Geomatplot

Geomatplot is a Matlab interactive plot library that is not unlike Geogebra.

Main features

1. Interactive geometry library
2. Efficient update through the dependency graph
3. User defined callback functions for programming
4. Easy to use

Requires

1. Image Processing Toolbox
2. Mapping Toolbox (for intersection)

Geogebra-like example

clf; Geomatplot; ylim([-0.4 0.6])
A = Point([0  0]); % draggable point, automatically labelled A
B = Point([1  0]); % automatic labels are applied if no label is given
C = Point([.7 .5]);
Segment({A,B},'b'); % a blue segment from A and B
Segment({B,C},'b');
Segment({C,A},'b');
Midpoint('S',{A,B,C}); % Barycenter of triangle labelled S
Circle({A,B,C},'m--'); % Magenta dashed circumcircle of the triangle
PerpendicularBisector({A,B},':');
PerpendicularBisector({B,C},':');
PerpendicularBisector({C,A},':');
AngleBisector({A,B,C},':');
AngleBisector({B,C,A},':');
AngleBisector({C,A,B},':');

Parametric curve and 2D function visualization

clf; g = Geomatplot;
b0 = Point('b0',[0.1 0.2],'r'); % draggable control points
b1 = Point('b1',[0.7 0.9],'r'); % with given labels
b2 = Point('b2',[0.9 0.2],'r');
c1 = Point('c1',[-.5 0],'k','MarkerSize',5); % adjustable corner
c2 = Point('c2',[1.5 1],'k','MarkerSize',5); %   for the image
% parametric callback with t in [0,1] and dependent variables:
bt = @(t,b0,b1,b2)  b0.*(1-t).^2 + 2*b1.*t.*(1-t) + b2.*t.^2;
Curve(bt,{b0,b1,b2},'r'); % A red quadratic Bézier curve
Image(@dist2bezier,{b0,b1,b2},c1,c2); colorbar;
% where 'dist2bezier' is a (x,y,b0,b1,b2) -> real function

Query data

>> disp(g)
Geomatplot with 5 movable and 2 dependent plots:
 label : type     mean pos   |   labels : callback                                         
  'b0' : mpoint [0.10 0.20]  |          :                                                  
  'b1' : mpoint [0.70 0.90]  |          :                                                  
  'b2' : mpoint [0.90 0.20]  |          :                                                  
  'c1' : mpoint [-0.50 0.00] |          :                                                  
  'c2' : mpoint [1.50 1.00]  |          :                                                  
   'a' : dcurve [0.57 0.43]  | b0,b1,b2 : @(t,b0,b1,b2)b0.*(1-t).^2+2*b1.*t.*(1-t)+b2.*t.^2
   'A' : dimage [0.50 0.50]  | b0,b1,b2 : bezdist                                          
  Methods, Events, Superclasses