A Lattice Model for Data Display

We will try to address the need for a formal foundation for visualization by taking an analytic approach to defining D. Since an arbitrary function D: U V will not produce displays D(u) that effectively communicate the information content of data objects u U, we seek to define conditions on D to ensure that it does. For example, we may require that D be injective (i.e., one-to-one), so that no two data objects have the same display. However, this is clearly not enough. If we let U and V both be the set of images of 512 by 512 pixels with 24 bits of color per pixel, then any permutation of U can be interpreted as an injective function D from U to V. But an arbitrary permutation of images will not effectively communicate information. Thus we need to define stronger conditions on the function D. Our investigation depends on some complex mathematics, although we will only present the conclusions in this paper. The details are available in [7]. In order to develop a foundation for visuali...

• Type: Conference
• Year: 1994
• Where: VISUALIZATION
• Authors: William L. Hibbard, Charles R. Dyer, Brian E. Paul
• Keywords: Arbitrary Function D, Data Objects, Function D, Visualization, VISUALIZATION 1994