Fitting B-Spline Curves to Point Clouds by Squared Distance Minimization

  title={Fitting B-Spline Curves to Point Clouds by Squared Distance Minimization},
  author={Wenping Wang and Helmut Pottmann and Yang Liu},
Computing a curve to approximate data points is a problem encountered frequently in many applications in computer graphics, computer vision, CAD/CAM, and image processing. We present a novel and efficient method, called squared distance minimization (SDM), for computing a planar B-spline curve, closed or open, to approximate a target shape defined by a point cloud, i.e., a set of unorganized, possibly noisy data points. We show that SDM outperforms significantly other optimization methods used… CONTINUE READING
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