With the development of computer graphics and computer vision technology

light field comes into sight and is rapidly applied in various fields.However

the acquisition of the light field needs a large amount of pictures

which has the characteristics of large data and high cost.So how to use a small amount of data to obtain the light field has been paid more and more attention

and a lot of work has been done.To address the above problems

a new method of light field reconstructing is proposed

which combines with wavelet transform and sparse Fourier transform by using sparseness of light field in angle domain.First

we use multi-resolution analysis characteristic of wavelet transform

and the original image can be decomposed into four sub-frequency images through wavelet transform.Then the frequency positions of four sub-frequencies are separately recovered through the Fourier slice theorem

and their two-dimensional angle spectrum are further obtained

respectively.Finally

the light field is obtained by combining the two-dimensional angle spectrum of each sub-frequency image and making inverse wavelet transform.In the proposed method

the original image is decomposed into four sub-images by using wavelet transform

and the sub-images are reconstructed respectively.This not only reduces the complexity of our method and greatly reduces the running time of our method

which provides the basis for the wide application of the light field

but also our method effectively inhibits the window effect by comparing to only using sparse Fourier algorithm

so that the reconstruction result is more accurate.In addition

the method can effectively improve problem of small frequency leakage in off-grid recovery by separating high frequency and low frequency information

and further improves the reconstruction results.In the end

the effectiveness of the algorithm is verified by simulation.