The Gröbner basis method is a powerful tool in automated geometry theorem proving. Normally, one works in the ring of coordinates of the points in a p.
The main result of this paper is a straightening algorithm for invariants of the group of Euclidean isometries that operates in the ring of polynomial functions ...
This work presents a new straightening algorithm for Euclidean invariants and proves the first and second fundamental theorems of vector invariants for the ...
Feb 21, 2011 · A super-simple answer is that curvature is not scale-invariant. A curved object, when you look at it at smaller and smaller scales tends to look flat.
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Jul 1, 2020 · Polynomial invariants for robot manipulators and their joints arise from the adjoint action of the Euclidean group on its Lie algebra, the space ...
Mar 22, 2013 · For example, the property of being a straight line is a geometric property in Euclidean geometry. Note that the question whether or not a ...
The algebra of Euclidean differential invariants is generated by the mean curvature alone through invariant differentiation. In particular, the Gauss curvature ...
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In Euclidean geometry, an affine transformation or affinity is a geometric transformation that preserves lines and parallelism, but not necessarily ...
This work presents a new straightening algorithm for Euclidean invariants and proves the first and second fundamental theorems of vector invariants for the ...
Jan 4, 2013 · The aim of this monograph is to provide an introduction to some fundamental problems, results and algorithms of invariant theory. The focus will ...