Computational Assessment of Curvatures and Principal Directions of Implicit Surfaces from 3D Scalar Data

  title={Computational Assessment of Curvatures and Principal Directions of Implicit Surfaces from 3D Scalar Data},
  author={Eric Albin and Ronnie Knikker and Shihe Xin and Christian Oliver Paschereit and Yves D’Angelo},
An implicit method based on high-order differentiation to determine the mean, Gaussian and principal curvatures of implicit surfaces from a three-dimensional scalar field is presented and assessed. The method also determines normal vectors and principal directions. Compared to explicit methods, the implicit approach shows robustness and improved accuracy to measure curvatures of implicit surfaces. This is evaluated on simple cases where curvature is known in closed-form. The method is applied… 

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