Hyperslice visualization of scalar functions of many variables
J.J. vanWijk, R. vanLiere · 1994
HyperSlice is a new method for the visualization of scalar functions of many variables. With this method the multi-dimensional function is presented in a simple and easy to understand way in which all dimensions are treated identically. The central concept is the representation of a multi-dimensional function as a matrix of orthogonal two-dimensional slices. These two-dimensional slices lend themselves very well to interaction via direct manipulation, due to a one to one relation between screen space and variable space. Several interaction techniques, for navigation, the location of maxima, and the use of user-defined paths, are presented. 1 Introduction 1.1 Problem Scalar functions of several variables are often used in science and engineering. These functions can be denoted as f(x) = f(x 1 ; x 2 ; : : : ; xn\\Gamma1 ; xN ), where x is a point in N-dimensional space, and x i is a variable of the i-th dimension. Scalar functions can be analytically defined, or can be the result of a ...