TY - GEN
T1 - Generalized PolyCube trivariate splines
AU - Li, Bo
AU - Li, Xin
AU - Wang, Kexiang
AU - Qin, Hong
PY - 2010
Y1 - 2010
N2 - 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 domain, GPC has more powerful and flexible representation ability. We develop an effective framework that parameterizes a solid model onto a topologically equivalent GPC domain, and design a hierarchical fitting scheme based on trivariate T-splines. The entire data-spline-conversion modeling framework provides high-accuracy data fitting and greatly reduce the number of superfluous control points. It is a powerful toolkit with broader application appeal in shape modeling, engineering analysis, and reverse engineering.
AB - 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 domain, GPC has more powerful and flexible representation ability. We develop an effective framework that parameterizes a solid model onto a topologically equivalent GPC domain, and design a hierarchical fitting scheme based on trivariate T-splines. The entire data-spline-conversion modeling framework provides high-accuracy data fitting and greatly reduce the number of superfluous control points. It is a powerful toolkit with broader application appeal in shape modeling, engineering analysis, and reverse engineering.
KW - Generalized PolyCube
KW - Trivariate spline
KW - Volumetric parameterization
UR - https://www.scopus.com/pages/publications/77956421979
U2 - 10.1109/SMI.2010.40
DO - 10.1109/SMI.2010.40
M3 - Conference contribution
AN - SCOPUS:77956421979
SN - 9780769540726
T3 - SMI 2010 - International Conference on Shape Modeling and Applications, Proceedings
SP - 261
EP - 265
BT - SMI 2010 - International Conference on Shape Modeling and Applications, Proceedings
T2 - International Conference on Shape Modeling and Applications - Shape Modeling International Conference, SMI 2010
Y2 - 21 June 2010 through 23 June 2010
ER -