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Radial Basis Functions and Application in Edge Detection

Radial Basis Functions and Application in Edge Detection. Chris Cacciatore Tian Jiang Kerenne Paul. Abstract. This project focuses on the use of Radial Basis Functions in Edge Detection in both one-dimensional and two-dimensional images.

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Radial Basis Functions and Application in Edge Detection

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  1. Radial Basis Functions and Application in Edge Detection Chris Cacciatore Tian Jiang Kerenne Paul

  2. Abstract • This project focuses on the use of Radial Basis Functions in Edge Detection in both one-dimensional and two-dimensional images. • Use a 2-D iterative RBF edge detection method. • Vary the point distribution and shape parameter. • Quantify the effects of the accuracy of the edge detection on 2-D images. • Study a variety of Radial Basis Functions and their accuracy in Edge Detection.

  3. Contents • RBF Matrix Calculation • Approximation

  4. Radial Basis Functions Multi-Quadric RBF: Sum of all MQ-RBF calculations:

  5. RBF Matrix CalculationMλ = f

  6. Lambda coefficients λ f

  7. Interpolationλ = f

  8. Smooth function without jump f = cos x, -π<x<π

  9. Gibb’s phenomenon f = x/|x|

  10. RBF Approximation with different number of coefficients f = x/|x|

  11. MQ RBF in 2D Edge Detection Edge map from x-direction Edge map from y-direction

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