When estimating the number of dots in a set, adults show bias and variability that scale with numerosity. Increasing variance in estimation is thought to reflect constant Weber noise on perceptual magnitude representations, while the increasing bias reflects miscalibrated mappings of number words onto magnitudes. Here we argue that response variability in numerical estimation increases with num...

In this paper we propose new blur identi cation algorithm based on singular value decomposition (SVD) of degraded image. An unknown space-invariant point-spread function (PSF) is also decomposed using SVD. Magnitude functions of PSF singular vectors (left and right) are identi ed using averaged spectra of corresponding singular vectors of degraded image. Phase functions of PSF singular vectors ...

We study phase retrieval from rank-one magnitude and more general linear magnitude measurements of an unknown signal as an algebraic estimation problem. It is verified that a certain number of generic rank-one or generic linear measurements are sufficient to enable signal reconstruction for generic signals, and slightly more generic measurements yield reconstructability for all signals. Our res...

Crossover refers to a pattern of performance on the line bisection test in which short lines are bisected on the side opposite the true center of long lines. Although most patients with spatial neglect demonstrate crossover, contemporary theories of neglect cannot explain it. In contrast, we show that blending the psychophysical construct of magnitude estimation with neglect theory not only exp...

In this article we investigate German complex clauses containing a subject gap using the empirical method of Magnitude Estimation. We will present evidence for the fact that subject gaps in coordinative structures can be characterized by (i) gradience and (ii) regional distinctiveness. Against the background of the recent critical discussion of Magnitude Estimation (e.g. Featherston 2008), we s...

In this study, we tested the main prediction derived from “A Theory Of Magnitude” or ATOM, according to which discrete (e.g., numbers) and continuous space, material) magnitudes are processed within right hemisphere. To do so, examined 11 brain-damaged patients, 19 left 30 healthy subjects on different tasks assessing magnitude estimation: symbolic non-symbolic numerical as well spatial (i.e., ...