680,920 research outputs found
On moving averages
We show that the moving arithmetic average is closely connected to a
Gauss-Seidel type fixed point method studied by Bauschke, Wang and Wylie, and
which was observed to converge only numerically. Our analysis establishes a
rigorous proof of convergence of their algorithm in a special case; moreover,
limit is explicitly identified. Moving averages in Banach spaces and Kolmogorov
means are also studied. Furthermore, we consider moving proximal averages and
epi-averages of convex functions
Integrating Multiple 3D Views through Frame-of-reference Interaction
Frame-of-reference interaction consists of a unified set of 3D interaction techniques for exploratory navigation of large virtual spaces in nonimmersive environments. It is based on a conceptual framework that considers navigation from a cognitive perspective, as a way of facilitating changes in user attention from one reference frame to another, rather than from the mechanical perspective of moving a camera between different points of interest. All of our techniques link multiple frames of reference in some meaningful way. Some techniques link multiple windows within a zooming environment while others allow seamless changes of user focus between static objects, moving objects, and groups of moving objects. We present our techniques as they are implemented in GeoZui3D, a geographic visualization system for ocean data
Quantization of systems with internal degrees of freedom in two-dimensional manifolds
Presented is a primary step towards quantization of infinitesimal rigid body
moving in a two-dimensional manifold. The special stress is laid on spaces of
constant curvature like the two-dimensional sphere and pseudosphere
(Lobatschevski space). Also two-dimensional torus is briefly discussed as an
interesting algebraic manifold.Comment: 19 page
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