Principles of2011

# Principles of2011 - 1/19/2011 Principles of Mathematical...

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1/19/2011 1 Principles of 1/18/2011 Mathematical Modeling Real Life Examples of Image Processing y Photoshop’s content aware fill y iPhone translates sign in real time y Line detection y Target tracking y Object recognition y RFP (fine line detection, see next slide for a sample image)

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1/19/2011 2 Sample Images Modeling Process Real World Data Mathematical Model Simplification Analysis Verification Mathematical Conclusion Prediction/ Explanation Interpretation
1/19/2011 3 Simplification y Assumptions y Approximations y Physical Laws y Visualization y Identify the Variables Analysis y Solve the Equations y Approximate the Solutions y Study the Behavior of the Solution y Visualization (plot)

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1/19/2011 4 Interpretation y Does the Solution Make Sense? y Compare with Real World Data y Extrapolation (Prediction) y Interpolation Verification y How Close? y Does the Model Work with Different Input Data?
1/19/2011 5 Typical Relation Between Variables y Proportionality y Two variables x and y are proportional (to each other) if one

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## This note was uploaded on 01/16/2012 for the course MAD 4103 taught by Professor Li during the Spring '11 term at University of Central Florida.

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Principles of2011 - 1/19/2011 Principles of Mathematical...

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