Beta-connection: an approach to generate families of models from planar sections

Alex Jesus Quadros VargasLuis Gustavo NonatoRosane MinghimMaria Cristina F. de Oliveira

A new three-dimensional reconstruction technique is presented that uses a control parameter, denoted b, to produce a family of models from a given set of planar cross-sections. Parameter b supports multiple choices for solving the correspondence problem, i.e., the problem of deciding which regions from two consecutive cross-sections must be connected into a single component. Thus, unlike current reconstruction methods, the beta-connection algorithm enables the consideration of multiple alternatives when establishing region correspondence. In addition to this flexibility, which is useful in creating models with complex topologies, the algorithm produces PL-manifolds and respects the re-sampling condition, thus providing an interesting reconstruction solution for many practical visualization and numerical simulation applications.

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