Question

1. The term, Curvature is defined as:

a.Rate of change of area

b.Rate of change of slope

c.Slope

d.Rate of change of diameter



2. Which of the following techniques of boundary descriptions have the physical interpretation of boundary shape?
CO5
K1

a.Fourier transform

b.Statistical moments

c.Laplace transform

d.Curvature​

Answer 1

Answer:

1. The correct option is b. Rate of change of slope.
2. The correct option is b. Statistical moments.

Explanation:

1. The term curvature is defined as the rate of change of slope. The curvature of any boundary can be explained as the rate of change of slope. Generally, boundaries possess irregular/uneven edges, surfaces or outlines, so it is difficult to calculate reliable measures of curvature at any point on a digital boundary.
2. Compared to other techniques, statistical moments have advantages. It helps in physical analysis or interpretation of the shape of the boundary. Statistical moments are the parameters explaining area, mean residence time, variance of residence time etc.

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