Local Injectivity Conditions of 2D and 3D Uniform Cubic B-Spline Functions

  title={Local Injectivity Conditions of 2D and 3D Uniform Cubic B-Spline Functions},
  author={Yongchoel Choi and Seungyong Lee},
  booktitle={Pacific Conference on Computer Graphics and Applications},
Uniform cubic B-spline functions have been used for mapping functions in various areas such as image warping and morphing, 3D deformation, and volume morphing. The injectivity (one-to-one property) of a mapping function is important to obtain good results in these areas. This paper considers the local injectivity conditions of 2D and 3D uniform cubic B-spline functions. We propose a geometric interpretation of the local injectivity of a uniform cubic Bspline function, with which 2D and 3D cases… CONTINUE READING

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