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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 polycubes (GPCs). A GPC comprises a set of regular cube domains topologically glued together. Compared with conventional polycubes (CPCs), the...
With the development of 3D scanning and imaging technologies, large amount of 3D surface and volumetric geometric data have been routinely collected these days. Compared with surface data, volumetric data are usually equipped with rich material, texture, intensity, and other heterogeneous structural information in their interior regions. Effectively visualizing such information can be very important...
This paper develops a new trivariate hierarchical spline scheme for volumetric data representation. Unlike conventional spline formulations and techniques, our new framework is built upon a novel parametric domain called Generalized PolyCube (GPC), comprising a set of regular cubes being glued together. Compared with the conventional PolyCube (PC) that could serve as a "one-piece'' 3-manifold...
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