Given the $44$ input image along with Box, Gaussian, and Laplacian filters provided, compute the

following:

Part $(1)$: Smoothing Filters

Apply a Box Filter on the given image.

Apply a Gaussian Filter on the given image.

Part $(2)$: Edge Detection

Implement Sobel Operator to detect edges in the given image.

a$.$ Apply Sobel kernels to compute the gradients in horizontal and vertical directions.

b$.$ Compute the gradient magnitude and direction.

Implement Prewitt Operator for edge detection.

a$.$ Similar to Sobel, compute gradients using Prewitt kernels.

b$.$ Calculate gradient magnitude and direction.