Browsing by Author "Gaspar, M."
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- Computer construction of platonic solidsPublication . Gaspar, M.; Leita, M.; Martins-Ferreira, N.; Panda, B. N.In this paper we develop a novel method to generate a 3D geometrical model from 2D planer images. As an example of application, we construct 3D models of each one of the five platonic solids from their platonic graphs.
- Computer tool for maximizing the placement of congruent polyhedraPublication . Gaspar, M.; Alves, N.; Mateus, A.; Martins-Ferreira, N.Given multiple identical polyhedral objects and a parallelepiped container, how should one place the objects so that the largest number fits inside the container? This simple question is important in many applications, yet the answer is elusive. In fact, we know of no published solution for this very general formulation. Still, in many circumstances, further restrictions apply, resulting in a large number of variations requiring different algorithmic strategies. This paper is the continuation of [12] and focus on the fundamental concepts and tools that are used for this kind of problem, such as the no-fit polygon. We also present some of its many variations, giving in particular one that applies to the stereolithographic rapid prototyping technology.
- Finite orbit decomposition of endomapsPublication . Martins-Ferreira, N.; Gaspar, M.In this work we present a vectorized Matlab algorithm for the decomposition of an endomap into its finite orbits.