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Solid Shape gives engineers and applied scientists access to the extensive mathematical literature on three dimensional shapes. Drawing on the author's deep and personal understanding of three-dimensional space, it adopts an intuitive visual approach designed to develop heuristic tools of real use in applied contexts.Increasing activity in such areas as computer aided design and robotics calls for sophisticated methods to characterize solid objects. A wealth of mathematical research exists that can greatly facilitate this work yet engineers have continued to "reinvent the wheel" as they grapple with problems in three dimensional geometry. Solid Shape bridges the gap that now exists between t...
A comprehensive introduction to colorimetry from a conceptual perspective. Color for the Sciences is the first book on colorimetry to offer an account that emphasizes conceptual and formal issues rather than applications. Jan Koenderink's introductory text treats colorimetry—literally, “color measurement”—as a science, freeing the topic from the usual fixation on conventional praxis and how to get the “right” result. Readers of Color for the Sciences will learn to rethink concepts from the roots in order to reach a broader, conceptual understanding. After a brief account of the history of the discipline (beginning with Isaac Newton) and a chapter titled “Colorimetry for Dummies...
This book presents an analysis of limits in perception from the vantage point of the physicist, the engineer, the psychophysicist, the psychologist and the theorist. Limits in perception find their causal explanation at many logically and/or physically different levels. Some of the most fundamental bottlenecks are due to the quantum mechanical and atomistic structure of the microworld. Other simple constraints are due to the material constitution of sensory organs. For instance, the fact that the eye is predominantly composed of water limits both the optical quality and the available spectral window. The engineer uses knowledge on such limits to design equipment that optimizes human performa...
Many approaches have been proposed to solve the problem of finding the optic flow field of an image sequence. Three major classes of optic flow computation techniques can discriminated (see for a good overview Beauchemin and Barron IBeauchemin19951): gradient based (or differential) methods; phase based (or frequency domain) methods; correlation based (or area) methods; feature point (or sparse data) tracking methods; In this chapter we compute the optic flow as a dense optic flow field with a multi scale differential method. The method, originally proposed by Florack and Nielsen [Florack1998a] is known as the Multiscale Optic Flow Constrain Equation (MOFCE). This is a scale space version of...
Perceptual organization comprises a wide range of processes such as perceptual grouping, figure-ground organization, filling-in, completion and perceptual switching. 'Oxford Handbook of Perceptual Organization' provides a broad and extensive review of the current literature, written in an accessible form for scholars and students.
The book analyses the differences between the mathematical interpretation and the phenomenological intuition of the continuum. The basic idea is that the continuity of the experience of space and time originates in phenomenic movement. The problem of consciousness and of the spaces of representation is related to the primary processes of perception. Conceived as an interplay between cognitive science, linguistics and philosophy, the book presents a conceptual framework based on a dynamic and experimental approach to the problem of the continuum. Besides presenting the primitives of a theory of cognitive space and time, it presents a theory of the observer, analyzing the relationship among perspective, points of view and unity of consciousness. The book's chapters deal with the dynamic elaboration and recognition of forms from the lower to the higher processes in the various perceptual fields. Experimental analysis from visual, auditory and tactile perception outline the basic structures of intentionality and its counterpart in language and gesture. (Series B)
Proposing a new paradigm for perceptual science that goes beyond standard information theory and digital computation. This book breaks with the conventional model of perception that views vision as a mere inference to an objective reality on the basis of "inverse optics." The authors offer the alternative view that perception is an expressive and awareness-generating process. Perception creates semantic information in such a way as to enable the observer to deal efficaciously with the chaotic and meaningless structure present at the physical boundary between the body and its surroundings. Vision is intentional by its very nature; visual qualities are essential and real, providing an aestheti...
Medical imaging is an important and rapidly expanding area in medical science. Many of the methods employed are essentially digital, for example computerized tomography, and the subject has become increasingly influenced by develop ments in both mathematics and computer science. The mathematical problems have been the concern of a relatively small group of scientists, consisting mainly of applied mathematicians and theoretical physicists. Their efforts have led to workable algorithms for most imaging modalities. However, neither the fundamentals, nor the limitations and disadvantages of these algorithms are known to a sufficient degree to the physicists, engineers and physicians trying to im...
Perception is a subject of great current interest and one that is is likely to escalate over coming years. The focus of this book is on conceptual and philosophical issues of perception, including the classic notion of unconscious inferences in perception. The book consists of contributions from a group of international researchers who spent a year together as distinguished fellows at the German Centre for Advanced Study.
Lc number: 2006049946