Method of producing a reflective or refractive surface

摘要

A method and apparatus for producing a reflective or refractive surface that reflects or refracts light shined thereon and reproduces on a screen a desired greyscale intensity image on which the reflective or refractive surface is based and a corresponding apparatus, wherein the method permits a reproduction of a reference grayscale image with adjustable precision.

主权项

1. A method for forming a reflective or refractive surface, comprising:
providing a processor; discretizing a two-dimensional image formed on a first surface into a first mesh of a plurality of first nodes on the first surface via the processor, wherein a first portion of the plurality of the first nodes on the first surface defines a first cell area Ad,1 of the first mesh on which a first beam of light with a first radiant flux Φ1 is incident, and a second portion of the plurality of the first nodes on the first surface defines a second cell area Ad,2 of the first mesh on which a second beam of light with a second radiant flux Φ2 is incident, and wherein the second cell area Ad,2 of the first mesh is adjacent to the first cell area Ad,1 of the first mesh and the first cell area Ad,1 of the first mesh and the second cell area Ad,2 of the first mesh have at least one first one node of the plurality of first nodes in common; discretizing a reflective or refractive second surface into a second mesh of a plurality ofsecond nodes on a second surface via the processor, wherein a first portion of the plurality of the second nodes on the second surface defines a first cell area As,1 of the second mesh on which the first beam of light with the first radiant flux Φ1 is incident and is deviated towards the first cell area Ad,1 of the first mesh, and a second portion of the plurality of the second nodes on the second surface define a second cell area As,2 of the second mesh on which the second beam of light with the second radiant flux Φ2 is incident and is deviated towards the second cell area Ad,2 of the first mesh, and wherein the first cell area As,1 of the second mesh is adjacent to the second cell area As,2 of the second mesh and the first cell area As,1 of the second mesh and the second cell area As,2 of the second mesh have at least one second node of the plurality of second nodes in common;in an iterative optimization process, adjusting positions of one or more second nodes of the first portion of the plurality of second nodes of the first cell area As,1 of the second mesh on the second surface via the processor, so that the first cell area As,1 of the second mesh corresponds to a first radiant exitance M1 of the first beam of light on the first cell area As,1 of the second mesh on the second surface, wherein the first radiant exitance M1 corresponds to a brightness of the two-dimensional image in the first cell area Ad,1 of the first mesh; and
adjusting positions of one or more second nodes of the second portion of the plurality second nodes of the second cell area As,2 of the second mesh on the second surface via the processor, so that the second cell area As,2 of the second mesh corresponds to a second radiant exitance M2 of the second beam of light on the second cell area As,2 of the second mesh on the second surface, wherein the second radiant exitance M2 corresponds to a brightness of the two-dimensional image in the second cell area Ad,1 of the first mesh.