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Efficient and Consistent Recursive Filtering of Images with Reflective Extension
Appleton, Ben and Talbot, Hugues (2003). Efficient and Consistent Recursive Filtering of Images with Reflective Extension. In: Griffin, Lewis D. and Lillholm, Martin, Proceedings of the Fourth International Conference on Scale Space. The Fourth International Conference on Scale Space, Isle of Skye, UK, (699-712). 10-12 June 2003.
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| Name |
Description |
MIMEType |
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Downloads |
IIR.pdf
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IIR.pdf |
application/pdf |
302.35KB |
433 |
| Author(s) |
Appleton, Ben
Talbot, Hugues
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| Title of paper |
Efficient and Consistent Recursive Filtering of Images with Reflective Extension
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| Conference name |
The Fourth International Conference on Scale Space
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| Conference location |
Isle of Skye, UK
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| Conference dates |
10-12 June 2003
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| Proceedings title |
Proceedings of the Fourth International Conference on Scale Space
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| Editor(s) |
Griffin, Lewis D.
Lillholm, Martin
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| Place published |
Germany
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| Publisher |
Springer
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| Publication date |
2003
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| Volume number |
1
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| Issue number |
1
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| ISBN |
0302-9743
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| Start page |
699
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| End page |
712
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| Total pages |
14
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| Language |
eng
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| Abstract/Summary |
Recursive filters are commonly used in scale space construction for their efficiency and simple implementation. However these filters have an initialisation problem which either produces unusable results near the image boundaries or requires costly approximate solutions such as extending the boundary manually. In this paper, we describe a method for the recursive filtering of reflectively extended images for filters with symmetric denominator. We begin with an analysis of reflective extensions and their effect on non-recursive filtering operators. Based on the non-recursive case, we derive a formulation of recursive filtering on reflective domains as a linear but time-varying implicit operator. We then give an efficient method for decomposing and solving the linear implicit system. This decomposition needs to be performed only once for each dimension of the image. This yields a filtering which is both stable and consistent with the ideal infinite extension. The filter is efficient, requiring the same order of computation as the standard recursive filtering. We give experimental evidence to verify these claims.
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| Subjects |
280203 Image Processing
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| Keyword(s) |
image filtering
recursive
iris-research
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