New PDF release: Advances in Imaging and Electron Physics, Volume 178

By Peter W. Hawkes

ISBN-10: 0124077013

ISBN-13: 9780124077010

Advances in Imaging and Electron Physics features state of the art articles at the physics of electron units (especially semiconductor devices), particle optics at low and high energies, microlithography, photo technological know-how and electronic picture processing, electromagnetic wave propagation, electron microscopy, and the computing tools utilized in most of these domain names.

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* Contributions from prime gurus * Informs and updates on the entire most up-to-date advancements within the box

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Additional resources for Advances in Imaging and Electron Physics, Volume 178

Example text

Alternatively, the operator T s;s can be said to be homogeneous across space-time. Convolution structure Together, the assumptions of linearity and shift-invariance imply that the internal representations Lð$; $; s; sÞ are given by convolution transformations Lðx; t; s; sÞ ¼ ðT ð$; $; s; sÞ Ã f Þðx; tÞ Z Z ¼ T ðx; h; s; sÞ f ðx À x; t À hÞdx dh; (72) x˛RN h˛R where T ð$; $; s; sÞ denotes some family of convolution kernels. These convolution kernels and their spatio-temporal derivatives can also be referred to as spatio-temporal receptive fields.

19 Spatiochromatic receptive fields corresponding to the application of Gaussian derivative operators up to order two to red/green and yellow/blue coloropponent channels, respectively. Ó 2013 Tony Lindeberg. ) Generalized Axiomatic Scale-Space Theory 39 where yellow is approximated by the average of the R and G channels and f can be defined as a channel of pure intensity information. 19 shows equivalent spatiochromatic receptive fields corresponding to the application of Gaussian derivative operators according to Eq.

2010), Linde & Lindeberg (2012), Zhang et al. (2012), it is shown how such color-opponent spatiochromatic receptive fields, in combination with regular spatial receptive fields, can constitute a very effective basis for object recognition. 5. Uniqueness of the Gaussian Kernel on a Spatial Domain The Gaussian scale-space concept satisfies the requirements of (1) linearity, (2) shift invariance, (3) semigroup property, (4) existence of an infinitesimal generator, (5) non-creation of local extrema, (6) non-enhancement of local extrema, (7) rotational symmetry, (8) positivity, (9) normalization, and (10) scale invariance.

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Advances in Imaging and Electron Physics, Volume 178 by Peter W. Hawkes

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