Analysis of hyperboloid cooling tower projection on 2D shape

• Autorzy: Kwinta Andrzej , Bac-Bronowicz Joanna

Identyfikatory

DOI

10.15576/GLL/2021.3.25

• Języki publikacji: EN

Abstrakty

EN

This paper undertakes the problem of mapping a hyperboloid cooling tower on a single plane. Measurements performed by ground-based laser scanning technology quickly deliver substantial amounts of geometric data of the tower’s outer wall. The essence of the article is projection of the rotational hyperboloid on a plane. The shape of the hyperboloid cooling tower is not directly expandable to a single plane. Mapping a hyperboloid shape on a plane is, therefore, associated with distortions. This paper presents a comparison between cylindrical and conic projection of a hyperboloid cooling tower. The most popular method of mapping hyperboloid is cylindrical projection. The cylinder’s side surface is easily developed on the drawing sheet. For the hyperboloid cooling tower, the biggest distortions occur in the latitudinal direction and reach the highest values at the top and bottom edges. The equation (13) describe distortion for the cylindrical projection. The equation (18) describe distortion for the conical projection. This paper presents results obtained from the performed measurement. The analysis found that cone mapping produces less distortion than cylindrical projection for the hyperboloid cooling tower. We think, that in conical projection, the shape of a hyperboloid cooling tower and theoretical conic shape have better corresponding together than in cylindrical projection.

Słowa kluczowe

EN

tower measurement; tower analysis; cartographic projection; laser scanning

PL

chłodnia kominowa hiperboidalna; pomiar wieży; projekcja kartograficzna; skanowanie laserowe

• Wydawca: Wydawnictwo Uniwersytetu Rolniczego w Krakowie
• Czasopismo: Geomatics, Landmanagement and Landscape
• Rocznik: 2021
• Tom: no. 3
• Strony: 25--40
• Opis fizyczny: Bibliogr. 30 poz., rys.

Twórcy

autor

Kwinta Andrzej

• University of Agriculture in Krakow Department of Geodesy 30-149 Kraków, ul. Balicka 253a

• https://orcid.org/0000-0002-2003-7703

autor

Bac-Bronowicz Joanna

• Wrocław University of Science and Technology Department of Geotechnology, Hydro Technology, and Underground and Hydro Engineering Wybrzeże Wyspiańskiego 27, 50-370 Wrocław

• https://orcid.org/0000-0001-9038-1131

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).