Non-Riemannian approach to geometry of visual space: An application of affinely connected geometry to visual alleys and horopter

DOI10.1016/0022-2496(87)90030-7zbMath0627.92024OpenAlexW2043083505WikidataQ115364479 ScholiaQ115364479MaRDI QIDQ1092841

Toshimasa Yamazaki

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-2496(87)90030-7

zbMATH Keywords

geodesicsaffine connectionnumerical calculationsGaussian curvatureChristoffel symbolsteleparallelismBlumenfeld's distance alleyHillebrand's parallel alleyhoropternon-Riemannian visual spaceperception process

Mathematics Subject Classification ID

Affine differential geometry (53A15) Psychophysics and psychophysiology; perception (91E30) Mathematical psychology (91E99)

Related Items

The metrics of visual and haptic space based on parallelity judgements. ⋮ Dual scaling of comparison and reference stimuli in multi-dimensional psychological space ⋮ Functional equations in binocular space perception ⋮ A differential geometric description of the relationships among perceptions

Cites Work

• Alleys in visual space
• An approach to geometry of visual space with no a priori mapping functions: Multidimensional mapping according to Riemannian metrics
• Ricci-Calculus
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