MUSCLE_TOOL_sphere_rotation_matrix.m
5af7c010655fmaster

MUSCLE_TOOL_sphere_rotation_matrix.m
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			function Mobj = MUSCLE_TOOL_sphere_rotation_matrix(Pv, Sv, Ov)
			% UICONTROL Callback constructs the sphere rotation matrix (sphere wrap)
			%--------------------------------------------------------------------------
			% Syntax :
			% Mobj = MUSCLE_TOOL_sphere_rotation_matrix(Pv, Sv, Ov)
			%--------------------------------------------------------------------------
			%
			% File Description :
			% This function constructs the sphere rotation matrix used on the sphere
			% wrapping algorithm.
			%--------------------------------------------------------------------------

			% Initialise the output
			Mobj = [];

			% Define the X-axis
			Ex = Sv - Ov;
			Ex = Ex/norm(Ex);

			% Colinearity of PvOv & SvOv?
			e1 = Pv - Ov; e2 = Sv - Ov;
			Ez = [];
			if isequal(acos(e1'e2/(norm(e1)norm(e2))), pi) == 1
			if e2(1) == 0
			if e2(2) == 0
			Ez_z = (-e2(1)-e2(2))/e2(3);
			Ez = [1; 1; Ez_z];
			else
			Ez_y = (-e2(1)-e2(3))/e2(2);
			Ez = [1; Ez_y; 1];
			end
			else
			Ez_x = (-e2(2)-e2(3))/e2(1);
			Ez = [Ez_x; 1; 1];
			end
			else
			Ez = cross(Pv - Ov, Sv - Ov); Ez = Ez/norm(Ez);
			end

			% Define the y-axis
			Ey = cross(Ez, Ex);
			Ey = Ey/norm(Ey);

			% Matrix : Plane frame -> Object Frame
			Mobj = [Ex, Ey, Ez];


			return;