彩色图像有效压缩及联合重建的研究

Study on Effective Compression and Joint Reconstruction of Color Image

足够的稀疏性是信号或图像压缩感知精确重建的前提,但实际情况下的彩色图像并不完全满足此约束条件。为了降低稀疏性的限制,这里给出了基于小波分解与联合重建的彩色图像压缩方法,该方法是将彩色图像的RGB分量独立地分解成密集和稀疏两部分,密集部分采用传统方法编码,稀疏部分采用压缩感知进行压缩编码。文中还讨论了如何采用联合重建算法同时重建RGB 3个分量的稀疏部分,及结合密集部分进行原始彩色图像的重建问题。仿真结果表明:该方法是实现实际彩色图像的压缩传输和精确重建的一种有效方法。

The premise of exact reconstruction is that the signal or image with compressed sensing is sparse enough, but the real color image could not satisfy this condition. For reducing the restriction of sparsity, the compressing method for color image based on wavelet decomposing and joint reconstruction is proposed, this method independently decomposes the RGB portion of color image into to dense part and sparse part, the dense part is encoded with the traditional method, while the sparse part with compressed sensing. This paper also discusses how to restore the sparse part of the RGB portion with joint reconstruction algorithm and reconstruct the original color image in integration with the dense part. Simulation indicates that this method provides an effective method for implementing the compressed transmission and exact reconstruction of color image.