传统Tchebichef矩的旋转不变量是用几何矩的旋转不变量来表示的，这就不能避免几何矩冗余信息多、对噪声敏感等缺点。提出了一种新的Tchebichef矩的旋转不变量，用降阶阶乘的性质，将它转化为可以利用Tchebichef矩直接计算的Tchebichef中心矩的线性组合。实验表明，提出的描述子具有更好的旋转不变性。

Conventional rotational invariants of Tchebichef moments are represented by rotational invariants of geometric moments, therefore the drawbacks of geometric moments, such as high degree of information redundancy and sensitive to noise, are inevitable. New rotational invariants of Tchebichef moments are proposed in this paper. Uusing the properties of falling factor，the proposed moments are transformed to linear combinations of Tchebichef central moments which can be evaluated by Tchebichef moments directly. Experiments show that our descriptor outperformed the conventional descriptor in rotational invariants.