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

@article{Choi2000InjectivityCO,
  title={Injectivity Conditions of 2D and 3D Uniform Cubic B-Spline Functions},
  author={Yongchoel Choi and Seungyong Lee},
  journal={Graphical Models},
  year={2000},
  volume={62},
  pages={411-427}
}
Uniform cubic B-spline functionshave beenusedfor mappingfunctionsin various areassuch as imagewarping andmorphing,3D deformation,andvolumemorphing. Theinjectivity (one-to-oneproperty)of a mappingfunction is importantto obtaingoodresultsin theseareas.Thispaper considersthelocal injectivity conditionsof 2D and3D uniformcubicB-splinefunctions.We proposea geometric interpretationof the local injectivity of a uniformcubicBsplinefunction,with which 2Dand3Dcasescanbehandled in a similar way. Basedon… CONTINUE READING
Highly Influential
This paper has highly influenced 15 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS