SMI 2012: Short A revisit to fitting parametric surfaces to point clouds

Authors:
Pengbo Bo;Ruotian Ling;Wenping Wang
Affiliations:
The University of Hong Kong, Hong Kong and Harbin Institute of Technology at Weihai, China;The University of Hong Kong, Hong Kong;The University of Hong Kong, Hong Kong
Venue:
Computers and Graphics
Year:
2012

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Abstract

We study the performance of algorithms for freeform surface fitting when different error terms are used as quadratic approximations to the squared orthogonal distances from data points to the fitting surface. We review the TD error term and the SD error term in surface fitting to point clouds, present robust surface fitting algorithms using the TD error term and a new variant of the SD error term. We report experimental results on comparing them with the prevailing PD error term in the setting of fitting B-spline surfaces to point cloud data. We conclude that using the TD error term and the SD error term leads to surface fitting algorithms that converge much faster than using the PD error term.