The relationship between physical and perceptual quantities

AI Thread Summary
The discussion focuses on the relationship between physical and perceptual quantities, particularly in how perceived size and distance of objects can remain constant despite changes in their actual size or distance. The two dashed lines in the "Size of an object" figure represent critical thresholds where perception shifts from stable to linear increases in perceived size and distance. It is noted that estimation difficulties arise because perceived size is influenced by distance; objects appear larger when perceived as farther away. Additionally, there is ambiguity in defining size, whether in terms of linear dimensions, area, or volume. The moon serves as an extreme example, illustrating how its perceived size can vary significantly based on distance.
nao113
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Homework Statement
Imagine and draw a figure to show the relationship between physical and perceptual quantities below as shown in fig.1 with some explanations.
a) Physical and perceptual size of an object
b) Physical and perceptual distance to an object
c) Wavelength of light and color perception (What kind of perceptual quality should be the vertical axis?)
Relevant Equations
In the pictures below
Screen Shot 2022-06-20 at 10.16.00.png

Screen Shot 2022-06-20 at 10.15.31.png


Answer:
WhatsApp Image 2022-06-20 at 11.08.24 AM.jpeg

Did I draw them right?
 
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You are asked to provide explanations. Where are they? Specifically, what do the two dashed lines represent in the "Size of an object" figure? You also have to explain the other general features such as why the perceived size or distance do not change as the physical size or distance increase and then all of a sudden there is a linear increase to both of them.
 
There are a couple of difficulties wrt estimating the distance to and size of an object.
1. The two are related; the further away you think it is the larger it will appear to be.
2. for size, are we talking linear dimension, area or volume?

wrt your attempt, consider some extreme examples. How large and far away does the moon look?
 
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