PMC

Convex B-spline surface: (a) Control mesh of a spline surface without regularization. (b) Control mesh of the same spline surface after regularization. (c) Spline surface mesh without regularization. (d) Spline surface mesh after regularization.

Fitting procedure for the unordered PSF. (a) B-spline curve approximations in u-direction; (b) B-spline curve approximations in v-direction; (c) Fitted B-spline surface for the unordered PSF and the SLPC.

Comparison of fitting strategies for a simple 2-D scattered point set example. (a) Set of 25 scattered data points. (b) Highly localized approximation using a single level 32 × 32 element B-spline mesh. (c) Approximation by a hierarchy of B-spline mesh resolutions starting from a single B-spline mesh element and ending with a 32×32 element B-spline mesh. (d) Superposition of the fitted B-spline mesh from (c) and the fitted surface from (b) to illustrate the discrepancy in solutions.

Visual reconstructions and comparisons for session S1, S2, S3, S4, and S5: for each session of reconstructions, a column lists the 3D results of Kemelmacher and Seitz (), Roth et al. (), and us, as well as ground truth. (VrxNum means vertex number; TempVtxNum means vertex number of template; and Ctrl.Point Num means the control point number of B-spline face surface. Particularly, the vertices of B-spline face are points sampled from the reconstructed parametric surface).