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(ParticleFieldKernelGaussianEllipsoidAPI)=

ParticleFieldKernelGaussianEllipsoidAPI

Defines the Gaussian ellipsoid kernel for a ParticleField.

An un-transformed kernel (i.e. identity position, scale, rotation, opacity) will define opacity at point 'p' by g(u=0;o=1;x = p.length()). Note that since the standard deviation is 1, the 3-sigma point is 3.0 and 99.7% of the splat support is within a spherical region of radius 3.

Per-splat opacity is multiplicative with the Gaussian falloff; rotation and scale will transform the Gaussian sphere kernel into an ellipsoid; and position moves the per-splat peak falloff from the origin.

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