Geometric-optical illusions and their characteristic mathematical functions
Kreiner, Welf A.
FacultiesFakultät für Naturwissenschaften
For several geometric-optical illusions the intensity appears to depend mainly on one particular geometric parameter in quite a systematic way. Plotting the magnitude of an illusion over this parameter, the data follow a continuous function within their error margins. From conceptual models based on general scientific laws, mathematical functions are derived and fitted to experimental data of illusions. For some of them the plot can be approximated by a fairly simple expression, eg, by an exponential decay function, a power or even by a linear function. Expressions of this kind are regarded as basic functions. Other illusions seem to be the result of compound effects, involving two or more functions. In case illusions share the same function it appears likely that they share quite a similar way of data processing, too. Relationships of this kind serve as a basis of a taxonomy. The conceptual models are derived from crosstalk, lateral inhibition, size constancy and subjective contours.
Subject HeadingsDurchschnitt (Mengenlehre) [GND]
Exponentiell modifizierte Gauß-Funktion [GND]
Geometrisch-optische Täuschung [GND]
Lognormal distribution [GND]
Physikalische Konstante [GND]
Exponential functions [LCSH]
Müller-Lyer, Franz Carl, 1857-1916 [LCSH]
Averaging method (Differential equations) [LCSH]
Optical illusions [LCSH]