# Lecture-12 - Lecture-12 Hough Transform Examples Hough...

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1 Lecture-12 Hough Transform Examples Hough Space

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2 Fitting Lines In an Image Fitting Lines In an Image
3 Fitting lines in an image Fitting Circles

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4 Fitting Circles Detecting Lines in Gray Level Images Detect yellow line in the middle Use gray levels instead of edged Increment the parameter space by gray level at a pixel instead of by 1.
5 Pyramids • Very useful for representing images. • Pyramid is built by using multiple copies of image. • Each level in the pyramid is 1/4 of the size of previous level. • The lowest level is of the highest resolution. • The highest level is of the lowest resolution. Pyramid

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6 Gaussian Pyramids ) 2 , 2 ( ) , ( ) , ( 2 2 2 2 1 n j m i g n m w j i g m n l l + + = ∑∑ - = - = - g REDUCE g l l = - [ ] 1 Convolution
7 Gaussian Pyramids ] [ 1 , , - = n l n l g EXPAND g ) 2 , 2 ( ) , ( ) , ( 2 2 2 2 1 , , q j p i g q p w j i g p q n l n l - - = ∑ ∑ - = - = - Reduce (1D) ) 2 ( ) ( ˆ ) ( 2 2 1 m i g m w i g m l l + = - = - ) 2 4 ( ) 2 ( ˆ ) 1 4 ( ) 1

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## This note was uploaded on 06/12/2011 for the course CAP 5415 taught by Professor Staff during the Fall '08 term at University of Central Florida.

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Lecture-12 - Lecture-12 Hough Transform Examples Hough...

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