Title
Efficient, recursively implemented differential operator, with application to edge detection
Abstract
The estimation of derivatives is an important and sensitive task in digital image processing and analysis, both accuracy and computational efficiency being expected of a differential operator. Here we propose a new filter-designed through a strategy based on the Green's function of a signal matching equation-that responds to such demands. When used for edge detection, it yields theoretical performance indices that rival, and even top, the best reported marks. It is also computationally efficient, allowing very simple recursive implementation. The results of extensive edge-detection experimentation are reported here. Being explicitly designed as a first-derivative operator, our filter should also find application in other signal processing domains.
Year
DOI
Venue
2006
10.1016/j.patrec.2005.11.011
Pattern Recognition Letters
Keywords
Field
DocType
simple recursive implementation,edge detection,green’s function,computational efficiency,image processing,signal processing domain,extensive edge-detection experimentation,differential operator,digital image processing,first-derivative operator,reported mark,sensitive task,matching equation,functional imaging,signal processing,filter design,performance indicator,green s function,differential operators
Signal processing,Edge detection,Image processing,Scale space,Sobel operator,Operator (computer programming),Artificial intelligence,Mathematical optimization,Pattern recognition,Algorithm,Differential operator,Digital image processing,Mathematics
Journal
Volume
Issue
ISSN
27
9
Pattern Recognition Letters
Citations 
PageRank 
References 
3
0.40
17
Authors
2
Name
Order
Citations
PageRank
José R. A. Torreão15910.18
Marcos S. Amaral280.89