摘要
研究了Ｋｏｃｈ曲线（和修改Ｋｏｃｈ曲线）岛周长—面积关系和本文称之为第１类广义Ｋｏｃｈ曲线岛周长—最大直径关系、周长—凸壳周长关系失效的原因，计算了利用这些关系获得分维理论值和理想分维值时曲线岛周界所需达到的嵌套层次及初始图形和变量ａ的影响。对于本文称之为的第２类广义Ｋｏｃｈ曲线岛，无论其嵌套层次如何，由周长—面积方法和周长—最大直径等方法均可获得分维理论值。
The reasons for failure of both perimeter-area relation of Koch curve islands (and modified Koch curve islands) and perimeter-maximum diameter (or perimeter-convex hull perimeter) relation of the first kind generalized Koch curve islands named in this paper were analyzed. The required nested tiers were calculated to obtain the theoretical value of fractal dimension or the ideal value of fractal dimension up to the precision of auto-image analysis from the relations above-mentioned, while the effects of both the original figure and a given parameter were also discussed. The theoretical value of fractal dimension can be always obtained from both the perimeter-area and the perimeter-maximum diameter relations for the second kind generalized Koch curve island named in this paper.
出处
《中国体视学与图像分析》
1997年第4期208-213,共6页
Chinese Journal of Stereology and Image Analysis
