@article{Li_Peters_Marsh_Jordan_2012, title={Computational Topology Counterexamples with 3D Visualization of Bézier Curves}, volume={13}, url={https://polipapers.upv.es/index.php/AGT/article/view/1624}, DOI={10.4995/agt.2012.1624}, abstractNote={For applications in computing, Bézier curves are pervasive and are defined by a piecewise linear curve L which is embedded in R3 and yields a smooth polynomial curve C embedded in R3. It is of interest to understand when L and C have the same embeddings. One class ofc ounterexamples is shown for L being unknotted, while C is knotted. Another class of counterexamples is created where L is equilateral and simple, while C is self-intersecting. These counterexamples were discovered using curve visualizing software and numerical algorithms that produce general procedures to create more examples.}, number={2}, journal={Applied General Topology}, author={Li, Ji and Peters, T. J. and Marsh, D. and Jordan, K. E.}, year={2012}, month={Oct.}, pages={115–134} }