2 citations · 2 across the 3 of their papers we have counts for
7 papers
On Reconstructing Configurations of Points in from a Joint Distribution of Invariants
Mireille Boutin, Gregor Kemper
Consider the diagonal action of the projective group $\PGL_3$ on copies of . In addition, consider the action of the symmetric group by permuting the copie…
Which Point Configurations are Determined by the Distribution of their Pairwise Distances?
Mireille Boutin, Gregor Kemper
In a previous paper we showed that, for any , most sets of points in $\RR^m$ are determined (up to rotations, reflections, translations and relabeling of the points)…
On reconstructing n-point configurations from the distribution of distances or areas
Mireille Boutin, Gregor Kemper
One way to characterize configurations of points up to congruence is by considering the distribution of all mutual distances between points. This paper deals with the question if p…
Structure from Motion: Theoretical Foundations of a Novel Approach Using Custom Built Invariants
Pierre-Louis Bazin, Mireille Boutin
We rephrase the problem of 3D reconstruction from images in terms of intersections of projections of orbits of custom built Lie groups actions. We then use an algorithmic method ba…
Polygon Recognition and Symmetry Detection
Mireille Boutin
We introduce an approach based on moving frames for polygon recognition and symmetry detection. We present detailed algorithms for recognition of polygons modulo the special Euclid…
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…