There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

Computer and Robot Vision Vol. 1, by R.M. Haralick and Linda G. Shapiro, Addison-Wesley, 1992, ISBN 0-201-10887-1.

Computer and Robot Vision

World Development Report 2012: Gender equality and development Washington, DC: The World Bank 2011, 426 pp., ISBN: 978-0821388259 Since the 1970s, Gender in development has emerged as an issue of c...

World Development Report 2012: Gender equality and development

About 70% of more than half a million Implicit Association Tests completed by citizens of 34 countries revealed expected implicit stereotypes associating science with males more than with females. We discovered that nation-level implicit stereotypes predicted nation-level sex differences in 8th-grade science and mathematics achievement. Self-reported stereotypes did not provide additional predictive validity of the achievement gap. We suggest that implicit stereotypes and sex differences in science participation and performance are mutually reinforcing, contributing to the persistent gender gap in science engagement.

/pdf/national-differences-in-gender-science-stereotypes-predict-5bj6wx4z9e.pdf

National differences in gender–science stereotypes predict national sex differences in science and math achievement

Women obtain more than half of U.S. undergraduate degrees in biology, chemistry, and mathematics, yet they earn less than 20% of computer science, engineering, and physics undergraduate degrees (National Science Foundation, 2014a). Gender differences in interest in computer science, engineering, and physics appear even before college. Why are women represented in some science, technology, engineering, and mathematics (STEM) fields more than others? We conduct a critical review of the most commonly cited factors explaining gender disparities in STEM participation and investigate whether these factors explain differential gender participation across STEM fields. Math performance and discrimination influence who enters STEM, but there is little evidence to date that these factors explain why women's underrepresentation is relatively worse in some STEM fields. We introduce a model with three overarching factors to explain the larger gender gaps in participation in computer science, engineering, and physics than in biology, chemistry, and mathematics: (a) masculine cultures that signal a lower sense of belonging to women than men, (b) a lack of sufficient early experience with computer science, engineering, and physics, and (c) gender gaps in self-efficacy. Efforts to increase women's participation in computer science, engineering, and physics may benefit from changing masculine cultures and providing students with early experiences that signal equally to both girls and boys that they belong and can succeed in these fields. (PsycINFO Database Record

https://psycnet.apa.org/journals/bul/143/1/1.pdf

Why are some STEM fields more gender balanced than others

The filter bank approach for computing the discrete wavelet transform (DWT), which we call the convolution method, can employ either a nonpolyphase or polyphase structure. This work compares filter banks with an alternative polyphase structure for calculating the DWT-the lifting method. We look at the traditional lifting structure and a recently proposed "flipping" structure for implementing lifting. All filter bank structures are implemented on an Altera field-programmable gate array. The quantization of the coefficients (for implementation in fixed-point hardware) plays a crucial role in the performance of all structures, affecting both image compression quality and hardware metrics. We design several quantization methods and compare the best design for each approach: the nonpolyphase filter bank, the polyphase filter bank, the lifting and flipping structures. The results indicate that for the same image compression performance, the flipping structure gives the smallest and fastest, low-power hardware.

A comparison of hardware implementations of the biorthogonal 9/7 DWT: convolution versus lifting

The lifting structure has been shown to be computationally efficient for implementing filter banks. The hardware implementation of a filter bank requires that the lifting coefficients be quantized. The quantization method determines compression performance, hardware size, hardware speed and energy. We investigate the implementation of two lifting coefficient sets, rational and irrational, for the biorthogonal 9/7 wavelet. Six different approaches are used to find optimal quantized lifting coefficients from these sets. We find that the best hardware and PSNR performance is obtained using the rational coefficient set quantized with gain compensation and lumped scaling.

Optimal quantized lifting coefficients for the 9/7 wavelet [image compression applications]

Wavelet modulation sends multiple copies of data at multiple rates through an unknown channel. We present new methods that result in dramatic bit error rate performance improvements when multiple rates are available and utilized for demodulation. Our results indicate significantly better performance than binary phase-shift keying in fading channels. We also introduce and illustrate new algorithms that identify the channel type and mitigate the effects of intersymbol interference in frequency selective fading channels.

Wavelet modulation in Rayleigh fading channels: Improved performance and channel identification

This paper is concerned with the use of a novel motorized lens to perform segmentation of image sequences. The lens has the effect of introducing small, repeating movements of the camera center, so that objects appear to translate in the image by an amount that depends on distance from the plane of focus. For a stationary scene, optical flow magnitudes and direction are therefore directly related to three-dimensional object distance from the observer. We describe a segmentation-procedure that exploits these controlled observer movements, and we present experimental results that demonstrate the successful extraction of objects at different depths. Potential applications of this approach include video compression, compositing, and passive range sensing.

Segmentation and range sensing using a moving-aperture lens

Design techniques for high-performance, fixed-point, multiplierless filter banks are presented. Image compression using the biorthogonal 9/7 discrete wavelet transform provides a motivating example. Image compression and hardware performance of two commonly used filter structures, direct and cascade, and two known filter bank structures, nonpolyphase and polyphase, are compared. A technique is shown for designing a fixed-point polyphase filter structure, which is highly efficient from a hardware standpoint, such that image-compression quality is not significantly deteriorated by the use of fixed-point mathematics. The result is a polyphase structure with about twice the throughput rate of nonpolyphase structures, and peak signal-to-noise ratio values for lossy compression within 0.2 decibels of those achieved using floating-point filters.

Multiplierless filter Bank design: structures that improve both hardware and image compression performance

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