Texture Mapping with Bilinear Filtering

Write a C program that samples a small texture using nearest-neighbor and bilinear filtering.

Requirements:

• Define a 4x4 texture as a 2D array of RGB values. Use a simple gradient: Row 0: black, dark red, red, bright red Row 1: dark green, olive, orange, yellow Row 2: green, lime, cyan, white Row 3: dark blue, purple, magenta, pink
• Implement nearest-neighbor sampling: round(u*(width-1)), round(v*(height-1))
• Implement bilinear sampling: interpolate between the 4 nearest texels as described in the topic
• Sample at these texture coordinates: (0.0, 0.0), (0.5, 0.5), (0.25, 0.75), (0.8, 0.2), (0.33, 0.66)
• For each sample point, print both the nearest-neighbor color and the bilinear color
• Print the four texels used for bilinear interpolation at (0.5, 0.5)
• Show the interpolation weights (fx, fy) for each sample
• Include a note about why bilinear filtering is preferred for magnification