中文摘要：

天文图像具有复杂的形态学层级结构和不规则的纹理形态，可在不同尺度和方向上表示．该文针对天文纹理表示，从正交性对其机理进行假设，从而提取纹理信息．基于正交优化准则（OOC）、小波以及各向异性耗散（AD），提出一种天文图像的纹理特征提取方法．该方法的理论假设为图像纹理和分段平滑分量互相正交，核心技术是正交性参数估计．首先采用基于正交测度的小波阈值方案，使用多尺度框架在不同尺度和方向对纹理进行提取和分析，然后用滤波后分段平滑分量作为下一步耗散的初始值．参数估计用于小波阈值估计和AD迭代步数估计．数据实验采用星系和引力透镜数据，并与国际流行的6种图像分解算法比较．结果证明该方法在天文纹理特征提取上达到令人满意的效果，具有一定优势和先进性。

英文摘要：

Astronomical images have complex morphological and hierarchical structures and irregular shapecl textures, and they can be represented at different scales and directions. The purpose of this paper is to represent astronomical textures, and its mechanism is assumed from the perspective of orthogonality to extract the texture information. Based on orthogonality optimization criterion （OOC）, wavelet filters, and anisotropic diffusion （ AD）, a method is presented to extract texture features for astronomical images. The estimation is mainly applied to estimate the thresholds for multiscale wavelet filtering and AD iteration number. The images of galaxies and gravitational lensing are adopted for numerical experiments, and comparisons are implemented with 6 types of the currently used methods of image decomposition. The experimental results show that the orooosed method can gain satisfying results in extracting astronomical textures, and it has advantages and advancement compared to other methods.