Image Sampling Methods

 

Due to the extremely hideous job word does of putting images into the document, I offer small pictures with links to

the real thing.

 

 

Analytic  Solution:

The exact integral solution to the equation:

(0.5 / ny)*(y + 0.5 + (0.5 / ky)*(sin(ky * (y+1)*(y+1)) - sin(ky * y*y)))*

(1.0            / nx)*(x + 0.5 + (0.5 / kx)*(sin(kx * (x+1)*(x+1)) - sin(kx * x*x)))

 

 

 

Monte Carlo Integration, Random 16 samples                                                                                                 

 

 

Monte Carlo Integration, Random 100 Samples

 

 

Monte Carlo Integration, 16 Stratified Samples

 

Monte Carlo Integration, 100 Stratified Samples

 

B-Spline, 100 samples

 

Density Estimation, 100 Random samples

 

Density Estimation, 100 Stratified samples

 

Metropolis Transport, 4 iterations

 

Metropolis Transport, 16 iterations