CAJ | 학술논문

为了解决传统方法构造的矩不变量特征集存在的完备性和独立性问题,提出了一种完备的伪Zemike矩相似变换(旋转、平移和缩放)不变量集的构造方法,并给出了系统的推导和证明.首先推导了几何变换前后图像的伪Zemike矩之间的关系,然后基于该关系得到了伪Zernike矩的相似不变量集,并将其表示成变换前图像的同阶和低阶伪Zernike矩的线性组合.同时,研究了通过一组有限的伪Zemike矩不变量进行图像重构的问题.实验结果表明,提出的伪Zernike矩完备不变量集优于复数矩完备不变量集.
위료해결전통방법구조적구불변량특정집존재적완비성화독립성문제,제출료일충완비적위Zemike구상사변환(선전、평이화축방)불변량집적구조방법,병급출료계통적추도화증명.수선추도료궤하변환전후도상적위Zemike구지간적관계,연후기우해관계득도료위Zernike구적상사불변량집,병장기표시성변환전도상적동계화저계위Zernike구적선성조합.동시,연구료통과일조유한적위Zemike구불변량진행도상중구적문제.실험결과표명,제출적위Zernike구완비불변량집우우복수구완비불변량집.
To resolve the completeness and independence of an invariant set derived by the traditional method, a systematic method for deriving a complete set of pseudo-Zemike moment similarity (translation, scale and rotation) invariants is described. First, the relationship between pseudo-Zernike moments of the original image and those of the image having the same shape but distinct orientation and scale is established. Based on this relationship, a complete set of similarity invariants can be expressed as a linear combination of the original pseudo-Zernike moments of the same order and lower order. The problem of image reconstruction from a finite set of the pseudo-Zernike moment invariants (PZMIs) is also investigated. Experimental results show that the proposed PZMIs have better performance than complex moment invariants.