Samper, Albert; Herrera, Blas; Costa-Jover, Agusti (2022). Systematic calculation of flying buttress parameters by means of geometric regression. Journal Of Cultural Heritage, 54(), 21-30. DOI: 10.1016/j.culher.2022.01.005
Paper original source:
Journal Of Cultural Heritage. 54 21-30
Abstract:
This paper investigates the geometric parameters of a flying buttress: position of the center O of the intrados arch, radius R of the intrados arch, inclination α, rise F, span distance L and horizontal thickness E of the culée. Using photogrammetrical techniques, point cloud control, vector redrawing and geometric regression, this paper provides an objective, non-arbitrary procedure to determine the center O and the radius R of a flying buttress arch. This results in two outcomes: 1) Non-arbitrary determination of the remaining parameters α, F, L and E; 2) Non-arbitrary classification of flying buttress arches into two types, according to the criterion laid down by Viollet-le-Duc in 1854.
This paper investigates the geometric parameters of a flying buttress: position of the center O of the intrados arch, radius R of the intrados arch, inclination α, rise F, span distance L and horizontal thickness E of the culée. Using photogrammetrical techniques, point cloud control, vector redrawing and geometric regression, this paper provides an objective, non-arbitrary procedure to determine the center O and the radius R of a flying buttress arch. This results in two outcomes: 1) Non-arbitrary determination of the remaining parameters α, F, L and E; 2) Non-arbitrary classification of flying buttress arches into two types, according to the criterion laid down by Viollet-le-Duc in 1854.