Problem 4: In the original image used to generate the three blurred images shown, the vertical bars are 5 pixels wide, 100 pixels high, and their separation is 20 pixels. The image was blurred using square box kernels of sizes (a) 23, (b) 25, and (c) 45 elements on the side. The vertical bars on the left, lower part of (a) and (c) are blurred, but a clear separation exists between them. However, the bars have merged in image (b), even though the kernel used to generate this image is much smaller than the kernel that produced image (c). Explain the reason for this.
(a)
(b)
(c)