Motion coding for dynamic meshes using intra-and inter-frame graph Fourier transforms

A method for decoding mesh data, comprising:

• receiving a bitstream of coded mesh data, including coded motion data representative of spatial displacements between corresponding vertices from respective meshes in a mesh sequence;
• and
• decoding the motion data from the bitstream, the motion data decoding comprises:
• decoding GFT coefficients representative of the motion data, and
• inverse transforming, based on a GFT, the decoded GFT coefficients to obtain decoded geometry data of vertices of meshes in the sequence.

An apparatus for encoding mesh data, comprising:

• at least one processor;
• and
• memory storing instructions that, when executed by the at least one processor, cause the apparatus to:
• receive a mesh sequence, including geometry data of vertices of meshes in the sequence, and
• code motion data into a bitstream of coded mesh data, the motion data represent spatial displacements between corresponding vertices from respective meshes in the sequence, the motion data coding comprises:
• transforming, based on a GFT, the geometry data to obtain GFT coefficients representative of the motion data, and
• coding the GFT coefficients into the bitstream.

An apparatus for decoding mesh data, comprising:

• at least one processor;
• and
• memory storing instructions that, when executed by the at least one processor, cause the apparatus to:
• receive a bitstream of coded mesh data, including coded motion data representative of spatial displacements between corresponding vertices from respective meshes in a mesh sequence, and
• decode the motion data from the bitstream, the motion data decoding comprises:
• decoding GFT coefficients representative of the motion data, and
• inverse transforming, based on a GFT, the decoded GFT coefficients to obtain decoded geometry data of vertices of meshes in the sequence.

A non-transitory computer-readable medium comprising instructions executable by at least one processor to perform a method for encoding mesh data, the method comprising:

• receiving a mesh sequence, including geometry data of vertices of meshes in the sequence;
• and
• coding motion data into a bitstream of coded mesh data, the motion data represent spatial displacements between corresponding vertices from respective meshes in the sequence, the motion data coding comprises:
• transforming, based on a GFT, the geometry data to obtain GFT coefficients representative of the motion data, and
• coding the GFT coefficients into the bitstream.

A non-transitory computer-readable medium comprising instructions executable by at least one processor to perform a method for decoding mesh data, the method comprising:

• receiving a bitstream of coded mesh data, including coded motion data representative of spatial displacements between corresponding vertices from respective meshes in a mesh sequence;
• and
• decoding the motion data from the bitstream, the motion data decoding comprises:
• decoding GFT coefficients representative of the motion data, and
• inverse transforming, based on a GFT, the decoded GFT coefficients to obtain decoded geometry data of vertices of meshes in the sequence.