Name

rsconvolution - convolve a real image with a kernel

Usage

output = rsconvolution(input, kernel)

Input

input

input image

kernel

convolution kernel image, it has to have the same dimensionality as the input image and its dimensions has to be odd.

Output

output

image containing input image convolved with kernel

Method

rsconvolution computes circulant convolution with a kernel provided by the user.

• `cnv(n)=sum_(k=0)^(nx-1)f((-k+n+nx)(mod\nx))kernel(k)`

• `n = -(nx)/2, ..., (nx)/2`

• Note: for image size nx and object size m, the circulant convolution is valid only within `+//- (nx-m/2)` pixels from the origin. More distant cnv values are corrupted by the "wrap around" artifacts.

Reference

Author / Maintainer

Pawel A. Penczek

Keywords

category 1

FILTER

category 2

SPATIAL

Files

rsconvolution.cpp

See also

.

Maturity

stable

works for most people, has been tested; test cases/examples available.

Bugs

None. It is perfect.