Enhancing adaptive composite map projections: Wagner transformation between the Lambert azimuthal and the transverse cylindrical equal-area projections

Bernhard Jenny, Bojan Šavrič

    Research output: Contribution to journalArticleResearchpeer-review

    Abstract

    The adaptive composite map projection technique changes the projection to minimize distortion for the geographic area shown on a map. This article improves the transition between the Lambert azimuthal projection and the transverse equal-area cylindrical projection that are used by adaptive composite projections for portrait-format maps. Originally, a transverse Albers conic projection was suggested for transforming between these two projections, resulting in graticules that are not symmetric relative to the central meridian. We propose the alternative transverse Wagner transformation between the two projections and provide equations and parameters for the transition. The suggested technique results in a graticule that is symmetric relative to the central meridian, and a map transformation that is visually continuous with changing map scale.
    Original languageEnglish
    Pages (from-to)456-463
    Number of pages8
    JournalCartography and Geographic Information Science
    Volume45
    Issue number5
    DOIs
    Publication statusPublished - 2018

    Keywords

    • map projection
    • dynamic mapping
    • Adaptive composite map projections
    • adaptable projection
    • Wagner transformation
    • Umbeziffern
    • web map

    Cite this

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    title = "Enhancing adaptive composite map projections: Wagner transformation between the Lambert azimuthal and the transverse cylindrical equal-area projections",
    abstract = "The adaptive composite map projection technique changes the projection to minimize distortion for the geographic area shown on a map. This article improves the transition between the Lambert azimuthal projection and the transverse equal-area cylindrical projection that are used by adaptive composite projections for portrait-format maps. Originally, a transverse Albers conic projection was suggested for transforming between these two projections, resulting in graticules that are not symmetric relative to the central meridian. We propose the alternative transverse Wagner transformation between the two projections and provide equations and parameters for the transition. The suggested technique results in a graticule that is symmetric relative to the central meridian, and a map transformation that is visually continuous with changing map scale.",
    keywords = "map projection, dynamic mapping, Adaptive composite map projections, adaptable projection, Wagner transformation, Umbeziffern, web map",
    author = "Bernhard Jenny and Bojan Šavrič",
    year = "2018",
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    language = "English",
    volume = "45",
    pages = "456--463",
    journal = "Cartography and Geographic Information Science",
    issn = "1523-0406",
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    TY - JOUR

    T1 - Enhancing adaptive composite map projections

    T2 - Wagner transformation between the Lambert azimuthal and the transverse cylindrical equal-area projections

    AU - Jenny, Bernhard

    AU - Šavrič, Bojan

    PY - 2018

    Y1 - 2018

    N2 - The adaptive composite map projection technique changes the projection to minimize distortion for the geographic area shown on a map. This article improves the transition between the Lambert azimuthal projection and the transverse equal-area cylindrical projection that are used by adaptive composite projections for portrait-format maps. Originally, a transverse Albers conic projection was suggested for transforming between these two projections, resulting in graticules that are not symmetric relative to the central meridian. We propose the alternative transverse Wagner transformation between the two projections and provide equations and parameters for the transition. The suggested technique results in a graticule that is symmetric relative to the central meridian, and a map transformation that is visually continuous with changing map scale.

    AB - The adaptive composite map projection technique changes the projection to minimize distortion for the geographic area shown on a map. This article improves the transition between the Lambert azimuthal projection and the transverse equal-area cylindrical projection that are used by adaptive composite projections for portrait-format maps. Originally, a transverse Albers conic projection was suggested for transforming between these two projections, resulting in graticules that are not symmetric relative to the central meridian. We propose the alternative transverse Wagner transformation between the two projections and provide equations and parameters for the transition. The suggested technique results in a graticule that is symmetric relative to the central meridian, and a map transformation that is visually continuous with changing map scale.

    KW - map projection

    KW - dynamic mapping

    KW - Adaptive composite map projections

    KW - adaptable projection

    KW - Wagner transformation

    KW - Umbeziffern

    KW - web map

    U2 - 10.1080/15230406.2017.1379036

    DO - 10.1080/15230406.2017.1379036

    M3 - Article

    VL - 45

    SP - 456

    EP - 463

    JO - Cartography and Geographic Information Science

    JF - Cartography and Geographic Information Science

    SN - 1523-0406

    IS - 5

    ER -