tfg.math.spherical_harmonics.evaluate_legendre_polynomial
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Evaluates the Legendre polynomial of degree l and order m at x.
tfg.math.spherical_harmonics.evaluate_legendre_polynomial(
degree_l: TensorLike, order_m: TensorLike, x: TensorLike
) -> TensorLike
Note |
|---|
This function is implementing the algorithm described in p. 10 of Spherical
Harmonic Lighting: The Gritty Details.
|
Note |
|---|
|
In the following, A1 to An are optional batch dimensions.
|
Args |
|---|
degree_l
|
An integer tensor of shape [A1, ..., An] corresponding to the
degree of the associated Legendre polynomial. Note that degree_l must be
non-negative.
|
order_m
|
An integer tensor of shape [A1, ..., An] corresponding to the
order of the associated Legendre polynomial. Note that order_m must
satisfy 0 <= order_m <= l.
|
x
|
A tensor of shape [A1, ..., An] with values in [-1,1].
|
Returns |
|---|
A tensor of shape [A1, ..., An] containing the evaluation of the legendre
polynomial.
|
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Last updated 2022-10-28 UTC.
[null,null,["Last updated 2022-10-28 UTC."],[],[],null,["# tfg.math.spherical_harmonics.evaluate_legendre_polynomial\n\n\u003cbr /\u003e\n\n|---------------------------------------------------------------------------------------------------------------------------------------|\n| [View source on GitHub](https://github.com/tensorflow/graphics/blob/master/tensorflow_graphics/math/spherical_harmonics.py#L164-L209) |\n\nEvaluates the Legendre polynomial of degree l and order m at x. \n\n tfg.math.spherical_harmonics.evaluate_legendre_polynomial(\n degree_l: TensorLike, order_m: TensorLike, x: TensorLike\n ) -\u003e TensorLike\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n| Note ---- ||\n|---|---|\n| This function is implementing the algorithm described in p. 10 of `Spherical Harmonic Lighting: The Gritty Details`. ||\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n| Note ---- ||\n|---|---|\n| In the following, A1 to An are optional batch dimensions. ||\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n| Args ---- ||\n|------------|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|\n| `degree_l` | An integer tensor of shape `[A1, ..., An]` corresponding to the degree of the associated Legendre polynomial. Note that `degree_l` must be non-negative. |\n| `order_m` | An integer tensor of shape `[A1, ..., An]` corresponding to the order of the associated Legendre polynomial. Note that `order_m` must satisfy `0 \u003c= order_m \u003c= l`. |\n| `x` | A tensor of shape `[A1, ..., An]` with values in \\[-1,1\\]. |\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n| Returns ------- ||\n|---|---|\n| A tensor of shape `[A1, ..., An]` containing the evaluation of the legendre polynomial. ||\n\n\u003cbr /\u003e"]]
View source on GitHub