Fig. 1. Obtainment of fringe order

Fig. 2. Principle of conventional Gray-code plus phase-shifting approach

Fig. 3. Principle of using to unwrap ( denotes the actual absolute phase, while denotes the recovered absolute phase)

Fig. 4. Patterns of enhanced GC approach. (a)-(c) Phase-shifting dithered patterns; (d)-(f) GC patterns with M cycles

Fig. 5. Cross sections of wrapped phase , cyclic fringe order

Fig. 6. Fundamental idea of employing for unwrapping

Fig. 7. Images of the sphere. (a) Sinusoidal fringe pattern; (b) GC pattern; (c) Wrapped phase map; (d) Fringe order map; (e) Pseudo unwrapped phase map; (f) Minimum phase map; (g) Unwrapped phase map; (h) Absolute phase map

Fig. 8. Reconstructed 3D shapes of a sphere. (a) Conventional geometric constraint method; (b) Proposed method; (c) Cross-sections of (a) and (b)

Fig. 9. Reconstructed 3D shapes of the Doraemon sculpture. (a) Conventional GC method using three sinusoidal fringe patterns with T=114 pixels and three GC patterns; (b) Conventional GC method using three sinusoidal fringe patterns with T=21 pixels and six GC patterns; (c) Proposed method using three sinusoidal fringe patterns with T=21 pixels and three GC patterns; (d)-(f) Cross-sections of (a)-(c)

Fig. 10. Reconstructed 3D shape of two isolated sculptures