Animated 3D visualization of super multivariate equations

摘要

A method and system are provided for performing animated 3D visualization of super multivariate equations. Rendered 3D surfaces representing super multivariate equations are animated by user modification of higher order variables to the equations. The higher order independent variables are independent variables, which are not represented in the X-axis (horizontal) or the Z-axis (depth into the screen) of the rendered 3D surfaces. The rendered 3D surfaces represent the equation's dependent variable displayed in the Y-axis (vertical) plotted against two of the independent variables (rendered variables) of the equation displayed in the X-axis and the Z-axis. Animation of a surface is in response to modification of higher order independent variables (those variables not rendered in the X-axis and the Z-axis. Modification is accomplished using user interface elements, which modify values of the higher order variables of the super multivariate equation. Modified higher order variables are used to calculate new surface coordinates, which are then rendered to the display device replacing the previous surface and creating the effect of interactive animation. User interface elements are also provided to adjust the position of visible, movable markers on the surfaces. Digital read-outs display the value of the dependent variable and selected independent variables at marked points on the surfaces