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A common compactness measure is the isoperimetric quotient, the ratio of the area of the shape to the area of a circle (the most compact shape) having the same perimeter. In the plane , this is equivalent to the Polsby–Popper test .
Goldmann perimeter The Goldmann perimeter is a hollow white spherical bowl positioned a set distance in front of the patient. [3] An examiner presents a test light of variable size and intensity. The light may move towards the center from the perimeter (kinetic perimetry), or it may remain in one location (static perimetry).
The Polsby–Popper test is a mathematical compactness measure of a shape developed to quantify the degree of gerrymandering of political districts. The method was developed by lawyers Daniel D. Polsby and Robert Popper, [1] though it had earlier been introduced in the field of paleontology by E.P. Cox. [2] The method was chosen by Arizona's redistricting commission in 2000.
Learning effect: new patients improve as more tests are performed due to understanding of the test conditions. Consider the third test as the baseline result [23] Potential for artefacts (i.e. uncharacteristic vision loss) (fig. 6). Below is a list of possible artefacts and a representation of how they may appear.
Perimeter is the distance around a two dimensional shape, a measurement of the distance around something; the length of the boundary. A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.
Roundness = Perimeter 2 / 4 π × Area . This ratio will be 1 for a circle and greater than 1 for non-circular shapes. Another definition is the inverse of that: Roundness = 4 π × Area / Perimeter 2 , which is 1 for a perfect circle and goes down as far as 0 for highly non-circular shapes.
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