A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
The NURBS book
On the curvature of curves and surfaces defined by normalforms
Computer Aided Geometric Design
Point inversion and projection for NURBS curve and surface: control polygon approach
Computer Aided Geometric Design
Computer Vision and Image Understanding
A second order algorithm for orthogonal projection onto curves and surfaces
Computer Aided Geometric Design
Improved algorithms for the projection of points on NURBS curves and surfaces
Computer Aided Geometric Design
A counterexample on point inversion and projection for NURBS curve
Computer Aided Geometric Design
Algorithm for orthogonal projection of parametric curves onto B-spline surfaces
Computer-Aided Design
Efficient point projection to freeform curves and surfaces
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
Efficient point-projection to freeform curves and surfaces
Computer Aided Geometric Design
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This paper proposes a second order geometric iteration algorithm for point projection and inversion on parametric surfaces. The iteration starts from an initial projection estimation. In each iteration, we construct a second order osculating torus patch to the parametric surface at the previous projection. Then we project the test point onto the torus patch to compute the next projection and its parameter. This iterative process is terminated when the parameter satisfies the required precision. Experiments demonstrate the convergence speed of our algorithm.