Psychologically simple motions as geodesic paths. part I. Asymmetric objects

[1]  R. Shepard,et al.  Comparison of cube rotations around axes inclined relative to the environment or to the cube. , 1991, Journal of experimental psychology. Human perception and performance.

[2]  R. Goebel,et al.  The mathematics of mental rotations , 1990 .

[3]  J. Freyd,et al.  Apparent Motion of the Human Body , 1990 .

[4]  D. Proffitt,et al.  Understanding wheel dynamics , 1990, Cognitive Psychology.

[5]  R N Shepard,et al.  Apparent motion between shapes differing in location and orientation: A window technique for estimating path curvature , 1989, Perception & psychophysics.

[6]  L. Cosmides.  The logic of social exchange: Has natural selection shaped how humans reason? Studies with the Wason selection task , 1989, Cognition.

[7]  George W. Mackey,et al.  Unitary group representations - in physis, probability, and number theory , 1989, Advanced book classics.

[8]  Allen Newell,et al.  GPS, a program that simulates human thought , 1995 .

[9]  J. Freyd,et al.  Representing statics as forces in equilibrium. , 1988, Journal of experimental psychology. General.

[10]  D. Gilden,et al.  The effect of configural orientation on perceived trajectory in apparent motion , 1988, Perception & psychophysics.

[11]  J. Bharucha,et al.  Judged displacement in apparent vertical and horizontal motion , 1988, Perception & psychophysics.

[12]  Michael Leyton,et al.  A Process-Grammar for Shape , 1988, Artif. Intell..

[13]  Edmund Taylor Whittaker,et al.  A Treatise on the Analytical Dynamics of Particles and Rigid Bodies: THE GENERAL THEORY OF ORBITS , 1988 .

[14]  S. Wainwright.  Axis and Circumference: The Cylindrical Shape of Plants and Animals , 1988 .

[15]  J. Freyd.  Dynamic mental representations. , 1987, Psychological review.

[16]  R. Shepard,et al.  Toward a universal law of generalization for psychological science. , 1987, Science.

[17]  L M Parsons,et al.  Imagined spatial transformation of one's body. , 1987, Journal of experimental psychology. General.

[18]  L. Parsons.  Imagined spatial transformations of one's hands and feet , 1987, Cognitive Psychology.

[19]  J. Freyd,et al.  Probing the time course of representational momentum. , 1987, Journal of experimental psychology. Learning, memory, and cognition.

[20]  I. Biederman.  Recognition-by-components: a theory of human image understanding. , 1987, Psychological review.

[21]  Michael Leyton,et al.  Nested structures of control: An intuitive view , 1987, Comput. Vis. Graph. Image Process..

[22]  L M Parsons,et al.  Visual discrimination of abstract mirror-reflected three-dimensional objects at many orientations , 1987, Perception & psychophysics.

[23]  Michael Leyton,et al.  A theory of information structure II: A theory of perceptual organization Journal of Mathematical Ps , 1986 .

[24]  M Leyton,et al.  A theory of information structure. I. General principles , 1986 .

[25]  R A Finke,et al.  Implied velocity and acceleration induce transformations of visual memory. , 1986, Journal of experimental psychology. General.

[26]  Michael Leyton,et al.  Principles of information structure common to six levels of the human cognitive system , 1986, Inf. Sci..

[27]  K. Pribram,et al.  Holonomic brain theory in imaging and object perception. , 1986, Acta psychologica.

[28]  Ken Shoemake,et al.  Animating rotation with quaternion curves , 1985, SIGGRAPH.

[29]  J. Freyd,et al.  A velocity effect for representational momentum , 1985 .

[30]  R N Shepard,et al.  Representation of the orientations of shapes. , 1985, Acta psychologica.

[31]  M. Just,et al.  Cognitive coordinate systems: accounts of mental rotation and individual differences in spatial ability. , 1985, Psychological review.

[32]  W. Epstein,et al.  The status of the minimum principle in the theoretical analysis of visual perception. , 1985, Psychological bulletin.

[33]  D. Proffitt,et al.  Judgments of natural and anomalous trajectories in the presence and absence of motion. , 1985, Journal of experimental psychology. Learning, memory, and cognition.

[34]  R. Shepard,et al.  Upward direction, mental rotation, and discrimination of left and right turns in maps , 1984, Cognition.

[35]  R. Shepard.  Ecological constraints on internal representation: resonant kinematics of perceiving, imagining, thinking, and dreaming. , 1984, Psychological review.

[36]  A. Bahill,et al.  Why can't batters keep their eyes on the ball? , 1984 .

[37]  V. S. Ramachandran,et al.  Extrapolation of motion path in human visual perception , 1983, Vision Research.

[38]  C Bundesen,et al.  Visual Apparent Movement: Transformations of Size and Orientation , 1983, Perception.

[39]  J. Freyd.  Shareability: The Social Psychology of Epistemology* , 1983 .

[40]  J. Dauben.  Georg Cantor and the Origins of Transfinite Set Theory , 1983 .

[41]  R N Shepard,et al.  Path-guided apparent motion. , 1983, Science.

[42]  Jean-Marie Souriau,et al.  Physics and geometry , 1983 .

[43]  S. Palmer.  The Psychology of Perceptual Organization: A Transformational Approach , 1983 .

[44]  P. Dodwell.  The Lie transformation group model of visual perception , 1983, Perception & psychophysics.

[45]  J. Farrell,et al.  Visual transformations underlying apparent movement , 1983, Perception & psychophysics.

[46]  D. Foster,et al.  Overshoot of curvature in visual apparent motion , 1982, Perception & psychophysics.

[47]  R. Shepard.  Geometrical approximations to the structure of musical pitch. , 1982, Psychological review.

[48]  C. Krumhansl,et al.  Tracing the dynamic changes in perceived tonal organization in a spatial representation of musical keys. , 1982, Psychological review.

[49]  J. Cutting,et al.  The minimum principle and the perception of absolute, common, and relative motions , 1982, Cognitive Psychology.

[50]  R. Shepard,et al.  Mental Images and Their Transformations , 1982 .

[51]  R N Shepard,et al.  Shape, orientation, and apparent rotational motion. , 1981, Journal of experimental psychology. Human perception and performance.

[52]  H. Bernstein,et al.  FIBER BUNDLES AND QUANTUM THEORY , 1981 .

[53]  M. Kubovy,et al.  Does pattern matching require the normalization of size and orientation? , 1981, Perception & psychophysics.

[54]  A. Caramazza,et al.  Curvilinear motion in the absence of external forces: naive beliefs about the motion of objects. , 1980, Science.

[55]  R. Bishop,et al.  Tensor Analysis on Manifolds , 1980 .

[56]  Gerald J. Balzano,et al.  The group-theoretic description of 12-fold and microtonal pitch systems , 1980 .

[57]  J. W. Humberston.  Classical mechanics , 1980, Nature.

[58]  S. Ullman,et al.  The Interpretation of Visual Motion , 1981 .

[59]  J E Cutting,et al.  Perceiving the centroid of configurations on a rolling wheel , 1979, Perception & psychophysics.

[60]  L. Ahlfors.  Complex Analysis , 1979 .

[61]  F. Restle.  Coding theory of the perception of motion configurations. , 1979, Psychological review.

[62]  J. Gibson.  The Ecological Approach to Visual Perception , 1979 .

[63]  G. Mackey.  Harmonic analysis as the exploitation of symmetry–a historical survey , 1980 .

[64]  Stephen E. Palmer,et al.  Orientation and symmetry: effects of multiple, rotational, and near symmetries. , 1978, Journal of experimental psychology. Human perception and performance.

[65]  M. Corballis,et al.  Mental rotation under head tilt: Factors influencing the location of the subjective reference frame , 1978, Perception & psychophysics.

[66]  T Caelli,et al.  Subjective Lorentz transformations and the perception of motion. , 1978, Journal of the Optical Society of America.

[67]  R. Shepard.  The mental image. , 1978 .

[68]  C. Bundesen,et al.  Size scaling in visual pattern recognition. , 1978, Journal of experimental psychology. Human perception and performance.

[69]  K. H. Hunt,et al.  Kinematic geometry of mechanisms , 1978 .

[70]  S. Helgason.  Differential Geometry, Lie Groups, and Symmetric Spaces , 1978 .

[71]  D. Foster.  Visual apparent motion and the calculus of variations , 1978 .

[72]  Roger N. Shepard,et al.  Spatio-temporal probing of apparent rotational movement , 1977 .

[73]  M. Corballis,et al.  What’s up in mental rotation? , 1976 .

[74]  J. Milnor.  Curvatures of left invariant metrics on lie groups , 1976 .

[75]  L. Cooper.  Demonstration of a mental analog of an external rotation , 1976 .

[76]  B. Shanon.  Aristotelianism, Newtonianism and the Physics of the Layman , 1976, Perception.

[77]  R. Shepard,et al.  Perceptual illusion of rotation of three-dimensional objects. , 1976, Science.

[78]  C. Bundesen,et al.  Visual transformation of size. , 1975, Journal of experimental psychology. Human perception and performance.

[79]  R. Shepard,et al.  Mental transformations in the identification of left and right hands. , 1975, Journal of experimental psychology. Human perception and performance.

[80]  L. Cooper.  Mental rotation of random two-dimensional shapes , 1975, Cognitive Psychology.

[81]  R. Penrose.  Twistor theory - Its aims and achievements , 1975 .

[82]  W. R. Garner.  The Processing of Information and Structure , 1974 .

[83]  Fred Attneave,et al.  Apparent movement and the what-where connection. , 1974 .

[84]  R. Shepard,et al.  Transformational studies of the internal representation of three-dimensional objects. , 1974 .

[85]  V. Arnold.  Mathematical Methods of Classical Mechanics , 1974 .

[86]  W. T. Powers.  Behavior, the control of perception , 1973 .

[87]  G. Johansson.  Visual perception of biological motion and a model for its analysis , 1973 .

[88]  Allen Newell,et al.  Human Problem Solving. , 1973 .

[89]  R. Shepard,et al.  CHRONOMETRIC STUDIES OF THE ROTATION OF MENTAL IMAGES , 1973 .

[90]  R. Shepard,et al.  A chronometric study of mental paper folding , 1972 .

[91]  E. Leeuwenberg.  A perceptual coding language for visual and auditory patterns. , 1971, The American journal of psychology.

[92]  R. Shepard,et al.  Mental Rotation of Three-Dimensional Objects , 1971, Science.

[93]  J. Chang,et al.  Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition , 1970 .

[94]  B. P. Ickes,et al.  A new method for performing digital control system attitude computations using quaternions , 1968 .

[95]  G. Mackey.  Induced representations of groups and quantum mechanics , 1968 .

[96]  L. Susskind,et al.  OBSERVABILITY OF THE SIGN CHANGE OF SPINORS UNDER 2$pi$ ROTATIONS. , 1967 .

[97]  F. Attneave,et al.  Discriminability of stimuli varying in physical and retinal orientation , 1967 .

[98]  Harvey Cohn,et al.  Conformal Mapping on Riemann Surfaces , 1967 .

[99]  J. Gibson.  The Senses Considered As Perceptual Systems , 1967 .

[100]  W. Hoffman.  The Lie algebra of visual perception , 1966 .

[101]  J. Romain,et al.  Introduction to General Relativity , 1965 .

[102]  J. Synge,et al.  Principles of Mechanics , 1963 .

[103]  K. Nomizu,et al.  Foundations of Differential Geometry , 1963 .

[104]  G. Miller,et al.  Plans and the structure of behavior , 1960 .

[105]  E. Wigner,et al.  Book Reviews: Group Theory. And Its Application to the Quantum Mechanics of Atomic Spectra , 1959 .

[106]  W. H. Ittelson,et al.  The role of past experience in apparent movement: a revaluation. , 1956, British journal of psychology.

[107]  J. Bruner,et al.  Expectancy in apparent visual movement. , 1954, British journal of psychology.

[108]  E. Cassirer.  The concept of group and the theory of perception , 1944 .

[109]  K. J. Craik,et al.  The nature of explanation , 1944 .

[110]  P. Zsombor-Murray,et al.  Elementary Mathematics from an Advanced Standpoint , 1940, Nature.

[111]  J. F. Brown,et al.  The Path of Seen Movement as a Function of the Vector-Field , 1937 .

[112]  P. Dirac.  Principles of Quantum Mechanics , 1982 .

[113]  E. Cartan.  La Géométrie des groupes de transformation , 1927 .

[114]  Ernst Mach,et al.  The Analysis of Sensations. , 1916 .

[115]  E. Cartan.  Les groupes réels simples, finis et continus , 1914 .

[116]  Felix C. Klein,et al.  A comparative review of recent researches in geometry , 1893, 0807.3161.

[117]  Clifford,et al.  Preliminary Sketch of Biquaternions , 1871 .

[118]  William Rowan Hamilton,et al.  Lectures on quaternions , 1853 .

[119]  W. Hamilton.  II. On quaternions; or on a new system of imaginaries in algebra , 1844 .