A study on evaluation of natural shape lines using fractal theory and fuzzy systems theory

利用分形理论和模糊系统理论评价自然形状线条的研究

• 批准号: 10650395
• 负责人: MURAKAMI Shuta
• 金额: $ 1.66万
• 依托单位: Kyushu Institute of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10650395/
• 关键词: fractal dimension; fuzzy evaluation; fuzzy inference; natural shape line; digital map; "easy-to-see" property; simplification algorithms; scale-down and simplification map; 縮小簡略図; フラクタル理論; ファジィルール; 地図データ

1. Feature extraction of natural shape linesIf we want to make a wide range map while gathering a large number of residential maps and scaling down them directly, the obtained map will not be easy to see. Therefore, some kinds or simplification methods are required. Especially, when complicated natural shape lines like the coast lines and the lake lines are scaled down, it is necessary to simplify them while at the same time they still must be easy to see.In this study, we first proposed a method to divide the natural shape lines into three parts with features such as "linear", "intricate" and "man-made" by using fractal analysis. Then we developed the scale-down and simplification methods according to natural shape line features mentioned above.2. Development of scale-down and simplification methods for natural shape linesWe constructed fuzzy rules which evaluate the "easy-to-see" property of the map obtained by scaling down and simplifying the "intricate" natural shape lines. The ant … More ecedent part variables of the rules are (1) fractal dimension value of the obtained map, (2) the value of reduced scale and (3) the maximum ratio of direction between two adjacent points. These variables are divided into three parts with fuzzy labels such as "small", "medium" and "large". The consequent part variable is the evaluation value of the "easy-to-see" property and is divided seven fuzzy labels. Hence, we developed the method to determine the parameters or the simplification algorithms (Opheim algorithm and Reuman-Witkam algorithm) by using the fuzzy evaluation rules.Even though the "linear" natural shape lines are scaled down and simplified, the evaluation of the "easy-to-see" property scarcely changes. Therefore, the parameters of the simplification algorithms are to be fixed at the standard values. To the "man-made" shape lines the simplification is not to be applied.Finally, we could develop the scale-down and simplification method for the natural shape lines while the obtained map is easy to see. Less

1.自然形状线的特征提取如果要制作大范围的地图，同时收集大量的居民区地图，并直接将其缩小，得到的地图将不容易看到。因此，需要一些类型或简化方法。特别是对于海岸线、湖泊线等复杂的自然形态线，在进行比例缩小处理时，需要在简化的同时保持其清晰度。本研究首先提出了一种利用分形分析将自然形态线划分为“线性”、“复杂”和“人为”三部分的方法。然后根据上述自然形状线的特征，提出了相应的缩小和简化方法.自然形状线的缩小和简化方法的发展我们构造了模糊规则来评价通过缩小和简化“复杂”的自然形状线所获得的地图的“易见性”。蚂蚁 ...更多信息 规则的前三部分变量为：（1）得到的地图的分维值，（2）缩小尺度值，（3）相邻两点间的最大方向比。这些变量被分为三个部分，具有模糊标签，如“小”，“中”和“大”。结果部分变量是“易见”属性的评价值，并被划分为七个模糊标签。因此，我们开发了使用模糊评价规则来确定参数的方法或简化算法（Opheim算法和Reuman-Witkam算法）。即使“线性”自然形状线被缩小和简化，“易于看到”属性的评价也几乎没有变化。因此，简化算法的参数将被固定在标准值。对于“人造”形状的线条，则不进行简化，最后，在得到的地图易于观察的情况下，提出了自然形状线条的缩小和简化方法。少

项目成果

Kazunori Inoue and Shuta Murakami: "Evaluation of the shape lines of natural formation using fractal and fuzzy theories"Proceedings of the 14th Fuzzy System Symposium. 851-852 (1998)

Kazunori Inoue 和 Shuta Murakami：“使用分形和模糊理论评估自然形成的形状线”第 14 届模糊系统研讨会论文集。

村上周太、室篤史: "フラクタル理論とファジィ理論を用いた自然形状線の縮小簡略化手法"第18回計測自動制御学会九州支部学術講演会予稿集. 337-338 (1999)

Shuta Murakami，Atsushi Murakami：“利用分形理论和模糊理论减少和简化自然形状线的方法”第十八届仪器与控制工程师学会九州分会学术会议论文集337-338（1999）。

Kazunori Inoue and Shuta Murakami: "Evaluation of the shape lines of natural formation using fractal and fuzzy theories"Proceedings of the 16th SICE Kyushu Branch Annual Conference. 33-34 (1997)

Kazunori Inoue和Shuta Murakami：“利用分形和模糊理论评估自然形成的形状线”第16届SICE九州分会年会论文集。

井上和典、村上周太: "フラクタル理論とファジィ理論を用いた自然形状線の評価"第14回ファジィシステムシンポジウム講演論文集. 851-852 (1998)

Kazunori Inoue、Shuta Murakami：“使用分形理论和模糊理论评估自然形状线”第 14 届模糊系统研讨会论文集 851-852 (1998)。

Shuta Murakami, Atsushi Muro and Manabu Shimakawa: "A method of reduction and simplification with fractal theory and fuzzy theory"Proceedings of the 18th SICE Kyushu Branch Annual Conference. 337-338 (1999)

Shuta Murakami、Atsushi Muro、Manabu Shimakawa：《用分形理论和模糊理论进行归约和简化的方法》第18届SICE九州分会年会论文集。