Method to generate for global displacement transformation in mesh compression

A method of encoding a mesh, comprising:

• generating a bitstream that comprises a portion of the mesh,
• wherein a symmetry plane is determined that divides the mesh into a first side and a second side opposite the first side, the mesh comprising a plurality of vertices, the first side comprising a first set of vertices, the second side comprising a second set of vertices,
• wherein, for each vertex in the first set, a predicted vertex on the second side that is symmetric to a corresponding vertex in the first set is determined,
• wherein a transformation function is determined, from a plurality of transformation functions, that transforms each predicted vertex on the second side, the transformation function determined in accordance with a loss function;
• wherein the transformation function that transforms each predicted vertex on the second side is applied,
• wherein a displacement vector between each transformed predicted vertex and a corresponding vertex in the second set is determined, wherein the transformation function minimizes a number of bits for encoding each displacement vector, and
• wherein the portion of the mesh in the bitstream comprises each vertex in the first set and each displacement vector.

A method decoding an encoded mesh, comprising:

• receiving a bitstream comprising the encoded mesh,
• wherein the mesh is divided by a symmetry plane that divides the mesh into a first side and a second side opposite the first side, the mesh comprising a plurality of vertices, the first side comprising a first set of vertices, the second side comprising a second set of vertices,
• wherein, for each vertex in the first set, a predicted vertex on the second side that is symmetric to a corresponding vertex in the first set is determined,
• wherein a transformation function is determined, from a plurality of transformation functions, that transforms each predicted vertex on the second side, the transformation function determined in accordance with a loss function,
• wherein the transformation function that transforms each predicted vertex on the second side is applied,
• wherein a displacement vector between each transformed predicted vertex and a corresponding vertex in the second set is determined, wherein the transformation function minimizes a number of bits for encoding each displacement vector, and
• wherein the bitstream comprises each encoded vertex in the first set and each displacement vector.