The FanGrower algorithm proposed here segments a manifold triangle mesh into regions (called caps), which may each be closely approximated by a triangle-fan. Once the caps are formed, their rims, which form the inter-cap boundaries, are simplified, replacing each fan by its frame—a fan with the same apex but fewer triangles. The resulting collection of frames is an approximation of the original...

In the context of a simple model of public good provision, we study the requirement on an allocation rule that it be immune to manipulation by augmenting one’s endowment through borrowing from the outside world. We call it open-economy borrowing-proofness (Thomson, 2009). We ask whether the Lindahl rule satisfies the property. The answer is yes on both the domain of quasi-linear economies and o...

louis hubert farabeuf was born in bannost (sein-et-marne) on may 6th 1841 and died in beton-bazoche (aisne) in august 1910. he was professor and director of the anatomical department of the faculty of medicine in paris until 1878. in 1879, he founded the school of practical studies in paris, which contributed to anatomical studies. farabeuf designed many surgical procedures. his manual of opera...

In this paper, we introduce the notion of co-annihilator of a subsetin a triangle algebra. It is shown that the co-annihilator of asubset is an interval valued residuated lattice (IVRL)-filter. Also, aspecial set of a triangle algebra is defined and the relationshipbetween this set and co-annihilator of a subset in triangle algebrais considered. Finally, co-annihilators preserving congruencerel...

To a simple graph $G=(V,E)$, we correspond a simple graph $G_{triangle,square}$ whose vertex set is ${{x,y}: x,yin V}$ and two vertices ${x,y},{z,w}in G_{triangle,square}$ are adjacent if and only if ${x,z},{x,w},{y,z},{y,w}in Vcup E$. The graph $G_{triangle,square}$ is called the $(triangle,square)$-edge graph of the graph $G$. In this paper, our ultimate goal is to provide a link between the ...

In this paper, we attempt to reveal the precise relation between the error of linear interpolation on a general triangle and the geometric characters of the triangle. Taking the model problem of interpolating quadratic functions, we derive two exact formulas for the H1-seminorm and L2-norm of the interpolation error in terms of the area, aspect ratio, orientation, and internal angles of the tri...

The M -triangle of a ranked locally finite poset P is the generating function P u,w∈P μ(u,w)x rk uyrk w, where μ(., .) is the Möbius function of P . We compute the M triangle of Armstrong’s poset of m-divisible non-crossing partitions for the root systems of type E7 and E8. For the other types exceptDn this had been accomplished in the earlier paper “The F -triangle of the generalised cluster c...