Gaussian Smoothing

size

kernel display

matrix

continuous 3D

image

baby

letters

Kernel		Result

This Demonstration shows the smoothing of an image using a 2D convolution with a Gaussian kernel.

The kernel is sampled and normalized using the 2D Gaussian function

1

2π

2

σ

-

2

x

+

2

y

2

σ



.

The standard deviation

σ

is chosen to be one fifth of the width of the kernel.