Summary edit

Descripiton edit

The intent is to show that any imaging system will cause some blurring of the image, which will cause fine structures to become less and less visible the finer they are. On the rightmost side of the image, there is not any structure visible anymore. The original image (without blurring) is shown here:

You clearly see that the blurring has destroyed the information about the fine structure and there is no way to get it back, if you only have the blurred image. This image

shows the comparison between blurred and original image as intensity plot. The green line corresponds to the blurred image.

Creation Procedure edit

# Python script
from math import *
def f(x):
	return (1.0+floor(sin(10*x*x-0.3)))
l=[]
for x in range(0,2000,1):
	l+=[ f(x/300.0)]



def zz(l):
	o=[]
	for i in range(len(l)):
		zs=0.0
		s=0.0
		for k in range(20):
			j=(k-10)
			z=exp(-0.03*(j*j))
			try:
				n=l[i+j]
				zs+=z
				s+=n*z
			except:
				None
		o+=[(s/(1.0*zs))]
		#except:	#	o+=[0.0]
	return o
out=zz(l)
out=zz(out)
out=zz(out)
out=zz(out)
out=zz(out)
out=zz(out)
out=zz(out)

for i in range(len(out)-700):
	print ""
	for j in range(100):
		print i,j,out[i+100],l[i+100] 
 # plot the result unsing gnuplot with pm3d

Licensing edit

I, the copyright holder of this work, hereby publish it under the following licenses:

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue

	This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
	You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
	This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue

You may select the license of your choice.