15 citations · 49 across the 23 of their papers we have counts for
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math-ph2012★ 5 cited
The Pascal Triangle of a Discrete Image: Definition, Properties and Application to Shape Analysis
Mireille Boutin, Shanshan Huang
We define the Pascal triangle of a discrete (gray scale) image as a pyramidal arrangement of complex-valued moments and we explore its geometric significance. In particular, we sho…
math-ph2000★ 15 cited
On orbit dimensions under a simultaneous Lie group action on n copies of a manifold
Mireille Boutin
We show that the maximal orbit dimension of a simultaneous Lie group action on n copies of a manifold does not pseudo-stabilize when n increases. We also show that if a Lie group a…
math-ph1999★ 9 cited
Numerically Invariant Signature Curves
Mireille Boutin
Corrected versions of the numerically invariant expressions for the affine and Euclidean signature of a planar curve proposed by E.Calabi et. al are presented. The new formulas are…