Аutomatic Constructing the NURBS Surface of a Ship's Hull

Abstract

The article describes an automated algorithm for the formation of a geometric model of the ship's hull surface according to an electronic theoretical drawing. An analysis of the traditional technology for the formation of ship surfaces based on the Russian CAD system (Sea Solution) is presented. The main disadvantages of traditional technology are determined. The automated algorithm for generating a geometric surface model is designed to reduce the complexity of manual design. The mathematical apparatus for constructing NURBS curves and surfaces serves as the instrumental basis of the algorithm, which provides a simple user control of forms. On the basis of a theoretical drawing generated by the CAD system, a cloud of approximation points was created to build the surface of the ship's hull from them. A general scheme of automatic construction of elements of the surface model in the initial approximation is given. To solve this problem, a software product based on HTML5, JavaScript and Three JS and Verb libraries was created. The use of the JavaScript language is due to its versatility, a large amount of information in the public domain. WebGL is used to implement 3D graphics rendering pipeline. Functions from the Three JS libraries made it possible to implement methods used in analytical geometry. The operability of the developed algorithm is demonstrated on the example of building a 3D model of the hull surface of a fishing trawler.