The choice and detailed desian of structuring elements plays a pivotal role in the morphologic processing of images. A broad class of morphological operations can be expressed as an equivalent supremum of erosions by a minimal set of basis filters. Diverse morphological operations can then be expressed in a single, comparable framework. The set of basis filters are data-like structures, each filter representing one type of local change possible under that operation. The data-level description of the basis set is a natural starting point for the design of morphological filters. This paper promotes the use of the basis decomposition of gray-scale marphological operations to design and apply morphological filters. A constructive proof is given for the basis decomposition of general gray-scale morphological operations, as are practical algorithms to find all of the basis set members for these operations. Examples are given to illustrate the algorithms presented.
|Number of pages||8|
|Journal||IEEE Transactions on Pattern Analysis and Machine Intelligence|
|Publication status||Published - 1 Jan 1994|
- Gray-scale morphology
- mathematical morphology
- morphologic basis decomposition