Summation of very close spatial frequencies: the importance of spatial probability summation. 1987

N Graham, and J G Robson
Department of Psychology, Columbia University, New York, NY 10027.

In accounting for pattern thresholds it is necessary to consider probability summation (or equivalent nonlinear pooling) not only across detectors selective for different spatial frequencies but also across detectors in different spatial positions. Interestingly, calculation on this basis shows that the amount of summation between components of closely similar spatial frequency in a large grating is primarily determined by the variation in sensitivity of detectors at different spatial locations and is little affected by the spatial-frequency bandwidths of the detectors. To test this conclusion, we have measured the amount of summation between two components with spatial frequencies very close to 6 c/deg in two regions of the visual field: in the fovea (a region where sensitivity is very non-uniform) and in the periphery (where sensitivity is nearly uniform). As predicted, there was less summation between components of very closely similar frequencies in the nearly-uniform peripheral region than in the non-uniform foveal region. Measurements in the fovea of the summation of two components with spatial frequencies very near to either 1.5, 6 or 24 c/deg showed, as expected, that the amount of summation depends upon the ratio of the frequencies rather than their absolute difference, indicating that probability summation takes place over an area related to spatial frequency rather than over a fixed area.

UI MeSH Term Description Entries
D008297 Male Males
D008433 Mathematics The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Mathematic
D008959 Models, Neurological Theoretical representations that simulate the behavior or activity of the neurological system, processes or phenomena; includes the use of mathematical equations, computers, and other electronic equipment. Neurologic Models,Model, Neurological,Neurologic Model,Neurological Model,Neurological Models,Model, Neurologic,Models, Neurologic
D010364 Pattern Recognition, Visual Mental process to visually perceive a critical number of facts (the pattern), such as characters, shapes, displays, or designs. Recognition, Visual Pattern,Visual Pattern Recognition
D005260 Female Females
D005403 Fixation, Ocular Positioning and accommodation of eyes that allows the image to be brought into place on the FOVEA CENTRALIS of each eye. Focusing, Ocular,Ocular Fixation,Eye Gaze,Eye Gazes,Gaze, Eye,Gazes, Eye,Ocular Focusing
D005556 Form Perception The sensory discrimination of a pattern, shape, or outline. Contour Perception,Contour Perceptions,Form Perceptions,Perception, Contour,Perception, Form,Perceptions, Contour,Perceptions, Form
D005584 Fovea Centralis An area approximately 1.5 millimeters in diameter within the macula lutea where the retina thins out greatly because of the oblique shifting of all layers except the pigment epithelium layer. It includes the sloping walls of the fovea (clivus) and contains a few rods in its periphery. In its center (foveola) are the cones most adapted to yield high visual acuity, each cone being connected to only one ganglion cell. (Cline et al., Dictionary of Visual Science, 4th ed)
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D012684 Sensory Thresholds The minimum amount of stimulus energy necessary to elicit a sensory response. Sensory Threshold,Threshold, Sensory,Thresholds, Sensory

Related Publications

N Graham, and J G Robson
October 1983, Journal of the Optical Society of America,
N Graham, and J G Robson
December 2005, Somatosensory & motor research,
N Graham, and J G Robson
July 1971, Vision research,
N Graham, and J G Robson
March 2013, Journal of the Optical Society of America. A, Optics, image science, and vision,
N Graham, and J G Robson
January 1979, Vision research,
N Graham, and J G Robson
January 1999, Somatosensory & motor research,
N Graham, and J G Robson
October 1992, Vision research,
N Graham, and J G Robson
June 1959, Proceedings of the Society for Experimental Biology and Medicine. Society for Experimental Biology and Medicine (New York, N.Y.),
Copied contents to your clipboard!