Image Transformations and Logarithmic Functions

In this lecture, Anushri explains logarithmic and power law transformations. The logarithmic transformation formula is introduced, followed by a detailed calculation using specific pixel values. The lecture then covers power law transformation, providing the formula and demonstrating calculations with given constants. The session emphasizes understanding these transformations for image processing.

What are the two main transformations discussed in this lecture?

• Logarithmic and Exponential

• Exponential and Linear

• Logarithmic and Power Law

• Power Law and Linear

In the logarithmic transformation formula, what does 's' represent?

• Input image pixel values

• Constant value

• Output image pixel values

• Logarithm base

What is assumed about the pixel values 'r' in the logarithmic transformation?

• r is a negative value

• r is equal to 0

• r is greater than or equal to 0

• r is less than 0

How is the greatest pixel value represented in terms of powers of 2?

• As 2 raised to the power of 5

• As 2 raised to the power of 6

• As 2 raised to the power of 7

• As 2 raised to the power of 8

What is the value of 'l' when the greatest pixel value is 120?

• 128

• 120

• 256

• 64

What is the formula for calculating 'n' in terms of 'l'?

• l = 2 raised to n

• n = l raised to 2

• l = n raised to 2

• n = 2 raised to l

When c = 1, what is the logarithmic transformation formula simplified to?

• s = log(r)

• s = r log(1 + r)

• s = c log(r)

• s = log(1 + r)

What is the rounded value of log(111) when c = 1?

• 1

• 2

• 3

• 4

What is the output image value for a pixel value of 120 when c = 1?

• 3

• 2

• 4

• 1

What is the value of c when it is calculated as l / log10(1 + l)?

• 63

• 60.66

• 62

• 61