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How can you combine Sobel filters along both axes to get the overall edge magnitude?

hard📝 Application Q9 of 15
SciPy - Image Processing (scipy.ndimage)
How can you combine Sobel filters along both axes to get the overall edge magnitude?
AMultiply sobel_x and sobel_y
BCalculate sqrt(sobel_x**2 + sobel_y**2)
CAdd sobel_x and sobel_y directly
DSubtract sobel_y from sobel_x
Step-by-Step Solution
Solution:
  1. Step 1: Understand Sobel outputs

    Sobel filter along x and y axes gives gradients in each direction.
  2. Step 2: Compute combined edge magnitude

    Use Pythagorean theorem: sqrt(sobel_x^2 + sobel_y^2) to get overall edge strength.
  3. Final Answer:

    Calculate sqrt(sobel_x**2 + sobel_y**2) -> Option B
  4. Quick Check:

    Edge magnitude = sqrt(x^2 + y^2) [OK]
Quick Trick: Combine gradients with sqrt(x² + y²) for edge magnitude [OK]
Common Mistakes:
  • Adding or subtracting gradients directly
  • Multiplying gradients instead of combining magnitude
  • Ignoring direction when combining

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