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Fixed ray differentials for analytical sphere #764

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@mariasoroka mariasoroka commented Jun 2, 2023

Description

Fixes ray differentials for the analytical sphere shape.

For a point $p = \begin{pmatrix} x \\ y \\ z \end{pmatrix} = \begin{pmatrix} r \cos(2\pi u) \\ r\sin(2\pi u) \\1 - 2v \end{pmatrix}$ the differential $\frac{dp}{dv}$ should be equal to $2 \begin{pmatrix} \cos(2\pi u) \frac{z}{r}\\ \sin(2\pi u) \frac{z}{r} \\ -1 \end{pmatrix}$.

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