Every knot bounds an immersed disk in S^{3} whose singular set consists only of clasps.
The 3D-Clasp Number is the minimum number of clasps in such a disk.

[1] Kadokami, T. and Kawamura, K., "An infinite family of prime knots with a certain property for the clasp number," J, Knot Theory and its Ramifications, 23 (2014), 1450071.

Thanks go to Noboru Ito for his assistance in adding the 3D-clasp number to KnotInfo.