58 citations · 428 across the 34 of their papers we have counts for
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math.DG2005
Pre-Symmetry Sets of 3D shapes
Andre Diatta, Peter J. Giblin
The investigation of 3D euclidean symmetry sets (SS) and medial axis is an important area, due in particular to their various important applications. The pre-symmetry set of a surf…
math.DG2005★ 4 cited
Level sets of functions and symmetry sets of smooth surface sections
Andre Diatta, Peter Giblin, Brendan Guilfoyle +1
We prove that the level sets of a real C^s function of two variables near a non-degenerate critical point are of class C^[s/2] and apply this to the study of planar sections of sur…
math.DG2005★ 6 cited
Vertices and inflexions of plane sections of surfaces in R^3
Andre Diatta, Peter J. Giblin
We investigate the behaviour of vertices and inflexions on 1-parameter families of curves on smooth surfaces in the 3-space, which include a singular member. In particular, we disc…