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Conference Paper (international conference)

Image Invariants to Anisotropic Gaussian Blur

Kostková Jitka, Flusser Jan, Lébl Matěj, Pedone M.

: Image Analysis : 21st Scandinavian Conference, SCIA 2019, p. 140-151

: Scandinavian Conference on Image Analysis - SCIA'19, (Norkoping, SE, 20190611)

: GA18-07247S, GA ČR

: Gaussian blur, Semi-group, Projection operator, Image moments, Moment invariants

: 10.1007/978-3-030-20205-7_12

: http://library.utia.cas.cz/separaty/2019/ZOI/kostkova-0506779.pdf

(eng): The paper presents a new theory of invariants to Gaussian blur. Unlike earlier methods, the blur kernel may be arbitrary oriented, scaled and elongated. Such blurring is a semi-group action in the image space, where the orbits are classes of blur-equivalent images. We propose a non-linear projection operator which extracts blur-insensitive component of the image. The invariants are then formally defined as moments of this component but can be computed directly from the blurred image without an explicit construction of the projections. Image description by the new invariants does not require any prior knowledge of the particular blur kernel shape and does not include any deconvolution. Potential applications are in blur-invariant image recognition and in robust template matching.

: JD

: 10201

2019-01-07 08:39