{"title":"The Data-Optimized Oblique Mercator Projection","authors":"Sebastian von Specht;Malte J. Ziebarth","doi":"10.1109/JSTARS.2025.3542802","DOIUrl":null,"url":null,"abstract":"Map projections transform the Earth's curved surface into a plane and are thus crucial for mapping and geospatial analysis. However, projections inevitably introduce distortion, requiring the selection of a suitable map projection for the mapped region. The conventional approach is to choose from predefined map projections. Unfortunately, the available projections are limited in variety and can be difficult to evaluate effectively. We propose an alternative approach: rather than selecting from a predefined set of projections, we introduce an algorithm that optimizes a single projection for a given dataset: Data-Optimized Oblique Mercator (DOOM). At its core is the HOM projection, featuring a flexible set of adjustable parameters and a universal implementation in GIS platforms and related software. DOOM utilizes the well-established optimization algorithms Levenberg–Marquardt, Adamax, and BFGS, to optimize the projection parameters, minimizing distortion in the mapping of geospatial data. The algorithm supports various objective functions (e.g., <inline-formula><tex-math>$L^{1}$</tex-math></inline-formula>- and <inline-formula><tex-math>$L^{2}$</tex-math></inline-formula>-norms, minmax) and can be extended to incorporate data weighting. The methodology is validated through several case studies, highlighting its adaptability across diverse applications. In addition, we introduce a GIS plugin to streamline the use of optimized projection parameters, enhancing accessibility for the geospatial community.","PeriodicalId":13116,"journal":{"name":"IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing","volume":"18 ","pages":"6916-6939"},"PeriodicalIF":4.7000,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10891375","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing","FirstCategoryId":"5","ListUrlMain":"https://ieeexplore.ieee.org/document/10891375/","RegionNum":2,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
Map projections transform the Earth's curved surface into a plane and are thus crucial for mapping and geospatial analysis. However, projections inevitably introduce distortion, requiring the selection of a suitable map projection for the mapped region. The conventional approach is to choose from predefined map projections. Unfortunately, the available projections are limited in variety and can be difficult to evaluate effectively. We propose an alternative approach: rather than selecting from a predefined set of projections, we introduce an algorithm that optimizes a single projection for a given dataset: Data-Optimized Oblique Mercator (DOOM). At its core is the HOM projection, featuring a flexible set of adjustable parameters and a universal implementation in GIS platforms and related software. DOOM utilizes the well-established optimization algorithms Levenberg–Marquardt, Adamax, and BFGS, to optimize the projection parameters, minimizing distortion in the mapping of geospatial data. The algorithm supports various objective functions (e.g., $L^{1}$- and $L^{2}$-norms, minmax) and can be extended to incorporate data weighting. The methodology is validated through several case studies, highlighting its adaptability across diverse applications. In addition, we introduce a GIS plugin to streamline the use of optimized projection parameters, enhancing accessibility for the geospatial community.
期刊介绍:
The IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing addresses the growing field of applications in Earth observations and remote sensing, and also provides a venue for the rapidly expanding special issues that are being sponsored by the IEEE Geosciences and Remote Sensing Society. The journal draws upon the experience of the highly successful “IEEE Transactions on Geoscience and Remote Sensing” and provide a complementary medium for the wide range of topics in applied earth observations. The ‘Applications’ areas encompasses the societal benefit areas of the Global Earth Observations Systems of Systems (GEOSS) program. Through deliberations over two years, ministers from 50 countries agreed to identify nine areas where Earth observation could positively impact the quality of life and health of their respective countries. Some of these are areas not traditionally addressed in the IEEE context. These include biodiversity, health and climate. Yet it is the skill sets of IEEE members, in areas such as observations, communications, computers, signal processing, standards and ocean engineering, that form the technical underpinnings of GEOSS. Thus, the Journal attracts a broad range of interests that serves both present members in new ways and expands the IEEE visibility into new areas.