Abstract
This paper presents an effective and semi-automated method for detecting 3D edges in 3D point clouds with the help of high-resolution digital images. The effort aims to contribute towards addressing the unsolved problem of automated production of vector drawings from 3D point clouds of cultural heritage objects. Edges are the simplest primitives to detect in an unorganized point cloud and an algorithm was developed to perform this task. The provided edges are defined and measured on 2D digital images of known orientation, and the algorithm determines the plane defined by the edge on the image and its perspective center. This is accomplished by applying suitable transformations to the image coordinates of the edge points based on the Analytical Geometry relationships and properties of planes in 3D space. This plane inevitably contains the 3D points of the edge in the point cloud. The algorithm then detects and isolates those points which define the edge in the world system. Finally, the goal is to reliably locate the points that describe the desired edge in their true position in the geodetic space, using several constraints. The algorithm is firstly investigated theoretically for its efficiency using simulation data and then assessed under real conditions and under different image orientations and lengths of the edge on the image. The results are presented and evaluated.
Highlights
Geometric Documentation of Cultural Heritage is considered a necessary background for all archaeological and architectural studies for the restoration of cultural heritage monuments and objects, as mandated by the Venice Charter Available online: https:// www.icomos.org/charters/venice_e.pdf
Each 3D line in the point cloud creates a 3D plane, which can be accurately determined using at least two different points belonging to the 3D edge and the 3D space coordinates of the projective center
An effective automated method for detecting 3D straight edges in unorganized point clouds using the basic notions of Analytical Geometry and standard Photogrammetry is proposed
Summary
Geometric Documentation of Cultural Heritage is considered a necessary background for all archaeological and architectural studies for the restoration of cultural heritage monuments and objects, as mandated by the Venice Charter Available online: https:// www.icomos.org/charters/venice_e.pdf (accessed on 3 April 2021). To this day, this is performed through the production of traditional two-dimensional vector drawings, and it is estimated that these will not be replaced soon. Is the deep understanding of the monument and the consideration of all historical and archaeological data related to it This implies the correct study and deep understanding and interpretation of the object, especially its structure and construction phases through its history. This is a need which should be addressed in the future
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