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Digital Image Processing Week 4 : Assignment 4 Solution

 



Answer:- 

Answer:-

In what type of Interpolation, the region of support is 1 pixel?

a) Bicubic interpolation
b) Constant interpolation
c) Cubic interpolation
d) Bilinear interpolation

Why is Interpolation having order higher than Cubic interpolation not used?

a) Boundary pixels don't get accurately interpolated since their support from one side is missing
b) Calculating higher order B-Splines is computationally expensive
c) Using higher order B-Splines negates the principle that interpolation should use only local pixels 
d) All of the above




Answer :- 

The correct reason for Quadratic Interpolation not having any symmetry is?

a) Quadratic interpolation has region of support of 3 points
b) Quadratic B-Splines are asymmetric from the center of support 
c) Quadratic B-Splines are asymmetric with respect to its control points 
d) Both a and c

This question has Statement 1 and Statement 2. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement 1: an interpolation function must have Finite Region of Support.
Statement 2: an interpolation function should have Smooth Interpolation.

a) Statement 1 is True and Statement 2 is False
b) Statement 1 is False and Statement 2 is True
c) Statement 1 is True and Statement 2 is True
d) Statement 1 is False and Statement 2 is False

Which of the following dramatically reduces computation complexity of interpolation with B- spline functions?

a) Higher order B-Spline functions can be computed from lower order B-Spline functions through recursion
b) Interpolation function are shift Invariant
c) Interpolation function have local region of support 
d) All of above.

What kind of sampling is required for scaling down (Shrinking) of an image?

a) Under sampling
b) Critical sampling
c) Over sampling
d) Nyquist sampling

The correct reason for modifying B-Spline function ( B₁₁(t) to Bi-0.5,1(t) for constant B - - Spline, B2(t) to Bi-1,2(t) for linear B - Spline, B4(t) to Bi-2,4(t) for Cubic B- Spline) for interpolation is:

a) To make them shift invariant
b) To remove the bias of considering left pixel contribution in interpolation
c) To estimate higher order B-Spline function from lower order B-Splines
 d) All of the above

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