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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 volume is a collection of articles which explore the relations between modern and classical visual art on the one hand and what is currently known or believed about visual perception, visual exploration, the eye, and the visual brain. The book includes speculative as well as firmly-grounded theories and approaches. Articles have been chosen for their scholarly value, their scientific approach as far as possible, and their intrinsic interest.
Visual cognition is an important area of biocybernetics. It ranges from the filtering processes of early vision to the structural and functional organization of the visual centres, as well as, in higher animals, to the neuronal plasticity, the decision-making rules, the effect of noise, the role of attention, the ambiguity of patterns, and the time dimension. All these factors contribute to the cognitive interpretation of visual sensation that takes place in visual perception. A side field is machine vision, in which the signal processing known from animal vision is applied to the mobile robots responding to light stimulation.
Numerous spatial biases influence navigation, interactions, and preferences in our environment. This volume considers their influences on perception and memory.
Looking beyond the boundaries of various disciplines, the author demonstrates that symmetry is a fascinating phenomenon which provides endless stimulation and challenges. He explains that it is possible to readapt art to the sciences, and vice versa, by means of an evolutionary concept of symmetry. Many pictorial examples are included to enable the reader to fully understand the issues discussed. Based on the artistic evidence that the author has collected, he proposes that the new ars evolutoria can function as an example for the sciences.The book is divided into three distinct parts, each one focusing on a special issue. In Part I, the phenomenon of symmetry, including its discovery and meaning is reviewed. The author looks closely at how Vitruvius, Polyclitus, Democritus, Plato, Aristotle, Plotinus, Augustine, Alberti, Leonardo da Vinci and Durer viewed symmetry. This is followed by an explanation on how the concept of symmetry developed. The author further discusses symmetry as it appears in art and science, as well as in the modern age. Later, he expounds the view of symmetry as an evolutionary concept which can lead to a new unity of science. In Part II, he covers the points of contact between the form-developing process in nature and art. He deals with biological questions, in particular evolution.The collection of new and precise data on perception and knowledge with regard to the postulated reality of symmetry leads to further development of the evolutionary theory of symmetry in Part III. The author traces the enormous treasure of observations made in nature and culture back to a few underlying structural principles. He demonstrates symmetry as a far-reaching, leading, structuring, causal element of evolution, as the idea lying behind nature and culture. Numerous controllable reproducible double-mirror experiments on a new stereoscopic vision verify a symmetrization theory of perception.