Radial Basis Functions and Application in Edge Detection

Chris Cacciatore Tian Jiang Kerenne Paul

AbstractThis 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.

Radial Basis FunctionsMulti-Quadric RBF:

Inverse Multi-Quadric RBF:

Gaussian RBF: ()

Project with Maple LeafInitial image The most accurate

image

epsilon = 0.1

Epsilon Variable

epsilon = 0

epsilon = 2

epsilon = 0.05epsilon = 0.01

epsilon = 0.1 epsilon = 1

Total Image

Edge Detection with another image Initial image

Epsilon Variable

epsilon = 0 epsilon = 0.05 epsilon = 0.1

epsilon = 0.2 epsilon = 0.3 epsilon = 1

Epsilon VariableEpsilon=0.2 Epsilon=0.3 more

accurate

What to do:Get familiar with MATLAB and use it to help

analyze the codeFind other factors in the code rather than

epsilon to make the image look differentResearch further into how the code used

works with Radial Basis Function (Multi-Quadric RBF)

Investigate the other two RBFs and their practicality in edge detection