噪声背景下自然景物图像的分维估计

Fractal Dimension Estimation for Images of Natural Scenery in a Noise Background

分析了白噪声对于基于离散分数布朗随机场（简记为ＤＦＢＲＦ）图像模型的自然景物图像分形维数估计的影响；给出了有噪背景下分形维数估计中采用最小二乘法拟合直线时，线性标度区的下界；并且指出了有噪背景下改善分形维数估计准确性的策略。

he effect of white noise on the estimation of fractal dimension for images of naturalscenery based on discrete fractional Brownian random field(DFBRF)is discussed. The low-er bound of the estimation of fractal dimension using the least-square linear fitting is givenand the guidelines for improving the estimation in a noise background are suggested.