An approach to geometry of visual space with no a priori mapping functions: Multidimensional mapping according to Riemannian metrics

DOI10.1016/0022-2496(82)90002-5zbMath0511.92023OpenAlexW2006755321WikidataQ115364480 ScholiaQ115364480MaRDI QIDQ1839216

Tarow Indow

Publication date: 1982

Published in: Journal of Mathematical Psychology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-2496(82)90002-5

zbMATH Keywords

curvaturehyperbolic geometryRiemannian metricsmultidimensional scalingPoincare metrichoroptersdistance alleysgeometry of visual spacemethod of multidimensional mappingparallel alleys

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Psychophysics and psychophysiology; perception (91E30) Mathematical psychology (91E99) Applications of statistics to psychology (62P15)

Related Items (6)

Non-Riemannian approach to geometry of visual space: An application of affinely connected geometry to visual alleys and horopter ⋮ Alleys on an apparent frontoparallel plane ⋮ Hyperbolic representation of global structure of visual space ⋮ Dual scaling of comparison and reference stimuli in multi-dimensional psychological space ⋮ Global structure of visual space as a united entity ⋮ Multidimensional scaling in dually flat spaces

Cites Work

• Alleys in visual space
• Psychological relations and psychophysical scales: On the status of direct psychophysical measurement
• Constant curvature Riemannian scaling
• Rational distance functions for multidimensional scaling
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• The dimensional representation and the metric structure of similarity data
• A theory of magnitude estimation and cross-modality matching
• Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis
• Nonmetric multidimensional scaling. A numerical method
• Landkarten der nichteuklidischen Ebene
• Foundations of multidimensional scaling.
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