Aspects to be considered in case of variable surfaces modelling

Gheorghe Asachi Technical University of Iasi, Department of Machine Manufacturing and Industrial Management, Blvd. Dimitrie Mangeron no. 59A, Iasi, Romania

^* Corresponding author and co-author(s): andrei.mihalache@tuiasi.ro

Abstract

Proper triangulation will bring benefits regarding the numerical conditioning of nodes within the point cloud but will also allow certain nodes to be able to move around those that are neighboring them. In this way, surface features as chained regions or curves will have a certain degree of freedom which will allow them to slide one towards another. At a more careful evaluation there is a major drawback in terms of lack of possibility to take into consideration the operations which depend upon approximate shapes inside the ideal shape evaluation process. In order to be able to control the accuracy of the process there is an impetuous need for all surfaces to be described functionally. Any triangulation procedure has to be able to allow control over the analyzed surface topology and any other after modifications: dividing the surface along an incorporated curve in order to define a new edge or sticking two surfaces together in order to form a mutual boundary edge.