Module: tfg.math.interpolation.slerp
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Tensorflow.graphics slerp interpolation module.
Spherical linear interpolation (slerp) is defined for both quaternions and for
regular M-D vectors, and act slightly differently because of inherent
ambiguity of quaternions. This module has two functions returning the
interpolation weights for quaternions (quaternion_weights) and for vectors
(vector_weights), which can then be used in a weighted sum to calculate the
final interpolated quaternions and vectors. A helper interpolate function is
also provided.
The main differences between two methods are:
vector_weights:
can get any M-D tensor as input,
does not expect normalized vectors as input,
returns unnormalized outputs (in general) for unnormalized inputs.
quaternion_weights:
expects M-D tensors with a last dimension of 4,
assumes normalized input,
checks for ambiguity by looking at the angle between quaternions,
returns normalized quaternions naturally.
Classes
class InterpolationType: Defines interpolation methods for slerp module.
Functions
interpolate(...): Applies slerp to vectors or quaternions.
interpolate_with_weights(...): Interpolates vectors by taking their weighted sum.
quaternion_weights(...): Calculates slerp weights for two normalized quaternions.
vector_weights(...): Spherical linear interpolation (slerp) between two unnormalized vectors.
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Last updated 2020-09-11 UTC.
[[["Easy to understand","easyToUnderstand","thumb-up"],["Solved my problem","solvedMyProblem","thumb-up"],["Other","otherUp","thumb-up"]],[["Missing the information I need","missingTheInformationINeed","thumb-down"],["Too complicated / too many steps","tooComplicatedTooManySteps","thumb-down"],["Out of date","outOfDate","thumb-down"],["Samples / code issue","samplesCodeIssue","thumb-down"],["Other","otherDown","thumb-down"]],["Last updated 2020-09-11 UTC."],[],[],null,["# Module: tfg.math.interpolation.slerp\n\n\u003cbr /\u003e\n\n|-----------------------------------------------------------------------------------------------------------------------------|\n| [View source on GitHub](https://github.com/tensorflow/graphics/blob/master/tensorflow_graphics/math/interpolation/slerp.py) |\n\nTensorflow.graphics slerp interpolation module.\n\nSpherical linear interpolation (slerp) is defined for both quaternions and for\nregular M-D vectors, and act slightly differently because of inherent\nambiguity of quaternions. This module has two functions returning the\ninterpolation weights for quaternions (quaternion_weights) and for vectors\n(vector_weights), which can then be used in a weighted sum to calculate the\nfinal interpolated quaternions and vectors. A helper interpolate function is\nalso provided.\n\nThe main differences between two methods are:\nvector_weights:\ncan get any M-D tensor as input,\ndoes not expect normalized vectors as input,\nreturns unnormalized outputs (in general) for unnormalized inputs.\n\nquaternion_weights:\nexpects M-D tensors with a last dimension of 4,\nassumes normalized input,\nchecks for ambiguity by looking at the angle between quaternions,\nreturns normalized quaternions naturally.\n\nClasses\n-------\n\n[`class InterpolationType`](../../../tfg/math/interpolation/slerp/InterpolationType): Defines interpolation methods for slerp module.\n\nFunctions\n---------\n\n[`interpolate(...)`](../../../tfg/math/interpolation/slerp/interpolate): Applies slerp to vectors or quaternions.\n\n[`interpolate_with_weights(...)`](../../../tfg/math/interpolation/slerp/interpolate_with_weights): Interpolates vectors by taking their weighted sum.\n\n[`quaternion_weights(...)`](../../../tfg/math/interpolation/slerp/quaternion_weights): Calculates slerp weights for two normalized quaternions.\n\n[`vector_weights(...)`](../../../tfg/math/interpolation/slerp/vector_weights): Spherical linear interpolation (slerp) between two unnormalized vectors."]]
View source on GitHub