Inverse Problems in Fractal Construction: Hellinger Distance Method
提出一种基于修正Hellinger距离的方法，用于寻找最佳逼近给定图像的迭代函数系统，该方法无需完整图像信息且能消除大部分局部最优解。
SUMMARY Some images can be approximated by the geometry of fractals that are attractors of iterative function systems. The inverse problems to be discussed involve searching for an iterative function system that best approximates a given image. Existing methods often assume full knowledge of the image and rely on complicated computations to avoid local optima in the distance measure being used. We propose the use of a revised Hellinger distance in addressing inverse problems. It is shown that the new method does not require full knowledge of the image to be approximated and can eliminate most of the unwanted locally optimal approximations.