Spherical DCB-spline surfaces with hierarchical and adaptive knot insertion. Academic Article

abstract

• This paper develops a novel surface fitting scheme for automatically reconstructing a genus-0 object into a continuous parametric spline surface. A key contribution for making such a fitting method both practical and accurate is our spherical generalization of the Delaunay configuration B-spline (DCB-spline), a new non-tensor-product spline. In this framework, we efficiently compute Delaunay configurations on sphere by the union of two planar Delaunay configurations. Also, we develop a hierarchical and adaptive method that progressively improves the fitting quality by new knot-insertion strategies guided by surface geometry and fitting error. Within our framework, a genus-0 model can be converted to a single spherical spline representation whose root mean square error is tightly bounded within a user-specified tolerance. The reconstructed continuous representation has many attractive properties such as global smoothness and no auxiliary knots. We conduct several experiments to demonstrate the efficacy of our new approach for reverse engineering and shape modeling.

authors

• Li, Xin

published proceedings

• IEEE Trans Vis Comput Graph

altmetric score

• 3

author list (cited authors)

• Cao, J., Li, X., Chen, Z., & Qin, H.

citation count

• 10

complete list of authors

• Cao, Juan||Li, Xin||Chen, Zhonggui||Qin, Hong

publication date

• August 2012

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Visualization and Computer Graphics  Journal

keywords

• Delaunay Configurations
• Knot Insertion
• Knot Placement
• Non-tensor-product B-splines
• Spherical Splines

Digital Object Identifier (DOI)

• 10.1109/TVCG.2011.156

start page

• 1290

end page

• 1303

volume

• 18

issue

• 8

URL

• http://dx.doi.org/10.1109/tvcg.2011.156