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Added references on rotation invariance and filters.
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@@ -36,11 +36,17 @@ plt.tight_layout()
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Different operators compute different finite-difference approximations of the
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gradient. For example, the Scharr filter results in a better rotational
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variance than other filters such as the Sobel filter. The difference between
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the two filters is illustrated below on an image that is the discretization of
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a rotation-invariant continuous function. The discrepancy between the two
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filters is stronger for regions of the image where the direction of the
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gradient is close to diagonals, and for regions with high spatial frequencies.
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variance than other filters such as the Sobel filter [1]_ [2]_. The difference
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between the two filters is illustrated below on an image that is the
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discretization of a rotation-invariant continuous function. The discrepancy
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between the two filters is stronger for regions of the image where the
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direction of the gradient is close to diagonal, and for regions with high
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spatial frequencies.
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.. [1] http://en.wikipedia.org/wiki/Sobel_operator#Alternative_operators
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.. [2] B. Jaehne, H. Scharr, and S. Koerkel. Principles of filter design. In
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Handbook of Computer Vision and Applications. Academic Press, 1999.
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"""
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x, y = np.ogrid[:100, :100]
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