scholarly journals Spatial decay of achromatic color induction differs for lightness and darkness induction processes

2010 ◽  
Vol 3 (9) ◽  
pp. 421-421 ◽  
Author(s):  
I. K Zemach ◽  
M. E. Rudd
Keyword(s):  
Achromatic Color ◽  
Spatial Decay ◽  
Color Induction

Explanation for Neon Color Effect in Achromatic Line Segments on Chromatic Inducers Based on the Multiple Interpretation Hypothesis

2005 ◽  
Vol 101 (1) ◽  
pp. 267-282
Author(s):  
Seiyu Sohmiya
Keyword(s):  
Visual System ◽  
Line Segment ◽  
Color Contrast ◽  
Achromatic Color ◽  
Line Segments ◽  
Color Effect ◽  
Complementary Color ◽  
Multiple Interpretation ◽  
Color Induction ◽  
Simultaneous Color Contrast

In van Tuijl's neon configurations, an achromatic line segment on a blue inducer produces yellowish illusory color in the illusory area. This illusion has been explained based on the idea of the complementary color induced by the blue inducer. However, it is proposed here that this illusion can be also explained by introducing the assumption that the visual system unconsciously interprets an achromatic color as information that is constituted by transparent and nontransparent colors. If this explanation is correct, not only this illusion, but also the simultaneous color contrast illusion can be explained without using the idea of the complementary color induction.

scholarly journals The Munker–White Effect and Chromatic Induction Share Similar Nonlinear Response Properties

2010 ◽  
Vol 23 (3) ◽  
pp. 223-240
Author(s):  
Chien-Chung Chen ◽  
Sarina Hui-Lin Chien ◽  
Yong-Jun Lin
Keyword(s):  
Visual Field ◽  
Power Function ◽  
Nonlinear Response ◽  
Spatial Configuration ◽  
Lateral Interaction ◽  
Test Patch ◽  
Response Properties ◽  
Modulation Model ◽  
Bull's Eye ◽  
Color Induction

AbstractThe brightness or color appearance of a region may be altered by the presence of a pattern surrounding it in the visual field. The Munker–White effect (grating surround) and brightness or color induction from concentric annuli ('bull's-eye' surround) are two examples. We examined whether these two phenomena share similar properties. In the asymmetric matching experiment, the task of an observer was to adjust the appearance of a matching patch to match the appearance of a test patch embedded in one of the two types (square wave grating or concentric annuli) of inducing surrounds (inducers). The inducer modulated in one of three color directions (isochromatic: ±(L + M + S) and isoluminance: ±(L – M) or ±S). Each inducer type and color direction had two opposing phases and four contrast levels. The results show that the induced appearance shift increases as a power function of the inducer contrast, regardless of the spatial configuration of the inducer. Further analysis showed that a sensitivity modulation model of lateral interaction could explain both induction effects.

Spatial Decay Estimates for a Class of Thermoelastic Plates

2021 ◽  
Vol 42 (0) ◽  
pp. 1-9
Author(s):  
SHI Jincheng ◽  
◽  
◽  
XIAO Shengzhong ◽  
◽  
...  
Keyword(s):  
Decay Estimates ◽  
Spatial Decay ◽  
Thermoelastic Plates

Peierls’ substitution via minimal coupling and magnetic pseudo-differential calculus

2019 ◽  
Vol 31 (03) ◽  
pp. 1950008
Author(s):  
Horia D. Cornean ◽  
Viorel Iftimie ◽  
Radu Purice
Keyword(s):  
Magnetic Field ◽  
Differential Calculus ◽  
Spectral Band ◽  
Spatial Decay ◽  
Minimal Coupling ◽  
Field Perturbation ◽  
Wannier Functions ◽  
Weak Magnetic Fields ◽  
The Magnetic Field ◽  
Magnetic Field Perturbation

We revisit the celebrated Peierls–Onsager substitution for weak magnetic fields with no spatial decay conditions. We assume that the non-magnetic [Formula: see text]-periodic Hamiltonian has an isolated spectral band whose Riesz projection has a range which admits a basis generated by [Formula: see text] exponentially localized composite Wannier functions. Then we show that the effective magnetic band Hamiltonian is unitarily equivalent to a Hofstadter-like magnetic matrix living in [Formula: see text]. In addition, if the magnetic field perturbation is slowly variable in space, then the perturbed spectral island is close (in the Hausdorff distance) to the spectrum of a Weyl quantized minimally coupled symbol. This symbol only depends on [Formula: see text] and is [Formula: see text]-periodic; if [Formula: see text], the symbol equals the Bloch eigenvalue itself. In particular, this rigorously formulates a result from 1951 by J. M. Luttinger.

Maximizing spatial decay of evanescent waves in phononic crystals by topology optimization

2017 ◽  
Vol 182 ◽  
pp. 430-447 ◽  
Author(s):  
Yafeng Chen ◽  
Xiaodong Huang ◽  
Guangyong Sun ◽  
Xiaolei Yan ◽  
Guangyao Li
Keyword(s):  
Topology Optimization ◽  
Evanescent Waves ◽  
Phononic Crystals ◽  
Spatial Decay
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