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Exploring the Trace Transform Joshua Stough COMP 255, December 1, 2003.

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Presentation on theme: "Exploring the Trace Transform Joshua Stough COMP 255, December 1, 2003."— Presentation transcript:

1 Exploring the Trace Transform Joshua Stough COMP 255, December 1, 2003

2 The Idea (review) Some functional of a reparameterized image. The Key is: x*cos  + y*sin  = 

3 Dots transform to sine curves of phase and amplitude defined by tan -1 (y/x) and |(x,y)|, respectively

4 The Trace Transform for shape is the composition of dots

5 Basic Shapes and Their Transforms

6 Dominant Image Features are expressed in the Trace

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10 Still to do Inverse: Draw the lines corresponding to a small subset of the Trace Image. Back projection. Other interesting functionals, including sensitive ones.


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