Optical imaging method using single pixel detector

An optical imaging method using a single-pixel detector, an image of a target object is expressed by using a matrix of M×N pixels;

• the actual size of the scene constituting the target object is in the shape of a rectangle having a size of Mδx×Nδy, where M and N are positive integers, and δx×δy is a geometrical dimension of one pixel in x and y direction, characterized in that the method comprising:
• generating a sequence of light fields having different spatial frequency and initial phase by a structured light field generator;
• wherein an intensity of the light fields is distributed according to a cosine function;
• the light intensity distribution of a light field in the target object plane is P(x, y;
• fx, fy)=a+b·cos(2πfxx+2πfyy+ϕ), wherein a is a mean intensity of the light field;
• b is a contrast;
• a and b are positive numbers;
• x and y are pixel coordinates in the target object plane, x is an integer between 0˜M−1, y is an integer between 0˜N−1;
• fx and fy are respectively frequencies in x and y direction, fx and fy are normalized to be
• α
• M
• ⁢
• ⁢
• and
• ⁢
• ⁢
• β
• N
• ;
• where α is an integer between 0˜M−1, and β is an integer between 0˜N−1;
• ϕ is an initial phase;
• each spatial frequency pair (fx, fy) corresponds to at least three different initial phase ϕ values;
• illuminating light fields onto the target object sequentially;
• wherein the intensity of the light fields is distributed according to a cosine function with different frequency and different initial phase;
• receiving light signals sequentially from the target object by a single-pixel detector and then collecting and recording response values of the single-pixel detector;
• obtaining a Fourier spectrum Dfp(fx, fy) of the image of the target object according to the response values;
• and
• performing a two-dimensional discrete inverse Fourier transform on the spectrum Dfp(fx, fy) to reconstruct the image of the target object I(x, y).