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Scattered Data Approximation with Kinematic Surfaces

Citation:
In-Kwon Lee, Johannes Wallner, and Helmut Pottmann, "Scattered Data Approximation with Kinematic Surfaces", In Proceedings of Workshop on Sampling Theory and Applications (SAMPTA) 1999, pp. 72-77, 1999, 1999
Abstract:
we presented various algorithms to reconstruct surfaces generated by kinematic motions as well as a technique to reconstruct a smooth curve from a point cloud. Further interesting topics are the treatment of other subgroups of the group of affine motions, especially those with algebraic trajectories. The segmentation of data point clouds into subsets which fit well to kinematic surfaces is a tricky problem which is still being investigated.