colour.kernel_linear

colour.kernel_linear(x: ArrayLike) → NDArrayFloat

Evaluate the linear kernel at specified samples.

The linear kernel is a triangular function that returns 1 when \(|x| < 0.5\) and 0 otherwise, providing a simple binary response based on the absolute value of the input.

Parameters:

x (ArrayLike) – Samples at which to evaluate the linear kernel.

Returns:

The linear kernel evaluated at specified samples, with values of 1 for \(|x| < 0.5\) and 0 otherwise.

Return type:

numpy.ndarray

References

[BB09]

Examples

>>> kernel_linear(np.linspace(0, 1, 10))
array([1.        , 0.8888888..., 0.7777777..., 0.6666666..., 0.5555555...,
       0.4444444..., 0.3333333..., 0.2222222..., 0.1111111..., 0.        ])