Abstract
The aim of this work is to develop an algorithm for mathematical three-dimensional modeling of a typical roof of a Ukrainian church based on ground-based laser scanning and to find ways to optimize the model depending on the input data set. Method. The accuracy of the simulation depends on the laser scan data. The number of points obtained and their accuracy will affect the final result - 3D model of the roof. Given the typical design of the church roof in the shape of a cone, you can apply the standard mathematical algorithm for modeling part of the buildings of a typical church. Result The proposed algorithm was developed in the MathCad software environment. 3D scanning materials of the Ukrainian typical church were used to develop the mathematical algorithm. The algorithm analyzes the location of the scanning points of the church roof and performs its averaging. As a result of the algorithm, erroneous measurements were rejected and a model of the part of the roof was obtained, which forms the optimal geometry of the structure. Scientific novelty and practical significance. The proposed mathematical algorithm allows to automate some modeling processes of a typical Ukrainian church for design decisions. This method of modeling can be used for similar structures of other buildings.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
