Browsing by Subject "Voronoi"
Now showing 1 - 3 of 3
Results Per Page
Sort Options
Item A framework for spatio-temporal querying amongst mobile devices(2012-05) Cochran, Benjamin Mark, 1982-; Julien, Christine; Bard, WilliamWith mobile web browsers holding around eight percent of the global browser market share in terms of usage, web development for these platforms is becoming critically important as usage moves from the desktop towards mobile devices. Recent advances in client side browser technology like HTML5 and WebSockets have allowed web browser applications to approach feature parity with thick client desktop applications. This paper explores the possibility of a real-time online multiplayer game playable from just a mobile device's web browser. It does not focus on gameplay or graphics, rather it focuses on the backend infrastructure needed to support such a game. The framework devised to support this sort of interaction, Marionette, is well suited towards addressing sharing of location-specific, short-lived information between people using their smartphones without the use of any external software or proprietary software packages on the client side.Item Non-dynamical quantum trajectories(2010-12) Coffey, Timothy Michael, 1970-; Schieve, W. C.; Wyatt, Robert E. (Robert Eugene); Berk, Herbert L.; Reichl, Linda E.; Sudarshan, E. C. GeorgeCommonly held opinion is that particle trajectory descriptions are incompatible with quantum mechanics. Louis de Broglie (1926) first proposed a way to include trajectories in quantum mechanics, but the idea was abandoned until David Bohm (1952) re-invented and improved the theory. Bohm interprets the particle trajectories as physically real; for example, an electron actually is a particle moving on a well defined trajectory with a position and momentum at all times. By design, Bohm's trajectories never make predictions that differ from standard quantum mechanics, and their existence cannot be experimentally verified. Three new methods to obtain Bohm's particle trajectories are presented. The methods are non-dynamical, and utilize none of Bohm's equations of motion; in fact, two of the methods have no equations for a particle's trajectory. Instead, all three methods use only the evolving probability density ρ=ψ*ψ to extract the trajectories. The first two methods rest upon probability conservation and density sampling, while the third method employs the informational or geometrical construction of centroidal Voronoi tessellations. In one-dimension all three methods are proved to be equivalent to Bohm's particle trajectories. For higher dimensional configuration spaces, the first two methods can be used in limited situations, but the last method can be applied in all cases. Typically, the resulting higher dimensional non-dynamical trajectories are also identical to Bohm. Together the three methods point to a new interpretation of Bohm's particle trajectories, namely, the Bohm trajectories are simply a kinematic portrayal of the evolution of the probability density. In addition, the new methods can be used to measure Schrödinger's wave function and Planck's constant.Item Scales and Scale-like Structures(2011-08-08) Landreneau, Eric BenjaminScales are a visually striking feature that grows on many animals. These small, rigid plates embedded in the skin form an integral part of our description of ?sh and reptiles, some plants, and many extinct animals. Scales exist in many shapes and sizes, and serve as protection, camou?age, and plumage for animals. The variety of scales and the animals they grow from pose an interesting problem in the ?eld of Computer Graphics. This dissertation presents a method for generating scales and scale-like structures on a polygonal mesh through surface replacement. A triangular mesh was covered with scales and one or more proxy-models were used as the scales shape. A user began scale generation by drawing a lateral line on the model to control the distribution and orientation of scales on the surface. Next, a vector ?eld was created over the surface to control an anisotropic Voronoi tessellation, which represents the region occupied by each scale. Then these regions were replaced by cutting the proxy model to match the boundary of the Voronoi region and deform the cut model onto the surface. The ?nal result is a fully connected 2-manifold that is suitable for subsequent post-processing applications, like surface subdivision.