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Normal-Based Interpolating Subdivision for the Geometric Representation of Deformable Models

L. Romani, A. Badoual, M. Unser

Proceedings of the Sixteenth IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI'19), Venice, Italian Republic, April 8-11, 2019, pp. 1839-1843.



We review the normal-based interpolating subdivision scheme proposed in [1]. We show that it allows the user to exactly represent circles/spheres whenever suitable initial data are provided, and we also prove that it enjoys the property of similarity invariance. In summary, we show that it satisfies all the requirements for the construction of a deformable model to be used in the delineation of biomedical images. We then also present experimental examples dealing with the delineation of 2D and 3D biological structures.

References

  1. M. Aihua, L. Jie, C. Jun, "A New Fast Normal-Based Interpolating Subdivision Scheme by Cubic Bézier Curves," The Visual Computer, vol. 32, no. 9, pp. 1085-1095, September 2016.


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