Unified analytical framework for continuous shading and texture rendering in polygon-based computer-generated holography

Numerous variants of analytical algorithms for polygon-based holography based on 3D affine transformation exist, all aimed at reducing computational load while enabling the rendering of complex surfaces. Building on the improved rapid algorithm for continuous shading, this study further incorporates computer graphics texture mapping and the Blinn-Phong reflection model. We propose a continuous texture rendering method, along with a unified approach for continuous shading and texture rendering, to enhance the realism of reconstructed images. Numerical and optical reconstruction experiments confirm the feasibility of the proposed rendering method.