IEEE Trans Vis Comput Graph - Surface Mesh to Volumetric Spline Conversion with Generalized Poly-cubes.

Tópicos

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Resumo

This paper develops a novel volumetric parameterization and spline construction framework, which is an effective modeling tool for converting surface meshes to volumetric splines. Our new splines are defined upon a novel parametric domain called generalized poly-cubes (GPCs). A GPC comprises a set of regular cube domains topologically glued together. Compared with conventional poly-cubes (CPCs), GPC is much more powerful and flexible and has improved numerical accuracy and computational efficiency when serving as a parametric domain. We design an automatic algorithm to construct the GPC domain while also permitting the user to improve shape abstraction via interactive intervention. We then parameterize the input model on the GPC domain. Finally, we devise a new volumetric spline scheme based on this seamless volumetric parameterization. With a hierarchical fitting scheme, the proposed splines can fit data accurately using reduced number of superfluous control points. Our volumetric modeling scheme has great potential in shape modeling, engineering analysis, and reverse engineering applications.

Resumo Limpo

paper develop novel volumetr parameter spline construct framework effect model tool convert surfac mesh volumetr spline new spline defin upon novel parametr domain call general polycub gpcs gpc compris set regular cube domain topolog glu togeth compar convent polycub cpcs gpc much power flexibl improv numer accuraci comput effici serv parametr domain design automat algorithm construct gpc domain also permit user improv shape abstract via interact intervent parameter input model gpc domain final devis new volumetr spline scheme base seamless volumetr parameter hierarch fit scheme propos spline can fit data accur use reduc number superflu control point volumetr model scheme great potenti shape model engin analysi revers engin applic

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