suppose $pi:mathcal{a}rightarrow mathcal{b}$ is a surjective unital $ast$-homomorphism between c*-algebras $mathcal{a}$ and $mathcal{b}$, and $0leq aleq1$ with $ain  mathcal{a}$. we give a sufficient condition that ensures there is a proection $pin mathcal{a}$ such that $pi left( pright) =pi left( aright) $. an easy consequence is a result of [l. g. brown and g. k. pedersen, c*-algebras of real...

Abstracr --Solutions for four different pose estimation problems are presented. Closed form least-squares solutions are given to the over constrained ZD-ZD and 3-D-3-D pose estimation problems. A globally convergent iterative technique is given for the 2-D perspective projection-3-D pose estimation problem. A simplified linear solution and a robust solution to the 2-D perspective projection-ZD ...

This paper presents a method for solving the linear semi-implicit immersed boundary equations which avoids the severe time step restriction presented by explicittime methods. The Lagrangian variables are eliminated via a Schur complement to form a purely Eulerian saddle point system, which is preconditioned by a projection operator and then solved by a Krylov subspace method. From the viewpoint...

We consider extrapolated projection methods for solving linear feasibility problems. Both successive and sequential methods of a two-set projection scheme are examined. The best algorithm in the class of algorithms that we considered was an extrapolated sequential method. When this was compared to an interior point method using the CUTEr/Netlib linear programming test problems it was found that...

Dimensionality reduction techniques are the tools of choice for exploring high-dimensional datasets by means of low-dimensional projections. However, even state-of-the-art projection methods fail, up to various degrees, in perfectly preserving the structure of the data, expressed in terms of inter-point distances and point neighborhoods. To support better interpretation of a projection, we prop...

The world point P and the centers of projection of the two cameras identify a plane in space, the epipolar plane of point P. The Figure shows a triangle of this plane, delimited by the two projection rays and by the baseline of the camera pair, that is, the line segment that connects the two centers of projection.1 If the image planes are thought of extending indefinitely, the baseline intersec...

In this paper, we propose a projection based design of near perfect reconstruction QMF banks. An advantage of this method is that additional design specifications are easily implemented by defining new convex sets. To apply convex projection technique, the main difficulty is how to approximate the design specifications by some closed convex sets. In this paper, introducing a notion of Magnitude...

Whether a disturbance will trigger unexpected protection operation to exacerbate the normal operation state or even lead to the unstable state depends on the transient energy that the system gains during the fault period. The paper presents a new gradient projection approach to calculate the critical energy for transient stability assessment of the power system with the protection operation. Th...

The commissure of the inferior colliculus interconnects the left and right sides of the auditory midbrain and provides the final opportunity for interaction between the two sides of the auditory pathway at the subcortical level. Although the functional properties of the commissure are beginning to be revealed, the topographical organization of its connections is unknown. A combination of neuroa...

The relationship between the n-dimensional surfaces of smooth, strictly convex objects and the m-dimensional surfaces of their orthogonal projections, or shadows, is investigated. Our main results concern the relationships between the local properties of the surface at a point and those of its shadow. Specifically, the curvature Hessian of the projection at a boundary point is shown to be simpl...