Closed-form representation of convolution, dilation, and erosion in the context of image algebra. Conference Paper uri icon

abstract

  • Using fundamental operators from image algebra, the authors present simple closed-form expressions for dilation, erosion, and convolution. Algebraically, these expressions appear as terms within the algebra. Moreover, the methodology for obtaining the expressions reveals a universal operational structure within image algebra, of which the three aforementioned operations are particular instances. The result is a natural parallel mechanism for computation and a representation of convolution that naturally overcomes the difficulties arising from the variability of image domains in the defining relation.

author list (cited authors)

  • Dougherty, E. R., & Giardina, C. R.

complete list of authors

  • Dougherty, ER||Giardina, CR

publication date

  • December 1988