Interactive Web based Grid Geometry Construction

Conventionally, a grid generator requires either explicit or without explicit description about the boundary vertices, boundary lines and boundary faces to define the geometry, whereby a CAD system or an anisotropic grid generation with intersection-based geometry interface can be deployed to generate grids. Whatever the case, this compute intensive process, quite often, has a non-interactive, non-Web-based interface and without instant visualization. While grid generator can be used to generate grid geometry art, any 2D image editing program can also be deployed, nevertheless, the result is a static display of a pixel- or vector-based image. This paper describes an interactive Web-based visualization as a fundamental medium for visualization, one that changes the way grid geometry art are being visualized, developed, generated and delivered. The author first provides relevant background of grid geometry art, discusses several existing methodologies and their inadequacy currently used within the Web environments. She offers a new paradigm -- a Web-based interactive development tool that integrates an interface for exploration, structuring and dissemination of visualization results for grid geometry art. Such is an instant conceptualization and artistic interpretation of an image as an arrangement of an uniform m x n grid of colored cells: quadrilaterals formed within a set of finite orthogonal grids. The parameter-driven algorithm with minimal user setup for "automatic" idea generation provides the tools for constructing De Stijl, Abstraction Geometry -- Concentric Squares geometrical objects from numerical arrays not only makes and manipulates, it distributes geometric shapes over planes, as well as performs color and rectangular shape transformations. The author briefly discusses the tool, demonstrates and renders specific examples of the art thus created as she illustrates the advantages of using a single tool to embrace the structuring and delivery of a garden variety of grid geometry art.