Symmetry is a fundamental principle of broad concern from the physical sciences to art and design. Much of its significance derives from the perceptual appeal of symmetry to the human brain, as testified by its universal inclusion in those icons of decor--oriental rugs. Although there have been many books on physical symmetry, none have addressed the issue of human symmetry perception. This comprehensive collection provides a wide range of approaches to the study of how we see symmetries, from evolutionary through empirical to extended theoretical treatments. The book is an invaluable resource for those concerned with the methods and analytic approaches to this challenging topic. It soon becomes evident that symmetry perception is not a simple example of neural pattern processing, since the essence of symmetry is to transcend the patterns of which it is composed. Consequently, this volume contains many novel methods relevant to the analysis of the long-range processing of mid-level vision rather than early neural filtering. It provides both a historical background and an intellectual stimulant to future developments in this lapidary field of study.

This comprehensive and authoritative text/reference presents a unique, multidisciplinary perspective on Shape Perception in Human and Computer Vision. Rather than focusing purely on the state of the art, the book provides viewpoints from world-class researchers reflecting broadly on the issues that have shaped the field. Drawing upon many years of experience, each contributor discusses the trends followed and the progress made, in addition to identifying the major challenges that still lie ahead. Topics and features: examines each topic from a range of viewpoints, rather than promoting a specific paradigm; discusses topics on contours, shape hierarchies, shape grammars, shape priors, and 3D shape inference; reviews issues relating to surfaces, invariants, parts, multiple views, learning, simplicity, shape constancy and shape illusions; addresses concepts from the historically separate disciplines of computer vision and human vision using the same “language” and methods.

Half a billion years of evolution have turned the eye into an unbelievable pattern detector. Everything we perceive comes in delightful multicolored forms. Now, in the age of science, we want to comprehend what and why we see. Two dozen outstanding biologists, chemists, physicists, psychologists, computer scientists and mathematicians met at the Institut d'Hautes Etudes Scientifiques in Bures-sur-Yvette, France. They expounded their views on the physical, biological and physiological mechanisms creating the tapestry of patterns we see in molecules, plants, insects, seashells, and even the human brain. This volume comprises surveys of different aspects of pattern formation and recognition, and is aimed at the scientifically minded reader.

An accessible yet rigorous and generously illustrated exploration of the computational approach to the study of biological vision. Seeing has puzzled scientists and philosophers for centuries and it continues to do so. This new edition of a classic text offers an accessible but rigorous introduction to the computational approach to understanding biological visual systems. The authors of Seeing, taking as their premise David Marr's statement that “to understand vision by studying only neurons is like trying to understand bird flight by studying only feathers,” make use of Marr's three different levels of analysis in the study of vision: the computational level, the algorithmic level, and the hardware implementation level. Each chapter applies this approach to a different topic in vision by examining the problems the visual system encounters in interpreting retinal images and the constraints available to solve these problems; the algorithms that can realize the solution; and the implementation of these algorithms in neurons. Seeing has been thoroughly updated for this edition and expanded to more than three times its original length. It is designed to lead the reader through the problems of vision, from the common (but mistaken) idea that seeing consists just of making pictures in the brain to the minutiae of how neurons collectively encode the visual features that underpin seeing. Although it assumes no prior knowledge of the field, some chapters present advanced material. This makes it the only textbook suitable for both undergraduate and graduate students that takes a consistently computational perspective, offering a firm conceptual basis for tackling the vast literature on vision. It covers a wide range of topics, including aftereffects, the retina, receptive fields, object recognition, brain maps, Bayesian perception, motion, color, and stereopsis. MatLab code is available on the book's website, which includes a simple demonstration of image convolution.

The best example of filling-in involves the blind spot, a region of the retina devoid of photoreceptors. Remarkably, the region of visual space corresponding to the blind spot is not perceived as a dark region in space, but instead as having the same color and texture as the surrounding background; hence the expression "filling in." While this type of perceptual completion phenomenon is common in the visual domain, it is argued by the leading scientists who contribute to this book that forms of filling-in also take place in other sensory modalities, including the auditory, somatosensory, and motor systems. In a concluding chapter an integrative approach is taken, which attempts to provide a common framework for completion phenomena occurring on a fast time scale, and cortical reorganization in sensory and motor cortex induced by peripheral damage or skill learning taking place on a slower time scale. It is proposed that systematic changes in the interplay between inhibitory and excitatory inputs permit cortical neurons to become driven by new sources of input, which, in addition to initial perceptual consequences can lead to a long-term structural reorganization of cortex. This book represents a truly interdisciplinary approach to neuroscience, with chapters covering computational modeling, visual psychophysics, functional brain imaging, single-cell physiology, and clinical patient cases. It will be of interest to researchers and graduate students in systems neuroscience, cognitive neuroscience, vision science, neuroimaging, perceptual psychology, computational neuroscience, and philosophy of mind.

What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

Biological Psychology is the study of psychological processes in terms of biological functions. A major obstacle to understanding dialogue in the field has always been its terminology which is drawn from a variety of non-psychological sources such as clinical medicine, psychiatry and neuroscience, as well as specialist areas of psychology such as ethology, learning theory and psychophysics. For the first time, a distinguished international team of contributors has now drawn these terms together and defined them both in terms of their physical properties and their behavioural significance. The Dictionary of Biological Psychology will prove an invaluable source of reference for undergraduates in psychology wrestling with the fundamentals of brain physiology, anatomy and chemistry, as well as researchers and practitioners in the neurosciences, psychiatry and the professions allied to medicine. It is an essential resource both for teaching and for independent study, reliable for fact-checking and a solid starting point for wider exploration.

This two-volume set LNCS 11592 and 11593 constitutes the refereed proceedings of the 5th International Conference on Human Aspects of IT for the Aged Population, ITAP 2019, held in July 2019 as part of HCI International 2019 in Orlando, FL, USA. HCII 2019 received a total of 5029 submissions, of which 1275 papers and 209 posters were accepted for publication after a careful reviewing process. The 86 papers presented in these two volumes are organized in topical sections named: Design with and for the Elderly, Aging and Technology Acceptance, Aging and the User Experience, Elderly-Specific Web Design, Aging and Social Media, Games and Exergames for the Elderly, Ambient Assisted Living, Aging, Motion, Cognition, Emotion and Learning.

This volume starts from an interdisciplinary expertise of the contributors, and chooses to work on the very origins of conscious qualitative states in perception. The leading research paradigm can be synthesized in ‘phenomenology to neurons to stimuli, and backwards’, since as a starting point it has taken the phenomenal appearances in the visual field. Specifically, the leading theme of the volume is the co-presence and interaction of diverse types of spaces in vision, like the optical space of psychophysics and of neural elaboration, the qualitative space of phenomenal appearances, and its relation with the pictorial space of art. The contributors to the volume agree in arguing that those spaces follow different rules of organization, whose specific singularity and reciprocal dependence have to be individuated, as a preliminary step to understand the architecture of the conscious awareness of our environment and to conceive its potential implementation in constructing any kind of embodied intentional agents. (Series B)

Zygmunt Pizlo is Professor of Psychological Sciences and Electrical and Computer Engineering (by courtesy) at Purdue University.