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Differential Geometry And Difference Geometry?

  1. Oct 29, 2004 #1
    HELLO ALL,
    I AM StUDYING DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS IN IMAGE PROCESSING. WHAT EVERYBODY DOES IS THAT TREATS THE IMAGE OR OBJECT AS A CURVE OR A SURFACE AND USES VARIOUS DIFFERENTIAL GEOMETRY OPERATORS TO GET THE DESIRED RESULT, FIRST IN THE CONTINUOS DOMAIN AND THEN FOR IMPLEMENTATION PURPOSES, DISCRETIZES THE RESULTS AND EQUATION.
    I WANTED TO KNOW WHETHER SOMETHING LIKE DIFFERENCE GEOMETRY EXISTS, WHICH BEGINS ITSELF ON THE DISCRETE DOMAIN AND OPERATES IN THE DISCRETE MODE, SO AS NOT TO TREAT THE IMPLEMENTATION ISSUE SEPARATELY.
    YOUR HELP WILL B HIGHLY APPRECIATED.
    aditya_tatu@da-iict.org
     
    Last edited: Oct 30, 2004
  2. jcsd
  3. Oct 31, 2004 #2

    robphy

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