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'''Motivation'''
 
'''Motivation'''
 
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Consider the problem of curve registration, that is, finding the rotation and translation that best maps (i.e., registers) a cloud of points onto a template object, as described below.
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Consider the problem of curve registration, that is, finding the rotation and translation that best maps (i.e., registers) a cloud of points onto a template object, as described on the right.
  
 
We begin by approximating the curve defined by the contour of the template object by an implicit polynomial equation. This yields a bivariate
 
We begin by approximating the curve defined by the contour of the template object by an implicit polynomial equation. This yields a bivariate
 
polynomial equation p(x,y) = 0 whose solution set approximates the template
 
polynomial equation p(x,y) = 0 whose solution set approximates the template
 
contour.
 
contour.
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<div style='width: 30%; float: right;'>
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[[Image:butterfly model.jpg|250px]]
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</div>
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<div style='width: 100%; float: left;'>

Revision as of 17:50, 21 April 2010

A Solution Method For Zero-Dimensional Polynomial Equation System

Motivation

Consider the problem of curve registration, that is, finding the rotation and translation that best maps (i.e., registers) a cloud of points onto a template object, as described on the right.

We begin by approximating the curve defined by the contour of the template object by an implicit polynomial equation. This yields a bivariate polynomial equation p(x,y) = 0 whose solution set approximates the template contour.

Butterfly model.jpg

Alumni Liaison

Questions/answers with a recent ECE grad

Ryne Rayburn