208.

[Cover] [Abbreviated Contents] [Contents] [Index]

Page 6
1.1.2—
The Sizes of the Features of Non-Fractal and Fractal Objects
1—
Non-Fractal
The size of the smallest feature of a non-fractal object is called its characteristic scale.
When we measure the length, area, and volume at a resolution that is finer than the characteristic scale, then all of the features of the object are included. Thus the measurements at this resolution determine the correct values of the length, area, and volume.
2—
Fractal
A fractal object has features over a broad range of sizes.
As we measure the length, area, and volume at ever finer resolution, we include ever more of its finer features. Thus the length, area, and volume depend on the resolution used to make the measurement.

 
[Cover] [Abbreviated Contents] [Contents] [Index]


Fractals and Chaos Simplified for the Life Sciences
Fractals and Chaos Simplified for the Life Sciences
ISBN: 0195120248
EAN: 2147483647
Year: 2005
Pages: 261

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