Algorithms – K-closest along the beam in a large point cloud

Are there known data structures that can process the following (it must be checked whether something is possible):

  1. Return the k-nearest points to a ray shot through the cloud.

  2. Allows quick updating of point positions (basically every point is shifted every 500,000 queries, at which point approximately 500,000 old points are removed and the same number is added).

In this case, the number of points in the cloud is approximately 3.5 million. The application is in 3D graphics.

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