Basis matrix representation of morphological filters with N-dimensional structuring elements

Byung Tae Choi, Kyung Hoon Lee, Sung Jea Ko, Aldo Morales

Research output: Contribution to journalArticlepeer-review


In this paper, we present a basis matrix representation of grayscale morphological filters in N-dimensions. A procedure is proposed to derive the basis matrix and the block basis matrix (BBM) from an N-dimensional grayscale structuring element (GSE). It is shown that both opening and closing with arbitrary N-dimensional GSE can be accomplished by a local matrix operation using the basis matrix. Furthermore, these basis matrix representations are extended to the efficient implementation of open-closing (OC) and close-opening (CO) using the BBM.

Original languageEnglish (US)
Pages (from-to)345-352
Number of pages8
JournalJournal of Circuits, Systems and Computers
Issue number4
StatePublished - Aug 1997

All Science Journal Classification (ASJC) codes

  • Hardware and Architecture
  • Electrical and Electronic Engineering

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