This paper presents a new objective metric for assessing the visual difference between a reference or ‘perfect’ mesh and its distorted version. The proposed metric is based on the measurement of a distance between curvature tensors of the two triangle meshes under comparison. Unlike existing methods, our algorithm uses not only eigenvalues but also eigenvectors of the curvature tensor to derive...

Let $A$ be a Banach algebra and $E$ be a Banach $A$-bimodule then $S = A oplus E$, the $l^1$-direct sum of $A$ and $E$ becomes a module extension Banach algebra when equipped with the algebras product $(a,x).(a^prime,x^prime)= (aa^prime, a.x^prime+ x.a^prime)$. In this paper, we investigate $triangle$-amenability for these Banach algebras and we show that for discrete inverse semigroup $S$ with...