The main work and contributions of the thesis are summarized as follows : 1 - d and 2 - d real - valued discrete gabor transforms are presented 为了简化gabor变换的计算，本文对离散gabor变换快速算法及其应用进行了深入研究。
The mathematic process of deriving phase congruence ( pc ) invariant is discussed from theory , the formula of pc invariant is presented 从理论上详细探讨了用gabor小波求解相位叠加不变量pc的数学过程，给出了相应的pc不变量的公式。
In gabor filter , we use eight directional filtering to process fingerprint image to compare wiener filtering , we get good process result 在预处理中,采用八个方向的gabor滤波对指纹图像进行滤波,把它与维纳滤波作比较,得了较好的试验结果。
