Methods and apparatuses for encoding and decoding a point cloud

An apparatus, comprising one or more processors, wherein said one or more processors is operable to:

• provide one or more attributes of a point cloud to an input of an invertible neural network,
• implement the invertible neural network comprising at least one invertible block that includes at least one voxel shuffling layer that arranges spatial location of voxels of the point cloud into channel locations, at least one 1×1 sparse convolution layer that performs a 1×1 sparse convolution on an output of at least one voxel shuffling layer, and at least one coupling layer that performs 3D sparse convolutions on an output of at least one 1×1 sparse convolution layer, and
• obtain coded data representative of the one or more attributes of the point cloud from an output of the invertible neural network.

An apparatus, comprising one or more processors, wherein said one or more processors is operable to:

• provide coded data representative of one or more attributes of a point cloud to an input of an invertible neural network,
• implement the invertible neural network comprising at least one invertible block that includes at least one coupling layer that performs 3D sparse convolutions on the coded data, at least one 1×1 sparse convolution layer that performs a 1×1 sparse convolution on an output of the at least one coupling layer and at least one voxel shuffling layer that arranges channel locations of an output of the at least one 1×1 sparse convolution layer into spatial location of voxels of the point cloud, and
• obtain the one or more attributes of the point cloud from an output of the invertible neural network.

(canceled)

(canceled)

14-16. (canceled)

(canceled)

21-22. (canceled)

(canceled)