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What does the bilinear Interpolation do for gray-level assignment?(a) Assign gray level to the new pixel using its right neighbor(b) Assign gray level to the new pixel using its left neighbor(c) Assign gray level to the new pixel using its four nearest neighbors(d) Assign gray level to the new pixel using its eight nearest neighborsThe question was asked in homework.I would like to ask this question from Zooming and Shrinking Digital Images topic in portion Image Enhancement of Digital Image Processing

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The correct OPTION is (c) Assign gray level to the new pixel using its FOUR nearest neighbors

Best explanation: Bilinear INTERPOLATION uses the four nearest neighbors of the new pixel. Let (x’, y’) is the coordinates of a POINT in the zoomed IMAGE and the gray level assigned to the point is v(x, y’).

For bilinear interpolation, the assigned gray level is given by

 v(x’, y’) = ax’ + by’ + cx’y’ + d

Here, a, b, c and d are determined from the four equations in four unknowns that can be written using the four nearest neighbors of point (x’, y’).


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