Paper Info
Title
Device Space Design for Efficient Scale-Space Edge Detection
Abstract
We present a new approach to the computation of scalable image derivative operators, based on the finite element method, that addresses the issues of method, efficiency and scale-adaptability. The design procedure is applied to the problem of approximating scalable differential operators within the framework of Schwartz distributions. Within this framework, the finite element approach allows us to define a device space in which scalable image derivative operators are implemented using a combination of piecewise-polynomial and Gaussian basis functions.Here we illustrate the approach in relation to the problem of scale-space edge detection, in which significant scale-space edge points are identified by maxima of existing edge-strength measures that are based on combinations of scale-normalised derivatives. We partition the image in order to locally identify approximate ranges of scales within which significant edge points may exist, thereby avoiding unnecessary computation of edge-strength measures across the entire range of scales.
Year
DOI
Venue
2002
10.1007/3-540-46043-8_109
International Conference on Computational Science (1)
Keywords
Field
DocType
significant scale-space edge point,scale-space edge detection,scalable image,finite element approach,finite element method,edge-strength measure,device space design,scalable differential operator,new approach,derivative operator,efficient scale-space edge detection,significant edge point,finite element,scale space,differential operators,edge detection
Topology,Computer science,Edge detection,Image processing,Scale space,Finite element method,Gaussian,Operator (computer programming),Scalability,Computation
Conference
Volume
ISSN
ISBN
2329
0302-9743
3-540-43591-3
Citations 
PageRank 
References 
15
0.92
6
Authors
3
Name
Order
Citations
PageRank
Bryan W. Scotney167082.50
Sonya Coleman221636.84
M. G. Herron3445.21