Which statement is false about interpolation-based spatial transformations? a. I
ID: 3680796 • Letter: W
Question
Which statement is false about interpolation-based spatial transformations?
a. If we view interpolation as a local fitting of a polynomial function between two data points, Nearest Neighbor interpolation equates with fitting a piecewise-constant function through data points, while Linear interpolation equates with fitting a piecewise-linear function through data points.
b. If we view interpolation as a local fitting of basis functions with compact representation, linear interpolation equates with the application of a triangularly shaped basis function with a peak at the central data point i and null values at data points i-1 and i+1.
c. The 1D linear interpolation method cannot be extended to 2D.
d. The 1D linear interpolation method cannot be extended to 3D.
e. Statements c and d are both false.
Explanation / Answer
If we view interpolation as a local fitting of a polynomial function between two data points, Nearest Neighbor interpolation equates with fitting a piecewise-constant function through data points, while Linear interpolation equates with fitting a piecewise-linear function through data points.
It is the false of about interpolation-based spatial transformations
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