geodesic $\gamma_{x,y}\colon\mathbb R \to \M$, either equidistant at pts points (which is set to 100) by default. If t is given as a vector of evaluation poitns, this one dominates.

Matlab Documentation

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% geo = geodesic(this,x,y)
% Compute the geodesic between x and y using pts-2 points to
% interpolate
%
% INPUT
%   x,y : two points of the manifold
% OPTIONAL
%   pts : (100) optional length of geodesic, or set to length t
%               if t is chosen
%     t : vector of points lead to geo = \gamma_{x,y}(t)
%
% OUTPUT
%   geo : the geodesic between x,y evaluated at several points.
%
% ---
% Manifold-valued Image Restoration Toolbox 1.0 ~ J. Persch ~2015-10-29