测绘通报 ›› 2025, Vol. 0 ›› Issue (12): 134-138,167.doi: 10.13474/j.cnki.11-2246.2025.1223

• 技术交流 • 上一篇    

基于MLP的计曲线内插首曲线生成方法

赵秋瑾1, 刘传宾2, 王陈哲3, 张春森4   

  1. 1. 武汉大学资源与环境科学学院, 湖北 武汉 430079;
    2. 武汉讯图科技有限公司, 湖北 武汉 430079;
    3. 国家基础地理信息中心, 北京 100830;
    4. 西安科技大学测绘学院, 陕西 西安 710054
  • 收稿日期:2025-05-21 发布日期:2025-12-31
  • 通讯作者: 王陈哲。E-mail:wangchenzhe@ngcc.cn
  • 作者简介:赵秋瑾(2004—),女,主要研究方向为地形测绘。E-mail:2022302051081@whu.edu.cn
  • 基金资助:
    国家重大研发计划(2024YFF0617400)

MLP-based index contour interpolation for primary contour generation

ZHAO Qiujin1, LIU Chuanbin2, WANG Chenzhe3, ZHANG Chunsen4   

  1. 1. School of Resource and Environmental Sciences, Wuhan University, Wuhan 430079, China;
    2. Wuhan Xuntu Technology Co., Ltd., Wuhan 430079, China;
    3. National Geomatics Center of China, Beijing 100830, China;
    4. College of Surveying and Mapping Science and Technology, Xi'an University of Science and Technology, Xi'an 710054, China
  • Received:2025-05-21 Published:2025-12-31

摘要: 针对传统等高线内插方法在复杂地形中非线性特征处理能力不足的问题,本文提出一种基于多层感知机(MLP)的自动内插方法。通过加密计曲线生成控制点,网格化生成带高程约束的自由点,利用位置编码技术处理空间坐标后输入 MLP 模型,构建坐标到高程值的非线性映射,并结合地形约束优化预测过程。试验对比表明,该方法在山谷、山脊等曲率变化区域生成的首曲线能精准贴合地形走向,过渡自然平滑,显著优于反距离加权法和三次逼近法,后两者易出现节点失配、曲线生硬等问题。消融试验验证了高程约束对地形连续性表达的提升作用。研究表明,MLP非线性建模有效,但存在大规模数据处理效率局限,未来可通过轻量化网络、约束优化及分布式计算提升实用性。

关键词: 等高线, 地形测绘, 空间插值, 多层感知机

Abstract: To address the issue of traditional contour interpolation methods failing to handle nonlinear terrain features in complex areas,a multi-layer perceptron (MLP)-based automatic interpolation method is proposed.Control points are generated by densifying contour lines,and free points with elevation constraints are created using a gridding method.Spatial coordinates are processed with positional encoding and input into an MLP model to build a nonlinear mapping from coordinates to elevations,with terrain constraints incorporated to optimize predictions.Experimental comparisons show that the method generates first contours accurately following terrain trends with smooth transitions in sharply curved areas like valleys and ridges,significantly outperforming inverse distance weighting and cubic approximation methods.The latter two exhibit node mismatches and abrupt curves in such regions.Ablation experiments confirm that elevation constraints enhance the continuity of terrain representation.The study demonstrates the effectiveness of MLP-based nonlinear modeling for contour interpolation,but it has efficiency limitations for large-scale data processing.Future research may focus on lightweight network design,constraint optimization,and distributed computing to improve practical applicability.

Key words: contour lines, topographic mapping, spatial interpolation, MLP

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