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中文摘要：
定义在单位圆盘上的正交旋转不变矩函数（如Zernike矩）具有非常广泛的应用．本文基于一类正交分段多项式函数系V系统，构造了一种新型的矩函数，称之为正交旋转不变V矩（简称为V矩）．除了正交性、旋转不变性之外，由于V系统具有次数低、表达式简单的优点，V矩能够避免传统矩函数中高阶多项式的计算，从而能够保证数值稳定性，降低计算复杂度．实验结果表明，V矩比传统的正交旋转不变矩具有更好的图像重建与图像检索结果．
英文摘要：
Orthogonal rotation-invariant moments （ORIMs） such as Zernike moments introduced and defined on a con- tinuous unit disk have been proven to be powerful tools in many applications. A new kind of ORIMs named V moments （VMs） is introduced in this paper, which is based on a class of orthogonal piecewise polynomial functions -- V system. In addition to orthogonality and rotation-invariant, VMs have two special advantages of numerical stability and low compu- tational complexity, which originate from the low degrees and simple expressions of the V system. Experimental results are presented to show that VMs can have a better image reconstruction and image retrieval results than the traditional moments.
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