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 (Refereed Research Paper - E1)
Keywords: Riesz transform, 2D steerable filter, super-resolution, semi-definite program, local feature analysis
ISBN: 978-3-319-02895-8
ISSN: 1611-3349
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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