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

By Peter W. Hawkes

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, picture technological know-how and electronic photograph processing, electromagnetic wave propagation, electron microscopy, and the computing equipment utilized in some of these domain names.

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

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

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21 First- and second-order spatiochromatic partial derivatives computed from a color image at scale s ¼ 16. Ó 2013 Tony Lindeberg. ) 41 Generalized Axiomatic Scale-Space Theory In Hall et al. (2000), Linde & Lindeberg (2004), Burghouts & Geusebroek (2009), van de Sande et al. (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.

1. Non-causal Gaussian Spatiotemporal Scale-Space If, for the purpose of analyzing prerecorded video data, we allow for unlimited freedom of accessing image data at all temporal moments simultaneously, we can apply a similar way of reasoning as in section 5, with space x replaced by space-time p ¼ ðx; tÞ, thus disregarding both temporal causality and temporal recursivity. 2 and Appendix A) for more detail. 54 Tony Lindeberg (5) non-enhancement of local extrema to hold for any smooth image function f ˛C N ðRN Â RÞXL 1 ðR2 Â RÞ and for any positive scale direction s.

A similar type of transformation as from the original data f. An image representation having these properties is referred to as a spatio-temporal multiscale representation. 2. Additional Scale-Space Axioms for Time-Dependent Image Data For spatio-temporal image data, the following covariance requirements are natural to impose motivated by the special nature of time and space-time. 47 Generalized Axiomatic Scale-Space Theory Temporal covariance If the same scene is observed by two different cameras that sample the spatiotemporal image data with different temporal sampling rates, or if a camera observes similar types of motion patterns that occur at different speeds, it seems natural that the visual system should be able to relate the spatiotemporal scale-space representations that are computed from the timedependent image data.

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