To detect lines with another orientation, the long axis of the kernel must be parallel with the line. An exhaustive search for lines in an image would require applying a series of kernels rotated through 180 degrees, followed by an algorithm designed to search for the highest output values in the resulting images.

Chapter 14: Linear Operators The Laplacian Operator

The Laplacian operator detects any rapid changes in pixel values in an image, regardless of the orientation of the change. Technically, the Laplacian is the sum of the second partial derivatives translated into the spatially quantized realm of image processing.

The Laplacian operator:

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