Download or read book Perception of Geometric Shapes written by Leslie Alan Kilmartin and published by . This book was released on 1966 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Judgement of the Eye written by Jürgen Weber and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author, Jürgen Weber, brings together the results of various disciplines and his own research and experience as a sculptor and painter and stitches together an exciting new theory of perception of form. In doing so, Weber - who also has a scientific background - explores the fascinating question of what additional information the thing that is seen conveys. How do we tell the difference between a cheerful and a gloomy face? Why do we see that a bud will open shortly? Why do we find some phenomena to be dangerous and others to be desirable? These question have not yet been investigated in a systematic and scientific way, although they are of vital importance to our behaviour. No doubt, this book represents a unique and timely contribution to the many disciplines concerned with the wonders of perception.
Download or read book Area Perception as a Function of Geometric Shape written by Han-Tai Yoo and published by . This book was released on 1982 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Shape written by Jordan Ellenberg and published by Penguin. This book was released on 2021-05-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
Download or read book 3D Shape written by Zygmunt Pizlo and published by MIT Press. This book was released on 2010 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zygmunt Pizlo is Professor of Psychological Sciences and Electrical and Computer Engineering (by courtesy) at Purdue University.
Download or read book Articulations Between Tangible Space Graphical Space and Geometrical Space written by Claire Guille-Biel Winder and published by John Wiley & Sons. This book was released on 2023-08-29 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present some of the latest research in the didactics of space and geometry, deepen some theoretical questions and open up new reflections for discourse. Its focus is as much on the approach of geometry itself and its link with the structuring of space as it is on the practices within the classroom, the dissemination of resources, the use of different artefacts and the training of teachers in this field. We study how spatial knowledge, graphical knowledge and geometric knowledge are taken into account and articulated in the teaching of space and geometry in compulsory schools, teaching resources (programs and textbooks) and current teacher training. We question how the semiotic dimension (language, gestures and signs) of geometric activity can be taken into account, and we identify the role of artefacts (digital or tangible) in the teaching and learning of geometry. This book brings together some fifteen contributions from Frenchspeaking researchers from different countries (France, Switzerland and Canada).
Download or read book The Cone of Perception 4th Edition written by Parker Emmerson and published by Parker Emmerson Publishes on Lulu. This book was released on 2015-12-25 with total page 893 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cone of Perception describes the algebra of orbifold circle folding into a cone with fixed parameters, i.e. an invariant. This is like a mathematical quest to discover a wealth of forms and equations. I began by deciding I was going to make a scientific discovery and by asking the simple question, "at what angle do we perceive two equal line segments in golden ratio with each other?" Diagramming out this scenario, I slowly realized that one could fold the lines of sight onto each other, and the resulting shape formed a cone. Then, I attempted to describe this action algebraically in a phenomenological manner. The difference between the circumferences of two circles equals an arc length of either circle, and this can be applied to the Pythagorean theorem, the realm of relativistic physics. I also illustrate where paradoxes arise in this train of thinking and in my later works, The Sphere of Realization and The Book of Eternity, ameliorate these paradoxes entirely. One can fold a circle into a cone. When a sector of a circle is collapsed (removed, we may, "fold up," the resulting shape into a cone. Over 500 pages of mathematical formulas and graphs at your fingertips. This is the research of several years piecing together potential visualizations of the perceptual cone phenomenon. Extensive, in depth description of perceptual forms included. However, with all these equations, finding a new solution is not difficult. Great for anyone who needs to come up with a mathematical thesis in algebra, geometry, topology, or philosophy. The Cone of Perception includes many graphs and solutions to the equations of perceiving a circle to be one size and then perceiving a circle of a different size. The Cone of Perception is a work that confronts the perceptually evident purely geometric truth. The quest to discover this wealth of mathematical forms and equations began by deciding I was going to make a scientific discovery and by asking the simple question, "at what angle do we perceive two equal line segments in golden ratio with each other?" Diagraming out this scenario, I slowly realized that one could fold the lines of sight onto each other, and the resulting shape formed a cone. Then, I attempted to describe this action algebraically. The difference in circumferences of two circles equals an arc length, and this can be applied to the Pythagorean theorem and the realm of relativistic physics. I discovered certain fundamental structures within the ideal Platonic forms in the Euclidean and Pythagorean sense that can be used to perform a phenomenological description of perception and our perceived reality which is more accurate to the true nature of the Universe than current physics and beliefs about our physical reality. One can fold a circle into a cone. When a sector of a circle is collapsed (removed), we may "fold up" the resulting shape into a cone. The book relates the system of a circle transforming through a cone to the perceptual theories of Gibson, Koffka, Husserl, and Sense Data theory. It also delves into the mathematics of perceiving a difference in circumferences and presents a computational solution to the velocity variable within the Lorentz transformation. This solution is found only when using the exact speed of light in scientific notation. The auspicious symbols of the umbrella and the conch in Buddhist philosophy are perhaps a hidden message, or a hint to the true nature of reality delivered down through the ages to those who might seek to perceive and inquire. However, the mathematical expression of the, "umbrellic transformation," is one rarely discussed in Buddhist circles that I have encountered if ever, and it is certainly not vocally embodied in the vibrant message promoted and propagated by the majority of the Buddhist community, though many Buddhists do have a respect for the sciences, and math is highly prized in the societies of India and Nepal. We are only beginning to understand what the meaning of the, "phenomenological velocity," solution truly is and how the curvatures that result from the solutions to the v-variable are effecting the perceived phenomena in our reality. The idea that we can solve for something that cancels out with itself, that we can prove it cancels out with itself, yet we can solve in a non-trivial way that there is a complex polynomial equation that fits as a solution is a bit mystifying, however it is real. We ask ourselves, "why do the galaxies spiral?" We ask ourselves, what is the phenomenon of, "dark matter," and we lack answers to these basic questions, but with the new dimension (or metric) that has emerged from within the structure of the circle's folding into a cone, and the new solution to the v-variable within Lorentz coefficient as presented within The Geometric Patterns of Perception (Emmerson, 2009), we have a way forward. Physicists have assumed that mass is a real phenomenon, and have based all their formulations upon this concept. However functional the postulate of mass's, "being," is, it is still an assumption on its face. Just because a theory works, does not mean it's technically correct. Does one actually perceive a mass? Or has one inferred that a concept of mass must exist as the basis of reality, and if so, "on what notion was this inference based?" The Geometric Pattern of Perception Theorems base their functionality of describing the motion of and perceived being of, "objects," in the world through pure algebra and geometry of the transformation of ideal shapes. Through perceiving and describing these transformations phenomenologically, we can extract a plentitude of equations describing transformation and motion, which act as articulation of perceived phenomena of transformation and motion and may suffice for explaining curvature of space time relating with gravity, including the curvature perceived as correlating with dark matter. People speak of Energy to describe the phenomenon of that which is neither created nor destroyed, but really, all that is needed to describe that phenomenon is contained within the phenomenological velocity," equation, also known as V-Curvature, since it's not really even necessary to consider it velocity. We have a wave equation within the fabric of perceived reality, the expressions of which were derived from the most basic, fundamental ideal forms, that never equals zero, meaning it most likely never began, and it certainly will never end (or it can't be created, and it can't be destroyed). From this (loose) definition of Energy, we now have a theoretical "mass-energy," relation, if we still need to cling to the concepts of mass and energy.
Download or read book Shapes of Forms written by L. Albertazzi and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: impossible triangle, after apprehension of the perceptively given mode of being of that 'object', the visual system assumes that all three sides touch on all three sides, whereas this happens on only one side. In fact, the sides touch only optically, because they are separate in depth. In Meinong's words, Penrose's triangle has been inserted in an 'objective', or in what we would today call a "cognitive schema". Re-examination of the Graz school's theory, as said, sheds light on several problems concerning the theory of perception, and, as Luccio points out in his contribution to this book, it helps to eliminate a number of over-simplistic commonplaces, such as the identification of the cognitivist notion of 'top down' with Wertheimer's 'von oben unten', and of 'bottom up' with his 'von unten nach oben'. In fact, neither Hochberg's and Gregory's 'concept-driven' perception nor Gibson's 'data-driven' perception coincide with the original conception of the Gestalt.
Download or read book Visual Perception of Form written by Leonard Zusne and published by . This book was released on 1970 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Nature of Time Geometry Physics and Perception written by R. Buccheri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are very few concepts that fascinate equally a theoretical physicist studying black holes and a patient undergoing seriolls mental psychosis. Time, undoubtedly, can well be ranked among them. For the measure of time inside a black hole is no less bizarre than the perception of time by a schizophrenic, who may perceive it as completely "suspended," "standing still," or even "reversing its direction. " The nature of time is certainly shrouded in profound mystery. This, perhaps, since the concept entails multifarious, and occasionally incongruous, facets. No wonder the subject attracts the serious attention of scholars on the one hand, and of the lay public on the other. Our Advanced Research Workshop is an excellent il lustration of this point, as the reader will soon discover. It turned out to be a unique professional forum for an unusually lively, effective and fruitful exchange of ideas and beliefs among 48 participants from 20 countries worldwide, selected out of more than a hundred applicants. The present book is based on the select talks presented at the meeting, and aims to provide the interested layperson and specialist alike with a multidisciplinary sampling of the most up-to-date scholarly research on the nature of time. It represents a coherent, state-of-the-art volume showing that research relevant to this topic is necessarily interdisciplinary and does not ignore such delicate issues as "altered" states of consciousness, religion and metaphysics.
Download or read book Early Geometrical Thinking in the Environment of Patterns Mosaics and Isometries written by Ewa Swoboda and published by Springer. This book was released on 2016-09-09 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the learning and teaching of geometry, with a special focus on kindergarten and primary education. It examines important new trends and developments in research and practice, and emphasizes theoretical, empirical and developmental issues. Further, it discusses various topics, including curriculum studies and implementation, spatial abilities and geometric reasoning, as well as the psychological roots of geometrical thinking and teacher preparation in geometry education. It considers these issues from historical, epistemological, cognitive semiotic and educational points of view in the context of students' difficulties and the design of teaching and curricula.
Download or read book Space Perception and the Philosophy of Science written by Patrick A. Heelan and published by Univ of California Press. This book was released on 2023-07-28 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on the phenomenological tradition in the philosophy of science and philosophy of nature, Patrick Heelan concludes that perception is a cognitive, world-building act, and is therefore never absolute or finished.
Download or read book Geometric Representations of Perceptual Phenomena written by R. Duncan Luce and published by Psychology Press. This book was released on 2013-05-13 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a conference held in honor of Professor Tarow Indow, this volume is organized into three major topics concerning the use of geometry in perception: * space -- referring to attempts to represent the subjective space within which we locate ourselves and perceive objects to reside; * color -- dealing with attempts to represent the structure of color percepts as revealed by various experimental procedures; and * scaling -- focusing on the organization of various bodies of data -- in this case perceptual -- through scaling techniques, primarily multidimensional ones. These topics provide a natural organization of the work in the field, as well as one that corresponds to the major aspects of Indow's contributions. This book's goal is to provide the reader with an overview of the issues in each of the areas, and to present current results from the laboratories of leading researchers in these areas.
Download or read book Visual Perception of Geometric Figures written by Lister David Bainbridge and published by . This book was released on 1965 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cognitive Approaches to Human Perception written by Soledad Ballesteros and published by Psychology Press. This book was released on 2014-02-25 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examining the current state of the research in perception stressing contributions in visual information processing, this volume provides an original and timely account of recent results obtained in this and other related areas of cognitive psychology. The scope of the book is intended to be broad, featuring state-of-the-art contributions from a number of outstanding researchers from different parts of the world -- the United States, Europe, and Australia. The intention is to update areas of considerable theoretical implications and active experimental investigation in this broad field called the "psychology of perception." This volume's main purpose is to highlight, from a cognitive position, a selected number of important theoretical and empirical topics which deal with critical issues in perception and other high level, related cognitive processes such as attention, mental representation, memory, word naming and semantic categorization. The studies reported were designed to answer many far-reaching questions including: * Is the global precedence effect due to low or high level processing? * Can veridical and illusory perception be explained by the same theory? * What is the relationship between attention and perception? * Is perception "direct" or an inferential process? * What mechanisms are involved in picture and word naming and categorization? * How can word and picture processing be modeled? The answers to these questions seek to unite theoretical perspectives on very important areas of cognitive psychology such as attention, perception, representation of visual objects and words, and human memory.
Download or read book Multiple View Geometry in Computer Vision written by Richard Hartley and published by Cambridge University Press. This book was released on 2004-03-25 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.
Download or read book Perception of the Visual Environment written by Ronald G. Boothe and published by Springer Science & Business Media. This book was released on 2006-04-12 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at students taking a course on visual perception, this textbook considers what it means for a man, a monkey and a computer to perceive the world. After an introduction and a discussion of methods, the book deals with how the environment produces a physical effect, how the resulting "image" is processed by the brain or by computer algorithms in order to produce a perception of "something out there". It also discusses color, form, motion, distance, and also the sensing of three dimensionality, before dealing with visual perception and its role in awareness and consciousness. The book concludes with discussions of perceptual development, blindness, and visual disorders. Visual perception is by its very nature an interdisciplinary subject that requires a basic understanding of a range of topics from diverse fields, and this is a very readable guide to all students whether they come from a neuroscience, psychology, cognitive science, robotics, or philosophy background.
