A multi-agent formation control task usually consists of two subtasks. The first is to steer the agents to form a desired geometric pattern and the second is to achieve desired collective maneuvers so that the centroid, orientation, scale, and other geometric parameters of the formation can be changed continuously. This paper proposes a novel affine formation maneuver control approach to achiev...

Moir e phenomena occur when two or more images are nonlinearly combined to create a new \superposition image". Moir e patterns are patterns that don't exist in any of the original images but appear in the super-position image as the result of a multiplicative superposition rule. The topic of moir e pattern synthesis deals with creating images that, when superimposed, will reveal certain desired...

Moiré phenomena occur when two or more images are nonlinearly combined to create a new superposition image. Moiré patterns are patterns that do not exist in any of the original images but appear in the superposition image, for example as the result of a multiplicative superposition rule. The topic of moiré pattern synthesis deals with creating images that when superimposed will reveal certain d...

In order to increase antenna placement options on crowded platforms, three methods for synthesizing conformal phased array excitations on curved surfaces were computer programmed and compared: the Alternating Projections method (AP), the Successive Projections method (SP), and the Genetic Algorithm method (GA). The comparison was based on how closely the synthesized patterns conformed to the de...

We report a novel method to pattern the stiffness of an elastomeric nanocomposite by selectively impeding the cross-linking reactions at desired locations while curing. This is accomplished by using a magnetic field to enforce a desired concentration distribution of colloidal magnetite nanoparticles (MNPs) in the liquid precursor of polydimethysiloxane (PDMS) elastomer. MNPs impede the cross-li...

This paper investigates circle patterns with obtuse exterior intersection angles on surfaces of finite topological type. We characterise the images curvature maps and establish several equivalent conditions regarding long time behaviors Chow-Luo's combinatorial Ricci flows for these patterns. As consequences, generalizations pattern theorem are obtained. Moreover, our approach suggests a comput...