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Unformatted text preview: 1/27/2011 Math Modeling I, Spring 2011 (Xin Li, UCF) 1 Hough Transform LINE DETECTION Hough Transform DETECTING LINES IN AN IMAGE Edge detection tells us where edges are, but not what they are (geometric descriptions like not what they are (geometric descriptions like line, arcs, etc.) The next step is to find out if there is any line (or line segment) in the image Formulation of line detection problem: Given a Formulation of line detection problem: Given a set of edge points ( x 1 ,y 1 ), ( x 2 ,y 2 ), , ( x N ,y N ) determine if there are any lines that contain enough of these edge points. 1/27/2011 Math Modeling I, Spring 2011 (Xin Li, UCF) 2 LINE EQUATIONS A line in xy-plane can be given by an equation of the form: y=m*x+k , m= slope, k= (y-)intercept To detect a line y=m*x+k among edge points ( x i ,y i ) in an image, we need to see if y i =m*x i +k is satisfied by enough number of edge points ( x i ,y i )....
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- Spring '11