Modelling line and edge features using higher-order Riesz transforms
Marchant, Ross, and Jackway, Paul (2013) Modelling line and edge features using higher-order Riesz transforms. In: Lecture Notes in Computer Science (8192) pp. 438-449. From: ACIVS 2013: 15th International Conference on Advanced Concepts for Intelligent Vision Systems, 28-31 October 2013, Poznań, Poland.
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Abstract
The 2D-complex Riesz transform is an extension of the Hilbert transform to images. It can be used to model local image structure as a superposition of sinusoids, and to construct 2D steerable wavelets. In this paper we propose to model local image structure as the superposition of a 2D steerable wavelet at multiple amplitudes and orientations. These parameters are estimated by applying recent developments in super-resolution theory. Using 2D steerable wavelets corresponding to line or edge segments then allows for the underlying structure of image features such as junctions and edges to be determined.
| Item ID: | 32899 |
|---|---|
| Item Type: | Conference Item (Research - E1) |
| ISBN: | 978-3-319-02895-8 |
| ISSN: | 1611-3349 |
| Keywords: | Riesz transform, 2D steerable filter, super-resolution, semi-definite program, local feature analysis |
| Date Deposited: | 30 Apr 2014 09:55 |
| FoR Codes: | 08 INFORMATION AND COMPUTING SCIENCES > 0801 Artificial Intelligence and Image Processing > 080106 Image Processing @ 100% |
| SEO Codes: | 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 50% 97 EXPANDING KNOWLEDGE > 970109 Expanding Knowledge in Engineering @ 50% |
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