3D imaging method based on binary encoded fringes with complementary symmetric error diffusion paths.

Area of Science:

• Optics and Photonics
• Computer Vision
• Metrology

Background:

• Digital micromirror device (DMD) projectors enable dynamic 3D imaging via binary fringe projection.
• Floyd-Steinberg (FS) dithering is a common method for high-accuracy measurements but introduces phase errors.
• Phase errors in FS dithering correlate with the error diffusion path selection.

Purpose of the Study:

• To develop an accurate 3D surface measurement method using binary fringe projection.
• To mitigate phase extraction errors caused by FS dithering in dynamic 3D imaging.
• To enhance the precision of 3D reconstructions from binary fringe patterns.

Main Methods:

• Proposed a 3D imaging method using binary coded fringes generated with complementary symmetric diffusion paths.
• Generated two sets of binary fringe patterns: one traditional FS, one symmetric FS.
• Applied three-frequency temporal phase unwrapping to each fringe set.
• Fused the resulting absolute phase maps using the IRM-SR algorithm for optimized 3D reconstruction.

Main Results:

• The proposed method significantly reduces phase extraction errors compared to traditional FS dithering.
• Experimental reconstructions of planes and objects show enhanced 3D accuracy.
• Complementary symmetric diffusion paths effectively minimize intensity deviations in binary fringe patterns.

Conclusions:

• The novel binary fringe generation method with complementary symmetric diffusion paths improves 3D imaging accuracy.
• This approach offers a robust solution for precise 3D surface measurement in dynamic applications.
• The fusion of phase maps from symmetric and traditional FS patterns optimizes absolute phase for superior 3D reconstruction.