From Pigments to Perception: Advances in Understanding the Visual Processes: 203

Biophysics and Psychophysics of Photoreceptors.- Visual Pigments and Colour Vision in Primates.- The Cost of Trichromaticity for Spatial Vision.- Variability in Cone Populations and Implications.- Discussion: Biophysics and Psychophysics of Photoreceptor.- Transition from Photopic to Scotopic Light Assessments and Possible Underlying Processes.- Dual Rod Pathways.- Wavelength-Discrimination with Only Rods and Blue Cones.- Density of Bipolar Cells in the Macaque Monkey Retina.- Discussion: Rod Vision.- Parvocellular and Magnocellular Pathways and Psychophysics.- Which Cells Code for Color?.- Receptive Field Structure of P and M Cells in the Monkey Retina.- On the Relation between Cellular Sensitivity and Psychophysical Detection.- P and M Pathway Specialization in the Macaque.- The Color-Opponent and Broad-band Channels of the Primate Visual System.- Discussion: P- and M-Pathways I.- Temporal Characteristics of Colour Vision: VEP and Psychophysical Measurements.- The Contribution of Colour to Motion.- Functional Classification of Parallel Pathways.- The Responses of Macaque Retinal Ganglion Cells to Complex Temporal Waveforms.- Remote Surrounds and the Sensitivity of Primate P-Cells.- On Neurophysiological Correlates of Simultaneous Colour and Brightness Contrast as Demonstrated in P-LGN-Cells of the Macaque.- Development of Infant Contrast Sensitivity and Acuity for Coloured Patterns.- Psychophysical Evidence of two Gradients of Neural Sampling in Peripheral Vision.- Discussion: P- and M-Pathways II.- Visual Evoked Potentials.- On the Nature of Visual Evoked Potentials, Unit Responses and Psychophysics.- Localization of the Electromagnetic Sources of the Pattern Onset Response in Man.- Discussion: Evoked Potentials.- Cortical Processing and Psychophysical Measurement.- Probing the Primate Visual Cortex: Pathways and Perspectives.- Lateral Interactions in Visual Cortex.- The Perceptual Significance of Cortical Organization.- Orientation and Spatial Frequency Selectivity: Properties and Modular Organization.- Orientation and Color Columns in Monkey Striate Cortex.- Discussion: Cortical Processing.- Psychophysical Studies and Post-Receptoral Processes.- Visual Photometry: Relating Psychophysics to some Aspects of Neurophysiology.- Sensory and Perceptual Processes in Seeing Brightness and Lightness.- Assimilation Versus Contrast.- On Achromatic Colors.- Color Opponency from Eye to Brain.- Chromatic Mechanisms beyond Linear Opponency.- Discussion: Psychophysics and Post-Receptoral Processes I.- Adaptation Mechanisms in Color and Brightness.- Testing the Contrast Explanation of Color Constancy.- Adaptation and Color Discrimination.- Studies on Colour Constancy in Man Using a "Checkerboard - Mondrian".- Discussion: Post-Receptoral Processes II.- Models, Neural Processes and Psychophysics.- Origin of Perceptually Measured Phase Shifts in the Visual System.- Psychophysical Correlates of Parvo Channel Function.- On the Physiological Basis of Higher Colour Metrics.- Neural Decoding.- Effects of Phase Shifts between Cone Inputs on Responses of Chromatically Opponent Cells.- Different Neural Codes for Spatial Frequency and Contrast.- Displacement Estimation, Stereo Matching and 'Object' Recognition: A Computer Simulation Approach Working with Real World Imagery.- Scaling and Thresholds of Color and Light Described by an Opponent Model of Color Vision Based on Psychophysical Data.- Discussion: Models and Neural Nets.- General Discussion.- Participants.

Dedication. Preface. Acknowledgments. Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries.- Geometric algebra Projective Geometries; Affine and other geometries; Affine Geometry of pseudo-euclidean space; Conformal Geometry and the Horosphere; References. Content-Based Information Retrieval by Group Theoretical Methods.- Introduction; Motivating Examples; General Concept; Fault Tolerance.- Applications, Prototypes, and Test Results; Related Work and Future Research; References.- Four Problems in Radar.-Introduction; Radar Fundamentals; Radar Waveforms; Signal Processing; Space-Time Adaptive Processing; Four Problems in Radar; Conclusions. Introduction to Generalized Classical and Quantum Signal and System Theories on Groups and Hypergroups.-Generalized classical signal/system theory on hypergroups; Generalized quantum signal/system theory on hypergroups; Conclusion; References. Lie Groups and Lie Algebras in Robotics.- Introduction -- Rigid Body Motions; Lie Groups; Finite Screw Motions; Mechanical Joints; Invisible Motion and Gripping; Forward Kinematics; Lie Algebra; The Adjoint Representation; The Exponential Map Derivatives of Exponentials; Jacobians; Concluding Remarks; References. Quantum/Classical Interface: a Geometric Approach from the Classical Side.- Introduction Paravector Space as Spacetime; Eigenspinors; Spin; Dirac Equation; Bell's Theorem; Qubits and Entanglement; Conclusions; References. PONS, Reed-Muller Codes, and Group Algebras.- Introduction; Analytic Theory of One-Dimensional PONS (Welti); Shapiro Sequences, Reed-Muller Codes, and Functional Equations; Group Algebras; Reformulation of Classical PONS; Group Algebra of Classical PONS; GroupAlgebra Convolution; Splitting Sequences; Historical Appendix on PONS; References. Clifford Algebras as a Unified Language.- Introduction; Clifford algebras as models of physical spaces; Clifford Algebras as Models of Perceptual Multicolor Spaces; Hypercomplex-Valued invariants of nD multicolor images; Conclusions; Acknowledgments; References. Recent Progress and Applications in Group FFTs.-Introduction; Finite group FFTs; FFTs for compact groups; Noncompact groups; References. Group Filters and Image Processing.- Introduction: Classical Digital Signal Processing; Abelian Group DSP; Nonabelian Groups; Examples; Group Transforms; Group Filters; Line-like Images; Acknowledgments; References. A Geometric Algebra Approach to Some Problems of Robot Vision.- Introduction; Local Analysis of Multi-dimensional Signals; Knowledge Based Neural Computing; Acknowledgments; References. Group Theory in Radar and Signal Processing.- Introduction; How a Radar Works; Representations; Representations and Radar; Ambiguity Functions; The Wide Band Case; References. Geometry of Paravector Space with Applications to Relativistic Physics.- Clifford Algebras in Physics; Paravector Space as Spacetime; Interpretation; Eigenspinors; Maxwell's Equation; Conclusions; References. A Unified Approach to Fourier-Clifford-Prometheus Transforms- Introduction; New construction of classical and multiparametric Prometheus transforms; PONS associated with Abelian groups; Fast Fourier-Prometheus Transforms; Conclusions; Acknowledgments; References. Fast Color Wavelet Transforms.- Introduction; Color images; Color Wavelet-Haar-Prometheus transforms; Edge detection and compression of color images; Conclusion; Acknowledgments; References. Selected Problems; Various Authors.- Transformations of Euclidean Space and Clifford Geometric; Algebra; References; On the Distribution of Kloosterman Sums on Polynomials over Quaternions; References; Harmonic Sliding Analysis Problems; References; Spectral Analysis under Conditions of Uncertainty; A Canonical Basis for Maximal Tori of the Reductive Centrizer of a Nilpotent Element; References; 6 The Quantum Chaos Conjecture References; Four Problems in Radar; Topic Index; Author Index

1 INTRODUCTION.

VISION AND EXPERIENCE.

VISION AND NATURAL SCIENCE.

VISUAL ILLUSIONS.

2 OPTICS.

LIGHT.

GEOMETRICAL OPTICS.

IMAGING IN THE EYE.

3 THE PHYSIOLOGY OF THE EYE.

THE EYE IS NOT A CAMERA.

THE OPTIC MEDIA.

THE RETINA.

SIGNAL GENERATION.

4 SENSITIVITY AND RESPONSE.

PHOTOMETRY.

CONTRAST VISION.

VISION LOSS.

5 COLOR.

PHYSICS OF COLOR STIMULI

COLOR DIFFERENCES.

COLOR INDUCTION AND ADAPTATION.

6 COLOR VISION.

THE OPPONENT MODEL AND COLOR PERCEPTION.

7 NEURAL CORRELATES.

PSYCHOPHYSICS AND PARALLEL PATHWAYS.

8 BRAIN PROCESSES.

APPENDIX.

A Physiologically Based System for Color Measurement.

Tables and Diagrams.

GLOSSARY.

LITERATURE.

INDEX.