面向曲面屏的透视变换无畸变3D渲染与显示方法OA

To eliminate geometric distortion on self-luminous curved screens caused by physical curvature,this paper proposes an adaptive segmented distortion-free 3D rendering and display method for curved screens based on perspective transformation,enabling viewers to see the rendered scene identically to directly viewing the 3D scene without the screen.The curved screen is approximated as multiple planar segments.Using perspective transformation and the known viewpoint,the object-image relationship is reversed,and the perspective matrix computes images on each segment.Adaptive partitioning minimizes the 2D mean square error between the curve and fitted polyline via the Adam algorithm.Stitching boundaries are smoothed with overlapping regions Δw and linear interpolation.Blender 4.0 simulations show the proposed method achieves a PSNR of 13.23 dB,which is 5.58 dB higher than direct rendering(7.65 dB),exceeding the 12 dB distortion threshold.Using m=30 planar segments balances high PSNR and computational cost.This method significantly reduces distortion on curved screens and applies to large outdoor curved LEDs and flexible consumer electronics,offering a feasible path for glasses-free 3D on curved displays.