Fig. 1. 3D optical setup of nine-channel JTC

Fig. 2. Flow chart for phase optimization algorithm

Fig. 3. Captured image for compression of JPS in Fourier plane

Fig. 4. SDF images synthesized with 5 training images under different scaling sizes when initial angle is 0° and angle interval is 70°

Fig. 5. Schematic of joint images on the input plane

Fig. 6. Relationship among SPCP with rotation angles and number of channels (preferred phases are chosen based on L-PCM, the first channels are marked with red margins). (a) 3D histogram; (b) 2D unfold chart

Fig. 7. Correlation outputs without and with preferred phases. (a) Correlation output without preferred phase; (b) correlation output with public preferred phase (original background); (c) correlation output with public preferred phase (simple background)

Fig. 8. Relationship among SPCP with rotation angles and number of channels (preferred phases are chosen based on variation of position of correlation peak, the right ones are marked with dotted lines and solid margins). (a) 1st4th channels (scaling size is 0.8); (b) 5th～8th channels (scaling size is 1.0); (c) 9th channel (2D unfold chart, and scaling size is 0.6)

Fig. 9. Workflow of proposed distortion-invariant multiple channeled JTC

Fig. 10. Variation of position of correlation peak and correlation output at scaling size of 0.4. (a) Relationship between variation of pixel position of CPI with running times; (b) correlation output without preferred phase; (c) correlation output with public preferred phase

Fig. 11. Variation of position of correlation peak and correlation output at scaling size of 0.6. (a) Relationship between variation of pixel position of CPI and running times; (b) correlation output without preferred phase; (c) correlation output with public preferred phase

Fig. 12. Relationship among SPCP with rotation angles and number of channels (SDF synthesized with 7 training images and

Fig. 13. SPCP diagram and variation of position of correlation peak (SDF synthesized with 9 training images and scaling size of 1.0). (a) Relationship among SPCP with rotation angles and number of channels; (b) relationship between variation of pixel position of CPI with running times

Fig. 14. Variation of position of correlation peak with running times (SDF synthesized with 11 training images and scaling size of 1.0)

Fig. 15. Scene images with varied background. (a) Original background; (b) background with slight variation; (c) background with large variation; (d) complex background

Fig. 16. Relationship among SPCP with rotation angles and number of channels (background with slight variation, SDF synthesized with 5 training images, and scaling size of 1.0)

Fig. 17. Relationship among SPCP with rotation angles and number of channels (background with large variation, SDF synthesized with 5 training images, and scaling size of 1.0)

Fig. 18. Relationship among SPCP with rotation angles and number of channels (complex background with recalculated phases, SDF synthesized with 5 training images, and scaling size of 1.0)