First time here? Check out the FAQ!

Ask Your Question
2

Equivalence between structural elements

asked Jan 18 '13

isaacenrique gravatar image

Greetings.

I have the following questions:

Suppose you want to apply a morphological transformation (eg erosion) on an image with a structuring element solid 3 * 3 (ie, full of 1s) and a number of iterations 'n'.

What would be the dimension (rows * columns) of the structuring element that would produce the same result, but only with an iteration?, Ie, if we want to apply the same morphological transformation on the image and get the same result, but using only one iteration ... What should be the dimensions 'rows * columns' of the structuring element?

More concisely, find the value de 'M' for which a structuring element de 'M * M' applied only once (one iteration) produces the same result as applying a SE 3 * 3 a number of iterations equal to 'n' (Being 'n' a known value).

Is there a general formula for finding this equivalence?

Thanks in advance for any replies / help.

Preview: (hide)

1 answer

Sort by » oldest newest most voted
2

answered Jan 20 '13

Michael Burdinov gravatar image

Size of your SE should be: 2n+1 x 2n+1.

Preview: (hide)

Comments

You are welcome. And your calculations about number of row and columns are correct.

Michael Burdinov gravatar imageMichael Burdinov (Jan 22 '13)edit

Question Tools

1 follower

Stats

Asked: Jan 18 '13

Seen: 384 times

Last updated: Jan 20 '13