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A calibration scale

Each of the images in Figure 1 shows a calibration scale immediately below the image of the surface. The calibration scale shows the color or shade of grayused to represent each elevation on the surface. The color or shade of the lowest elevation is shown on the left of the scale and the color or shade of thehighest elevation is shown on the right.

For example, the scale on the Grayscale image shows a smooth gradient from black to white going from left to right. The shade of gray shown at the midpointon the calibration scale represents the elevation that is halfway between the lowest elevation and the highest elevation.

Color Shift plot

The image in the center in Figure 1 shows the same surface plotted using a smooth gradient from blue at the low end through aqua, green, and yellow to redat the high end. In addition, this plotting format sets the lowest elevation to black and the highest elevation to white so that these two elevations areobvious in the plot.

(The highest elevation was indicated by a small white square at the center in the original program output, and the lowest elevations wereindicated by the black areas near the corners. However, the small white square seems to have faded away in the published version of this plot.)

More information is conveyed

This plotting format can convey a great deal more information to a human observer than the Grayscale plotting format. This is because the human eye candiscern more different colors than it can discern different shades of gray.

(Many years ago, when I was in the SONAR business, the general rule of thumb was that a typical human can discern only about seven shades ofgray from black to white inclusive. Obviously a typical human can discern more than seven different colors.)

The lowest elevations are obvious in the color shift plot

By using black to indicate the lowest elevation, (in addition to using shades of blue to indicate low elevations) , it is easy to determine the exact locations of the lowest elevations in the Color Shift plot in the centerof Figure 1 . On the other hand, the locations of the lowest elevations are not discernable in the Grayscale plot at the left Figure 1 .

Four minor peaks are obvious in the color shift plot

Also, it is obvious from the Color Shift plot that the surface has four minor peaks at the edges of the plot. Although the Grayscale plot has a slight hint ofthose minor peaks, they are certainly not obvious.

By comparing the color at the top of the minor peaks to the color scale below the Color Shift surface, it is possible to estimate that the elevation of theminor peaks is probably somewhere between twenty-five and fifty percent of the elevation of the main central peak. It is clearly impossible to glean that kindof information from the Grayscale plot of the same surface.

The highest elevation is obvious in the color shift plot

Although no longer true in this reproduction of the original computer output, by using white to indicate the highest elevation (in addition to using shades of red to indicate high elevations) , it is easy to determine the exact location of the highest elevation in the Color Shift plot. As explainedearlier, the highest elevation was indicated by a small white square, which was on the cross hairs at the center of the original plot.

Questions & Answers

Ayele, K., 2003. Introductory Economics, 3rd ed., Addis Ababa.
Widad Reply
can you send the book attached ?
Ariel
?
Ariel
What is economics
Widad Reply
the study of how humans make choices under conditions of scarcity
AI-Robot
U(x,y) = (x×y)1/2 find mu of x for y
Desalegn Reply
U(x,y) = (x×y)1/2 find mu of x for y
Desalegn
what is ecnomics
Jan Reply
this is the study of how the society manages it's scarce resources
Belonwu
what is macroeconomic
John Reply
macroeconomic is the branch of economics which studies actions, scale, activities and behaviour of the aggregate economy as a whole.
husaini
etc
husaini
difference between firm and industry
husaini Reply
what's the difference between a firm and an industry
Abdul
firm is the unit which transform inputs to output where as industry contain combination of firms with similar production 😅😅
Abdulraufu
Suppose the demand function that a firm faces shifted from Qd  120 3P to Qd  90  3P and the supply function has shifted from QS  20  2P to QS 10  2P . a) Find the effect of this change on price and quantity. b) Which of the changes in demand and supply is higher?
Toofiq Reply
explain standard reason why economic is a science
innocent Reply
factors influencing supply
Petrus Reply
what is economic.
Milan Reply
scares means__________________ends resources. unlimited
Jan
economics is a science that studies human behaviour as a relationship b/w ends and scares means which have alternative uses
Jan
calculate the profit maximizing for demand and supply
Zarshad Reply
Why qualify 28 supplies
Milan
what are explicit costs
Nomsa Reply
out-of-pocket costs for a firm, for example, payments for wages and salaries, rent, or materials
AI-Robot
concepts of supply in microeconomics
David Reply
economic overview notes
Amahle Reply
identify a demand and a supply curve
Salome Reply
i don't know
Parul
there's a difference
Aryan
Demand curve shows that how supply and others conditions affect on demand of a particular thing and what percent demand increase whith increase of supply of goods
Israr
Hi Sir please how do u calculate Cross elastic demand and income elastic demand?
Abari
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Source:  OpenStax, Digital signal processing - dsp. OpenStax CNX. Jan 06, 2016 Download for free at https://legacy.cnx.org/content/col11642/1.38
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