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== Discrete Time Interpolation ==
 
== Discrete Time Interpolation ==
  
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----
 
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'''Introduction'''
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==
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'''Introduction''' ==
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My fascination with the concept of discrete time interpolation began, when I asked Prof. Boutin if a discrete time interpolator, can ideally make a low-resolution image, a high resolution one.
 
My fascination with the concept of discrete time interpolation began, when I asked Prof. Boutin if a discrete time interpolator, can ideally make a low-resolution image, a high resolution one.
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The equations that led to the concept seemed impeccable and mathematically, it seemed to make perfect sense.
 
The equations that led to the concept seemed impeccable and mathematically, it seemed to make perfect sense.
 
   
 
   
But essentially, all we are doing is:  
+
But essentially, all we are doing is:
 +
 
* adding zeros in between samples (the result of which looks horrible by the way)
 
* adding zeros in between samples (the result of which looks horrible by the way)
 
* Low pass filtering,
 
* Low pass filtering,
* Voila! hi-res image.
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and  Voila! hi-res image. Impossible right?
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 +
After 6 hours of coding, and processing the image of my dog "Milo", countless times, I am proud to say, that it is
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"Almost Possible in the Real World"
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[[Image:DSC07983.jpg]]
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----
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==Page Map==
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----
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This page contains
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**A mathematical basis for discrete time interpolation

Revision as of 23:19, 22 September 2009

Discrete Time Interpolation


Mathematically, sure. Realistically? Let's find out.


== Introduction ==


My fascination with the concept of discrete time interpolation began, when I asked Prof. Boutin if a discrete time interpolator, can ideally make a low-resolution image, a high resolution one.

The answer was, yes. Ideally, it can.

The equations that led to the concept seemed impeccable and mathematically, it seemed to make perfect sense.

But essentially, all we are doing is:

  • adding zeros in between samples (the result of which looks horrible by the way)
  • Low pass filtering,

and Voila! hi-res image. Impossible right?

After 6 hours of coding, and processing the image of my dog "Milo", countless times, I am proud to say, that it is "Almost Possible in the Real World"

DSC07983.jpg


Page Map


This page contains

    • A mathematical basis for discrete time interpolation

Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood