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EECE253_02_DigitalImagesAndMatlab

# EECE253_02_DigitalImagesAndMatlab - EECE/CS 253 Image...

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EECE/CS 253 Image Processing Richard Alan Peters II Department of Electrical Engineering and Computer Science Fall Semester 2011 Lecture Notes: Digital Images and Matlab This work is licensed under the Creative Commons Attribution-Noncommercial 2.5 License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc/2.5/ or send a letter to Creative Commons, 543 Howard Street, 5th Floor, San Francisco, California, 94105, USA.  .   .  .  .   .  .

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Digital Image a grid of squares, each of which contains a single color a grid of squares, each of which contains a single color each square is called a pixel (for picture element ) each square is called a pixel (for picture element ) Color images have 3 values per pixel; monochrome images have 1 value per pixel. December 6, 2011 1999-2011 by Richard Alan Peters II 2
A digital image, I , is a mapping from a 2D grid of uniformly spaced discrete points, { p = ( r,c )}, into a set of positive integer values, { I ( p )}, or a set of vector values, e.g., {[ R G B ] T ( p )} . At each column location in each row of I there is a value. The pair ( p, I ( p ) ) is called a “pixel” (for picture element ). Pixels December 6, 2011 1999-2011 by Richard Alan Peters II 3

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p = ( r,c ) is the pixel location indexed by row, r, and column, c. I ( p ) = I ( r,c ) is the value of the pixel at location p. If I ( p ) is a single number then I is monochrome. If I ( p ) is a vector (ordered list of numbers) then I has multiple bands ( e.g., a color image). Pixels December 6, 2011 1999-2011 by Richard Alan Peters II 4
Pixels Pixel Location: p = ( r , c ) Pixel Value: I ( p ) = I ( r , c ) Pixel : [ p, I ( p )] December 6, 2011 1999-2011 by Richard Alan Peters II 5

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Pixel : [ p, I ( p )] Pixels December 6, 2011 1999-2011 by Richard Alan Peters II 6
Sampling and Quantization sampled real image quantized sampled & quantized December 6, 2011 1999-2011 by Richard Alan Peters II 7

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Sampling and Quantization sampled real image quantized sampled & quantized pixel grid column index column index row index row index December 6, 2011 1999-2011 by Richard Alan Peters II 8
Sampling ) , ( c r I S ( 29 χ ρ , C I continuous image sampled image Take the average within  each square. Take the average within  each square. December 6, 2011 1999-2011 by Richard Alan Peters II 9

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Sampling ) , ( c r I S ( 29 χ ρ , C I continuous image sampled image Take the average within  each square. Take the average within  each square. December 6, 2011 1999-2011 by Richard Alan Peters II 10
Sampling ) , ( c r I S ( 29 χ ρ , C I continuous image sampled image Take the average within  each square. Take the average within  each square. December 6, 2011 1999-2011 by Richard Alan Peters II 11

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Sampling ) , ( c r I S ( 29 χ ρ , C I continuous image sampled image Take the average within  each square.
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EECE253_02_DigitalImagesAndMatlab - EECE/CS 253 Image...

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