Method and device for encoding a set of coefficients, method and device for decoding a set of coefficients, associated data stream and computer program

A method for decoding a set of coefficients (Wk) participating in a representation of a digital hologram by being respectively associated with tuples, each of the tuples comprising a first spatial parameter, a second spatial parameter, a first frequency parameter and a second frequency parameter,

• the method comprising, for at least one pair of respective values of the first frequency parameter and the second frequency parameter:
• decoding position data indicative of positions that are associated, respectively, with non-zero coefficients from a set of positions associated, in a predefined manner, with the coefficients that are associated, respectively, with the different tuples comprising said pair of values of the first frequency parameter and the second frequency parameter;
• decoding the coefficients that are associated, respectively, with the positions indicated by said position data.

A device for encoding a set of coefficients (Wk) participating in a representation of a digital hologram by being respectively associated with tuples, each of the tuples comprising a first spatial parameter, a second spatial parameter, a first frequency parameter and a second frequency parameter, comprising:

• a first encoding module configured to encode, for at least one pair of respective values of the first frequency parameter and the second frequency parameter, position data indicative of positions that are associated, respectively, with non-zero coefficients from a set of positions associated, in a predefined manner, with the coefficients that are associated, respectively, with the different tuples defined by said pair of values of the first frequency parameter and the second frequency parameter;
• a second encoding module configured to encode the coefficients that are associated, respectively, with the positions indicated by said position data.

A device for decoding a set of coefficients (Wk) participating in a representation of a digital hologram by being respectively associated with tuples, each of the tuples comprising a first spatial parameter, a second spatial parameter, a first frequency parameter and a second frequency parameter, comprising:

• a first decoding module configured to decode, for at least one pair of respective values of the first frequency parameter and the second frequency parameter, position data indicative of positions that are associated, respectively, with non-zero coefficients from a set of positions associated, in a predefined manner, with the coefficients that are associated, respectively, with the different tuples comprising said pair of values of the first frequency parameter and the second frequency parameter;
• a second decoding module configured to decode the coefficients that are associated, respectively, with the positions indicated by said position data.

A data stream representing a set of coefficients (Wk) participating in a representation of a digital hologram by being respectively associated with tuples, each of the tuples comprising a first spatial parameter, a second spatial parameter, a first frequency parameter and a second frequency parameter, the data stream comprising, for at least one pair of respective values of the first frequency parameter and the second frequency parameter:

• position data indicative of positions that are associated, respectively, with non-zero coefficients from a set of positions associated, in a predefined manner, with the coefficients that are associated, respectively, with the different tuples defined by said pair of values of the first frequency parameter and the second frequency parameter;
• data representative of the coefficients that are associated, respectively, with the positions indicated by said position data.