In this paper, we present algorithms for computing approximate hulls and centerpoints for collections of matrices in positive definite space. There are many applications where the data under consideration, rather than being points in a Euclidean space, are positive definite (p.d.) matrices. These applications include diffusion tensor imaging in the brain, elasticity analysis in mechanical engin...

This paper describes a method for generating visual hull models of 3D objects from digital images. The method can use one or more cameras in different setups to acquire various views of an object. From the generated images, 2D objects are segmented out giving the objects silhouettes. The silhouettes are projected into 3D space to create an estimate of the upper bound to the structure of the obj...

In this paper, we present algorithms for computing approximate hulls and centerpoints for collections of matrices in positive definite space. There are many applications where the data under consideration, rather than being points in a Euclidean space, are positive definite (p.d.) matrices. These applications include diffusion tensor imaging in the brain, elasticity analysis in mechanical engin...

We show that the space of subprobability measures, equivalently continuous valuations, on an algebraic (resp., continuous) complete quasi-metric is again and complete, when equipped with Kantorovich-Rubinstein quasi-metrics dKR (unbounded) or dKRa (bounded), themselves asymmetric forms well-known metric. also dKR-Scott dKRa-Scott topologies then coincide weak topology. obtain similar results fo...

We study here $T_{0}$-$Q$-bitopological spaces and sober $Q$-bitopological spaces and their relationship with two particular Sierpinski objects in the category of $Q$-bitopological spaces. The epireflective hulls of both these Sierpinski objects in the category of $Q$-bitopological spaces turn out to be the category of $T_0$-$Q$-bitopological spaces. We show that only one of these Sierpinski ob...

Scott Chuprun, Chad S. Bergstrom Motorola Space and Systems Technology Group

this study was conducted to assess the in vitro organic matter digestibility (omd) of pistachio hull using rumen fluid of taleshi sheep. animals were fed diets composed of 34% pistachio hull, 29% grape pomace, 32% alfalfa, and 5% grain barley. the chemical composition and phenolics' levels of pistachio hull, either industrially dried pistachio hull (idph) or sun dried pistachio hull (sdph)...

In this paper we determine the computational complexity of the dynamic convex hull problem in the planar case. We present a data structure that maintains a finite set of n points in the plane under insertion and deletion of points in amortized O(logn) time per operation. The space usage of the data structure is O(n). The data structure supports extreme point queries in a given direction, tangen...

In this paper we address the problem of computing a minimal H-representation of the convex hull of the union of k H-polytopes in R. Our method applies the reverse search algorithm to a shelling ordering of the facets of the convex hull. Efficient wrapping is done by projecting the polytopes onto the two-dimensional space and solving a linear program. The resulting algorithm is polynomial in the...

Recently introduced invariants copoint pre-hull number and convex pre-hull number are both numerical measures of nonconvexity of a graph G that is a convex space. We consider in this work both on the Cartesian and the strong product of graphs. Exact values in terms of invariants of the factors are presented for the first mentioned product. For strong product it is shown that such a result does ...