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Above, `J_p2_wrt_R` is the 3x3 Jacobian of `p2 = R * p1` with respect to small changes in `R`. `wave_geometry` computes *local Jacobians*, which are independent of the choice of parametrization for `R` (e.g., rotation matrix or quaternion), and are useful for on-manifold parametrization.
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Above, `J_p2_wrt_R` is the 3x3 Jacobian of `p2 = R * p1` with respect to small changes in `R`. `wave_geometry` computes *local Jacobians*, which are independent of the choice of parametrization for `R` (e.g., rotation matrix or quaternion), and are useful for on-manifold optimization.
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It is possible (and more efficient) to combine evaluation and multiple Jacobian calculations:
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