Difference between revisions of "Image Convolution"
Slombardi1 (talk | contribs) |
Slombardi1 (talk | contribs) |
||
Line 4: | Line 4: | ||
|ImageIntro=Image Convolution is the process of applying a filter to images | |ImageIntro=Image Convolution is the process of applying a filter to images | ||
|ImageDescElem=Images can be convolved by applying a function to each pixel of the image. Usually, this function is precalculated inside a small two dimensional array called a kernel. | |ImageDescElem=Images can be convolved by applying a function to each pixel of the image. Usually, this function is precalculated inside a small two dimensional array called a kernel. | ||
− | |ImageDesc=<math> | + | |ImageDesc=Most generally, the convolution of two functions f and g is defined as the following: <math>(f * g)(x,y) = \sum_{v=-\infty}^{\infty} \sum_{u=-\infty}^{\infty} f(x,y) g(x - u,y - v)</math> |
+ | In this case <math>f(x,y)</math> is a function that represents the image. In most cases, images are only defined over a set of points, <math>[0,width] \times [0,height]</math> | ||
|Field=Other | |Field=Other | ||
|InProgress=Yes | |InProgress=Yes | ||
}} | }} |
Revision as of 11:59, 14 August 2009
Image Convolution |
---|
Image Convolution
- Image Convolution is the process of applying a filter to images
Basic Description
Images can be convolved by applying a function to each pixel of the image. Usually, this function is precalculated inside a small two dimensional array called a kernel.
A More Mathematical Explanation
Most generally, the convolution of two functions f and g is defined as the following: '"`UNIQ--math- [...]
Most generally, the convolution of two functions f and g is defined as the following: In this case is a function that represents the image. In most cases, images are only defined over a set of points,
Teaching Materials
- There are currently no teaching materials for this page. Add teaching materials.
Leave a message on the discussion page by clicking the 'discussion' tab at the top of this image page.
[[Category:]]