Approximated Planes in Parallel Coordinates

Abstract : For the visualization of multivariate problems, a multidimensional system of Parallel coordinates is used which provides a one-to-one mapping between subsets of N-space and subsets of 2-space. A rigorous methodology for doing and seeing N-dimensional geometry emerges as well as several applications. Here an application to Error Tolerancing involving the visualization and characterization of 'approximate coplanarity' is presented. The exact description of the neighborhood of an N-dimensional hyperplane in a parallel coordinate system is given.