|
INDEX
|
BIBLIOGRAPHY—THEORETICAL PUBLICATIONS ON THE LIE TRANSFORMATION GROUP THEORY OF NEUROPSYCHOLOGY
by William
C. Hoffman— Comments
on optical art. Applied Optics
5 (1966), 873-4. The
Lie algebra of visual perception. J.
Mathematical Psychology 3 (1966), 65-98. Errata 4
(1967) 348-9. The
neuron as a Lie group germ and a Lie product.
Quarterly of Applied Mathematics 25 (1968), 423-441. Higher
visual perception as prolongation of the basic Lie transformation group.
Mathematical Biosciences 6 (1970), 437-471. Memory
grows. Kybernetik 8
(1971a), 151-7. Visual
illusions of angle as an application of Lie transformation groups.
S.I.A.M. Review 13 (1971b),
169-184. In
defense of the L.T.G./N.P. Melbourne
University Psychology Report No. 22. Melbourne
University, Parkville, Victoria, Australia, 1976a. A
mathematical framework for Piagetian psychology. Melbourne University Psychology Report no. 25. Melbourne University, Parkville, Victoria, Australia,
1976b. An
informal, historical description (with bibliography) of the “L.T.G./N.P.”
Cahiers de Psychologie (Provence) 20 (1977a), 135-174. Commentary
and conclusions: An overview of the C.N.R.S.-I.N.P. conference on the L.T.G./N.P.
Cahiers de Psychologie (Provence) 20
(1977b),
219-231. The
Lie transformation group approach to visual neuropsychology.
In: Formal Theories of Visual Perception, E.L.J. Leeuwenberg & H. Buffart (Eds.), pp.
27-66. John Wiley, Chichester,
UK, 1978. Subjective
geometry and Geometric Psychology. International
J. Mathematical Modeling 1 (1980a), 349-367. Mathematical
models of Piagetian psychology. In:
Toward a Theory of Psychological Development, S. & C. Modgil (Eds.), Chap. 13.
National Foundation for Educational Research Publishing Co. Ltd.,
Windsor, UK, 1980b. Environmental
psychology, ecological psychology, and the Geometry of Systems.
In: Proc. International Congress on Applied Systems Research &
Cybernetics, Vol.
IV, G. E. Lasker (Ed.). Pergamon Press, London, 1981. Figural
synthesis by vectorfields: Geometric
Psychology. In:
Figural Synthesis, P. C. Dodwell & T. M. Caelli (Eds.). Erlbaum
Associates, Hillsdale, NJ, 1984. Some
reasons why algebraic topology is important in neuropsychology:
Perceptual and cognitive systems as fibrations. International
J. Man-Machine Studies 22 (1985), 613-650. (with
Peter Dodwell). Geometric
Psychology generates the visual Gestalt.
Canadian J. Psychology 39 (1985), 491-528. Invariant
and programmable neuropsychological systems are fibrations.
Behavioural & Brain Sciences 9 (1986), 99-100. The
visual cortex is a contact bundle. Applied
Mathematics & Computation 32 (1989), 137-167. Symmetry
and Geometric Psychology. Symmetry:
Culture & Science 3 (1992), 305-310. The
conformal group CO(1,3) as basis for both ‘Nature’ and perception cum self-reference.
In: Proc. 8th
International Congress of Cybernetics & Systems,
Vol. 1, C. N. Manikopolous (Ed.), pp. 368-373.
New Jersey Institute of Technology Press, Newark, NJ,
1990. Equivariant
dynamical systems: A formal model for generation of arbitrary shapes.
In: Shape in Picture: Mathematical Description of Shape in Grey-Level
Images, O.
Ying-Lie, A. Toet, D. Foster, H.J.A.M. Heijmans, & P. Meer (Eds.), pp.
363-382. Springer-Verlag, Berlin,
1994a. Conformal
structures in perceptual psychology. Spatial
Vision 8 (1994b), 19-31. A
topological interpretation of cognition.
In: Proc. 18th
Annual Conf. Cognitive Sci. Soc., G. W. Cottrell (Ed.), p. 775.
Erlbaum Associates, Mahway, NJ, 1996. The
topology of wholes, parts, and their perception-cognition. ftp://ftp.princeton.edu/pub/harnad/Psycoloquy/1998.volume.9/psyc.98.9.03.part-whole-perception.4.
hoffman. Are
neural nets a valid model of cognition? ftp://ftp.princeton.edu/pub/harnad/Psycoloquy/1998.volume.9/psyc.98.9.12.connectionist-explanation.9.
hoffman.
by Peter C. Dodwell— Space
perception and pattern recognition. Cahiers
de Psychologie(Provence) 20
(1977), 91-105. Criteria
for a neuropsychological theory of perception.
Cahiers de Psychologie (Provence)
20 (1977), 175-182. The
Lie transformation group approach to visual perception.
Perception & Psychophysics 34 (1983),
1-16. (with
W. C. Hoffman) Geometric
Psychology generates the visual Gestalt.
Canadian J. Psychology 39
(1985),
491-528. (with
G. K. Humphrey) A functional
theory of the McCollough effect. Psychological
Review 97 (1990), 78-89.
by T.M. Caelli— Models,
Lie algebras and visual pattern recognition.
Ph.D. thesis, University of Newcastle,
1974. Criticisms
of the L.T.G./N.P. theory of perceptual psychology. Cahiers de Psychologie (Provence) 20 (1977), 197-204. (with
W. C. Hoffman & H. Lindman) Apparent
motion: Self-excited oscillations induced by retarted (sic) neuronal flows.
In Formal Theories of Visual Perception,
E.L.J.Leeuwenberg & H. Buffart (Eds.), pp. 103-116.
John Wiley, Chichester, 1978. (with
P. C. Dodwell) The perception of structure in vector graphs: local and global
effects Perception & Psychophysics 32 (1982), 27-35. (with
M. Ferraro). Lie transformation
groups, integral transforms, and invariant pattern recognition.
Spatial Vision 8 (1994), 33-44.
by J. Paillard— Facing
physical reality. Cahiers de
Psychologie (Provence) 20 (1977), 71-2.
by Claude P. Bruter— Initiation
a la geometrie differentielle. Cahiers
de Psychologie (Provence) 20 (1977), 73-90. On
Hoffman’s work. Cahiers de
Psychologie (Provence) 20 (1977), 183-195.
by Kai Von
Fieandt— Constructs
of perceptual space and the value of neurophysiological explanations.
Cahiers de Psychologie (Provence) 20 (1977), 205-7.
by Mario Ferraro— Invariant
pattern representations and Lie group theory.
Adv. Electronics & Electron Physics 84
(1992), 131-195. [This
reference contains many errors with respect to the LTG/NP and should be
regarded with
caution.]
.
.
|