A new lossless orthogonal simplification method for 3D objects based on bounding structures

作者：Cruz Matias Irving^*; Ayala Dolors

来源：Graphical Models, 2014, 76(4): 181-201.

DOI：10.1016/j.gmod.2014.01.002

• Simplification
• LOD
• Bounding volumes
• Orthogonal polyhedra
• Binary volumes

This paper presents a new approach to simplify 3D binary images and general orthogonal pseudo-polyhedra (OPP). The method is incremental and produces a level-of-detail sequence of OPP, where any object of this sequence bounds the previous objects and, therefore, is a bounding orthogonal approximation of them. The sequence finishes with the axis-aligned bounding box. OPP are encoded using the Extreme Vertices Model, a complete model that stores a subset of their vertices and performs fast Boolean operations. Simplification is achieved by using a new strategy, which relies on the application of 2D Boolean operations. We also present a technique, based on model continuity, for better shape preservation. Finally, we present a data structure to encode in a progressive and loss-less way the generated sequence. Tests with several datasets show that the proposed method produces smaller storage sizes and good quality approximations compared with other methods that also produce bounding objects.

• 出版日期2014