On a Mathematical Structure for an Image Algebra.
Abstract
The processing of images based on well-defined mathematical techniques has remained a subject of great interest for many years. In particular, mathematical theories associated with the processing, enhancement, analysis, and recognition of sensed imagery have received significant amount of attention and effort as witnessed by the number of publications, organizations, and conferences devoted to this subject. The interest in this field of research is due to several factors, including (a) the wide-ranging fields of application (e.g., from biomedical and industrial uses to military applications), (b) the widespread availability of processing hardware (with increasing speeds and reliability, accompanied by decreasing costs), (c) the challenge of developing software that accomplishes tasks heretofore only accomplished by humans, and (d) the tantalizing applicability of rigorous, analytical methodologies which form the existing mathematical basis of present embryotic image processing theory (e.g., the formulation and development of image transforms, operators, and their mathematical properties). Consequently, the broad field of image processing theory and its application has rapidly evolved into one of today's most active and exciting areas of research. Originator-supplied keywords include: Image processing algorithm, Algorithm development, Pattern recognition, Mathematical structure, Mathematical morphology, Image algebra, Image processing transform, Neighborhood transform, Structural element, Morphological transform, Morphological neighborhood transform.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 25, 1984
- Accession Number
- ADA150228
Entities
People
- H. N. Urquhart
- L. A. Ankeney