Abstract: A method is for inverting a distorted surface presentation into an undistorted surface presentation in a detail-in-context presentation system including the steps of: selecting an input point on the undistorted surface; calculating a vector from the input point to a reference viewpoint; locating a starting point lying above the distorted surface and on the vector; locating a first bracketing point for a first intersection point of the vector and the distorted surface lying above the distorted surface and on the vector; locating a second bracketing point for the first intersection point lying below the distorted surface, and below the first intersection point, but above any subsequent intersection points of the vector and the distorted surface; locating a midpoint between the first and second bracketing points; and, determining if the midpoint is an acceptable approximation for the first intersection point thus being an inversion point corresponding to the input point.

Abstract: In a data processing system that executes a program of instructions, a method of inverting a distorted surface in a detail-in-context presentation is provided comprising the steps of locating a first approximation point in an undistorted surface for the inversion of a point in a distorted surface, determining if the approximation point is acceptable as an inversion of the point in the distorted surface, locating a next approximation point in the undistorted surface if the first approximation point is not acceptable, and repeating this process until an acceptable approximation point is located for the inversion of the point in the distorted surface. The use of this method to obtain the distance between points on an undistorted surface from the relative distances between corresponding points on a plurality of distorted surfaces in a detail-in-context presentation is provided.

Abstract: In a data processing system that executes a program of instructions, a method of inverting a distorted surface in a detail-in-context presentation is provided comprising the steps of locating a first approximation point in an undistorted surface for the inversion of a point in a distorted surface, determining if the approximation point is acceptable as an inversion of the point in the distorted surface, locating a next approximation point in the undistorted surface if the first approximation point is not acceptable, and repeating this process until an acceptable approximation point is located for the inversion of the point in the distorted surface. The use of this method to obtain the distance between points on an undistorted surface from the relative distances between corresponding points on a plurality of distorted surfaces in a detail-in-context presentation is provided.

Abstract: An improved method for display of a transitional region of interest while transitioning between a first region of interest and a second region of interest within visual information on a display screen of a computer. The method comprising the steps of applying a transitional transformation to the visual information and displaying the transitional transformed visual information on the display screen. The transitional transformation requiring a reduced calculation for transforming the visual information in the transitional region.

Abstract: In a data processing system that executes a program of instructions, a method of inverting a distorted surface in a detail-in-context presentation is provided comprising the steps of locating a first approximation point in an undistorted surface for the inversion of a point in a distorted surface, determining if the approximation point is acceptable as an inversion of the point in the distorted surface, locating a next approximation point in the undistorted surface if the first approximation point is not acceptable, and repeating this process until an acceptable approximation point is located for the inversion of the point in the distorted surface. The use of this method to obtain the distance between points on an undistorted surface from the relative distances between corresponding points on a plurality of distorted surfaces in a detail-in-context presentation is provided.