2.1 Hologram recording setup. BS, beam splitter. 4

2.2 Hologram reconstruction. 5

2.3 Coordinate geometry of hologram reconstruction. 5

2.4 Coordinate system of wave propagation. 14

2.5 Geometry of wave-oriented methods with tilted object surface. 15

2.6 Example of reconstructed object with zero-order image. 17

2.7 Setup for phase-shifting digital holography: PZT, piezoelectric transducer mirror. 18

3.1 Generic compression scheme. 20

3.2 Quantization process: Q represents the encoding or quantization stage and Q⁻¹ represents the decoding or inverse quantization stage. 20

3.3 Zerotree or spatial-orientation tree. 22

3.4 Schematic block diagram of JPEG 2000. 23

4.1 Test objects: “Luigi,” “Girl,” and “Bunny.” 29

4.2 Example of shifted distance representation D⁽¹⁾ and D⁽²⁾. 29

4.3 Example of real-imaginary representation. 30

4.4 Example of amplitude-phase representation. 31

4.5 Probability distribution of different representations. 32

4.6 Figure corresponding to Table 4.1. 34

4.7 Figure corresponding to Table 4.2. 35

4.8 Figure corresponding to Table 4.3. 35

4.9 Reconstructed images at bit levels of 2, 3, and 4 from amplitude-phase information (left column) and shifted distance information (right column) of “Luigi” object. 38

5.1 Digital holographic communication system components. 40

5.2 Generic lifting structure. 50

5.3 Principle of the VLS decomposition. 52

5.4 Rate-distortion performance of three different hologram compression schemes: independent, standard, and VLS, applied on D⁽¹⁾ and D⁽²⁾, for the objects: (a) “Bunny-1,” (b) “Bunny-2,” and (c) “Girl.” 56

5.5 Proposed NS-VLS decomposition structure. 57

5.6 Rate-distortion performance of four different hologram compression schemes: independent, standard, separable VLS, and NS-VLS, applied on D⁽¹⁾ and D⁽²⁾, for the objects: (a) “Luigi-1,” (b) “Luigi-2,” (c) “Bunny-1,” (d) “Bunny-2,” (e) “Girl,” and (f) “Teapot.” 62

5.7 Rate-distortion performance of NS-VLS with different prediction filter lengths for the objects: (a) “Luigi-1,” (b) “Luigi-2,” (c) “Bunny-1,” (d) “Bunny-2,” (e) “Girl,” and (f ) “Teapot.” 63

5.8 JPEG 2000 architecture extended with an arbitrary packet decomposition and direction-adaptive discrete wavelet transform. 65