Elements of neurogeometry : functional architectures of vision / Jean Petitot.
This book describes several mathematical models of the primary visual cortex, referring them to a vast ensemble of experimental data and putting forward an original geometrical model for its functional architecture, that is, the highly specific organization of its neural connections. The book spells...
Saved in:
| Main Author: | |
|---|---|
| Format: | Ebook |
| Language: | English French |
| Published: |
Cham :
Springer,
2017.
|
| Series: | Lecture notes in morphogenesis.
|
| Subjects: | |
| Online Access: | Springer eBooks |
MARC
| LEADER | 00000czm a22000004i 4500 | ||
|---|---|---|---|
| 003 | OCoLC | ||
| 005 | 20221102222527.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---|nuuu | ||
| 008 | 171118s2017 sz ob 001 0 eng d | ||
| 011 | |a Direct Search Result | ||
| 011 | |a EDS Title: Elements of Neurogeometry: Functional Architectures of Vision | ||
| 011 | |a MARC Score : 8650(20400) : SubPar | ||
| 020 | |z 3319655892 | ||
| 020 | |z 9783319655895 | ||
| 035 | |a (ATU)b24673730 | ||
| 035 | |a (EDS)EDS15270409 | ||
| 035 | |a (OCoLC)1012344986 | ||
| 040 | |a EBLCP |b eng |e rda |c EBLCP |d N$T |d GW5XE |d OCLCF |d FIE |d OCLCQ |d OCLCO |d AZU |d UPM |d IOG |d ATU | ||
| 041 | 1 | |a eng |h fre | |
| 050 | 4 | |a QP383 | |
| 082 | 0 | 4 | |a 510 |
| 100 | 1 | |a Petitot, Jean, |d 1944- |e author. |9 241848 | |
| 240 | 1 | 0 | |a Neurogéométrie de la vision. |l English |
| 245 | 1 | 0 | |a Elements of neurogeometry : |b functional architectures of vision / |c Jean Petitot. |
| 264 | 1 | |a Cham : |b Springer, |c 2017. | |
| 300 | |a 1 online resource (388 pages). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF | ||
| 490 | 1 | |a Lecture Notes in Morphogenesis | |
| 500 | |a ""4.3.3 Fibre Bundles"". | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a ""Of Interest for Neurogeometry by Jean Petitot""; ""Contents""; ""About the Author""; ""Keywords""; ""1 Preface""; ""1.1 The Goal of This Work ""; ""1.2 An Outline of This Work ""; ""1.2.1 Outline of the First Volume""; ""1.2.2 Some Remarks Concerning the Second Volume""; ""1.2.3 Limits of This Investigation""; ""1.3 History, Context, and Acknowledgements ""; ""References""; ""2 Introduction""; ""2.1 Origin of Space and Neurogeometry""; ""2.1.1 Geometric, Physical, and Sensorimotor Conceptions of Space""; ""2.1.2 The Neurogeometric Approach"" | |
| 505 | 8 | |a ""2.11.3 Entoptic Phenomena""""2.11.4 The Cut Locus""; ""References""; ""3 Receptive Fields and Profiles, and Wavelet Analysis""; ""3.1 Structure of the Retino-Geniculo-Cortical Visual Pathways""; ""3.2 Receptive Fields and Receptive Profiles""; ""3.2.1 Structure of the Retina""; ""3.2.2 Neurons and Action Potentials""; ""3.2.3 Structure of the Photoreceptors""; ""3.2.4 Ganglion Cells""; ""3.2.5 Retinal Colour Coding Circuitry""; ""3.2.6 General Receptive Fields and Neural Coding""; ""3.3 Visual Neurons as Filters""; ""3.3.1 Gabor Wavelets and Derivatives of Gaussians"" | |
| 505 | 8 | |a ""2.2 Perceptual Geometry, Neurogeometry, and Gestalt Geometry """"2.3 Geometry's `Twofold Way'""; ""2.4 Idealities and Material Processes""; ""2.5 Mathematical Prerequisites and the Nature of Models""; ""2.6 Mathematical Structures and Biophysical Data""; ""2.7 Levels of Investigation: Micro, Meso, and Macro""; ""2.8 The Context of Cognitive Science""; ""2.9 Complex Systems and the Physics of the Mental""; ""2.10 The Philosophical Problem of Cognitive Science""; ""2.11 Some Examples ""; ""2.11.1 The Gestalt Concept of Good Continuation""; ""2.11.2 Kanizsa's Illusory Contours"" | |
| 505 | 8 | |a ""3.3.2 Steerable Filters""""3.3.3 Linearity Versus Nonlinearity""; ""3.3.4 Visual Neurons as Convolution Operators""; ""3.3.5 Fine Orientation Discrimination""; ""3.4 Vision and Wavelets""; ""3.4.1 Fourier, Gabor, and Wavelets""; ""3.4.2 Wavelets and Group Representation""; ""3.4.3 Wavelets and Discontinuities""; ""3.4.4 Redundancy of Wavelets""; ""3.4.5 Compression and Geometry""; ""3.4.6 Matching Pursuit and Rank Coding""; ""3.5 Feature Detectors""; ""3.6 Receptive Profiles and Information Theory""; ""3.6.1 Signal Decorrelation and Efficient Coding"" | |
| 505 | 8 | |a ""3.6.2 Receptive Profiles and Natural Images""""3.7 Signal Processing and Geometrical Formatting""; ""3.8 Grid Cells and Place Cells""; ""3.8.1 Spatial Navigation""; ""3.8.2 Place Cells""; ""3.8.3 Grid Cells""; ""3.8.4 Head Direction Cells""; ""3.8.5 Implementing the Tangent Bundle""; ""References""; ""4 Functional Architecture I: The Pinwheels of V1""; ""4.1 The Areas of the Visual Cortex""; ""4.2 Hypercolumnar Structure of the V1 Area""; ""4.3 V1 as a Mesoscopic Fibration""; ""4.3.1 `Bridging Scales': The Mesoscopic Level""; ""4.3.2 Fibrations and Engrafted Variables"" | |
| 520 | |a This book describes several mathematical models of the primary visual cortex, referring them to a vast ensemble of experimental data and putting forward an original geometrical model for its functional architecture, that is, the highly specific organization of its neural connections. The book spells out the geometrical algorithms implemented by this functional architecture, or put another way, the "neurogeometry" immanent in visual perception. Focusing on the neural origins of our spatial representations, it demonstrates three things: firstly, the way the visual neurons filter the optical signal is closely related to a wavelet analysis; secondly, the contact structure of the 1-jets of the curves in the plane (the retinal plane here) is implemented by the cortical functional architecture; and lastly, the visual algorithms for integrating contours from what may be rather incomplete sensory data can be modelled by the sub-Riemannian geometry associated with this contact structure. As such, it provides readers with the first systematic interpretation of a number of important neurophysiological observations in a well-defined mathematical framework. The book's neuromathematical exploration appeals to graduate students and researchers in integrative-functional-cognitive neuroscience with a good mathematical background, as well as those in applied mathematics with an interest in neurophysiology.-- |c Provided by publisher. | ||
| 588 | |a Machine converted from non-AACR2, ISBD-encoded source record. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Vision |x Mathematical models |9 725953 | |
| 650 | 0 | |a Visual cortex |x Mathematical models |9 720512 | |
| 650 | 0 | |a Visual perception |x Mathematical models |9 725059 | |
| 776 | 0 | 8 | |i Print version: |a Petitot, Jean. |t Elements of Neurogeometry : Functional Architectures of Vision. |d Cham : Springer International Publishing, ©2017 |z 9783319655895 |
| 776 | 1 | 8 | |w (OCoLC)1017779187 |w (OCoLC)1017939258 |
| 830 | 0 | |a Lecture notes in morphogenesis. |9 830109 | |
| 856 | 4 | 0 | |u https://ezproxy.aut.ac.nz/login?url=https://link.springer.com/10.1007/978-3-319-65591-8 |z Springer eBooks |x TEMPORARY ERM URL |
| 907 | |a .b24673730 |b 06-09-21 |c 10-01-18 | ||
| 942 | |c EB | ||
| 998 | |a none |b 11-05-18 |c m |d z |e - |f eng |g sz |h 0 | ||
| 999 | |c 1448592 |d 1448592 | ||