Homework #1 : Panorama from multiple photographs

 
 
 

The two images used for input with correspondence points.

 
 

Gold standard with 4 points.

Gold standard with 10 points.

Gold standard with 20 points.

Gold standard with 20 points and bilinear alpha falloff from image edges.

 
 

Errors
		4 points	10 points	20 points
DLT	algebraic error	0	0.0004099	0.0008163
	symmetric error	0	29.8661	56.5824
Normalized DLT	algebraic error	0	0.003945	0.0079
	symmetric error	0	29.6419	55.9887
Gold Standard	Sampson error	0	7.2768	13.6052
	symmetric error	0	29.5580	55.9887

 

Errors (normalized)
		4 points	10 points	20 points
DLT	algebraic error	0	0.00004099	0.00004082
	symmetric error	0	2.9866	2.8291
Normalized DLT	algebraic error	0	0.0003945	0.0003971
	symmetric error	0	2.9642	2.7994
Gold Standard	Sampson error	0	.7277	0.6803
	symmetric error	0	2.9558	2.7994

The normalized error table divides the total error by the number of points. Here we can see that increasing the number of points decreases the error. It is interesting that the normalized DLT yields a larger algebraic error, but the geometric error is less. That doesn't seem right.
 

 Data (images, points) (91K)
 Code (4K)