Abel J. P. Gomes

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Computing molecular surfaces is important to measure areas and volumes of molecules, as well as to infer useful information about interactions with other molecules. Over the years many algorithms have been developed to triangulate and to render molecular surfaces. However, triangulation algorithms usually are very expensive in terms of memory storage and(More)
This paper is concerned with the mathematics and formal specification of " set-like " operations for the mixed dimension cellular objects of the Djinn Application Programming Interface. The relationships between these operations and stratifications of dimensionally heterogeneous semi-analytic point-sets are uncovered and formalised. Semianalytic geometry is(More)
The major purpose of this paper is to introduce a general theory within which previous boundary representations (B-reps) are a special case. Basically, this theory combines sub-analyt,ic geometry and theory of stratifications. The sub-analyt,ic geometry covers almost, all geometric engineering artefacts, and it is a generalisation of the semi-analytic(More)
This paper presents a new edge collapsing-based simplification algorithm for meshes. It is based on the variation of the vectors that are normal to faces around the collapsing edge. Its main novelty is that it uses the same criterion to choose and validate the collapsing edge. Besides, at the best knowledge of the authors, it is the fastest simplification(More)
This paper introduces a concise and responsiveness data structure, called AIF (Adjacency and Incidence Framework), for multiresolution meshes, as well as a new simplification algorithm based on the planarity of neighboring faces. It is an optimal data structure for polygonal meshes, manifold and non-manifold, which means that a minimal number of direct and(More)