Calculation of reflectance distribution using angular spectrum convolution in mesh-based computer generated hologram.

Area of Science:

• Computer graphics
• Holography
• Computational optics

Background:

• Accurate rendering of 3D object surface reflectance is crucial for realistic computer-generated holograms.
• Existing methods often involve complex phase calculations within mesh structures, limiting efficiency and applicability.

Purpose of the Study:

• To develop a computationally inexpensive and efficient method for generating holograms that accurately render the reflectance distributions of 3D object mesh surfaces.
• To enable fully-analytic mesh-based computer-generated holography without spatial frequency resampling.

Main Methods:

• The proposed method utilizes convolution in the angular spectrum domain of the mesh.
• Efficient computation is achieved through the application of Fourier transforms.
• The approach avoids the need for resampling the spatial frequency grid.

Main Results:

• The method successfully generates computer-generated holograms rendering complex reflectance distributions.
• Error analysis, simulations, and experimental verifications confirm the method's principle and effectiveness.
• The technique demonstrates computational efficiency compared to previous approaches.

Conclusions:

• The proposed angular spectrum convolution method offers an efficient and accurate solution for computer-generated holography of 3D object surfaces.
• This advancement facilitates the creation of realistic and computationally feasible holographic displays.
• The method's analytic nature and computational savings open new possibilities in holographic rendering.