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Three-dimensional surface reconstruction from reflectance direction fields with orthogonal multicolor filters
JOSA A- received 02/12/2024; accepted 05/10/2024; posted 05/13/2024; Doc. ID 521452
- Abstract: A three-dimensional (3D) freeform surface reconstruction method is proposed,specifically designed to handle complex surfaces, even those with steep inclinations. Thismethod utilizes a one-shot color mapping imaging system to obtain reflectance direction fieldsusing a stripe multicolor filter positioned in two orthogonal orientations. This imaging systemcan capture reflectance directions that are identifiable by corresponding colors. The multicolorfilter consists of multiple stripe regions, each with a different transmission spectrum.Theoretically, an equation that describes the relationship between reflectance direction fieldsand the reflective 3D surface can be derived based on the geometrical optics. By solving thisequation using a deep neural network (DNN) as a gradient descent method without any trainingdata, the 3D surface can be accurately reconstructed, even for surfaces with steep inclinations.The effectiveness of this method is validated through numerical demonstrations on several 3Dsurfaces, including complex ones with concave and convex areas, as well as steep inclinations.