2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.NA2016
Elastic Splines II: unicity of optimal s-curves and regularity of splines
Albert Borbely, Michael J. Johnson
Given points in the complex plane, we are concerned with the problem of finding an interpolating curve with minimal bending energy (i.e., an optimal interpolat…
math.MG2014★ 2 cited
On the Conjectures Regarding the 4-Point Atiyah Determinant
Mazen N. Bou Khuzam, Michael J. Johnson
For the case of 4 points in Euclidean space, we present a computer aided proof of Conjectures II and III made by Atiyah and Sutcliffe regarding Atiyah's determinant along with an e…
math.NA2013
Elastic Splines I: Existence
Albert Borbely, Michael J. Johnson
Given interpolation points in the plane, it is known that there does not exist an interpolating curve with minimal bending energy, unless the given points lie…