期刊论文

Multi-scale representation of curves based on Fourier energy metric

Liu, Pengcheng(liupc@mail.ccnu.edu.cn)

中文

中国矿业大学学报

1000-1964

2020

49

3

587-594

10.13247/j.cnki.jcumt.001154

41531180:国家自然科学基金 41871377:国家自然科学基金 2017YFB0503502:国家重点研发计划 ZRZYBWD201909:数字制图与国土信息应用工程国家测绘地理信息局重点实验室开放研究基金 CCNU30106190454:中央高校基本科研业务费专项

本校为第一机构

通过傅里叶级数将地理要素从空间域转化到频率域,从频域的角度结合Parseval定理计算地理要素各个频率所包含的能量,并以人眼识别能力为基准,结合地理要素的原始比例尺计算其实地距离阈值,将曲线的直流分量剔除后得到该地理要素的有效总能量.再分别设置不同的能量衰减率将地理要素的高频部分进行剔除,并将相对应的不同傅里叶展开次数下的拟合曲线与地理线要素之间的平均空间距离和能量衰减率相结合,探索地理要素的能量变化对其比例尺的影响,建立曲线的能量衰减率与其尺度变化之间的函数关系.最后,分别选取小比例尺的海岸线数据和大比例尺的等高线数据作为研究对象进行实验,设置不同缩放等级的地图...

The geographic features were transformed from spatial domain to frequency domain by the Fourier series. From the perspective of frequency domain. the Parseval theorem was used to calculate the energy contained in each frequency of the geographic features. Based on the recognition ability of human eyes and combined with the original scale of the geographic features, the actual ground distance threshold was calculated and the effective total energy of the geographic features was obtained after removing the DC component of the curve. Then set diff...