Loral Federal Systems Company

Mark D Pritt

Thomas B Greening

A method and system for generating an anti-aliased image of a three dimensional surface is described. A point of view of the display screen is specified by an azimuth angle and an elevation angle with respect to the three-dimensional surface. The surface is defined as a two-dimensional array of height values. The projection of a point of the surface to the display plane is performed by applying a rotation based on the azimuth and elevation angles, followed by a parallel projection to the display plane so that, the columns of the surface project to the columns of the display screen. The points of the surface are projected in pairs, starting with the nearest points within a column and proceeding to the farthest points of the column. The grey-level shading (or color) values are accumulated in a one-dimensional array of floating-point variables that store the intensities of the pixels of a column of the display screen. The intensities are accumulated by weighting the grey-level shades (or colors) by the distance between the projected pair of points and by the fractional offsets from the integer-valued pixel locations. Because the grey-level shade of every grid point of the surface contributes to the pixel intensities, aliasing effects within columns of pixels are avoided. Aliasing effects across columns are avoided by the use of intermediate scan lines between the columns of pixels.

Fast display of images of three-dimensional surfaces without aliasing

Interactive graphical attitude maneuver planning computer system for planning satellite attitude maneuvers allows a user to immediately see where star trackers are pointing when the attitude and orbital position of a satellite are varied on the computer system. The computer system includes a graphics display on which the celestial sphere, centered at the satellite rather than the Earth, is projected. The horizontal axis of the display measures the Right Ascension angle, while the vertical axis measures the Declination angle. The display shows, in addition to stars, the region of the sky occluded by the Earth and interference regions around the moon, sun and planets, in which the star trackers should not point, and the fields of view of the star trackers. The attitude of the satellite is adjusted by means of graphical slider bars which vary the roll, pitch and yaw angle rotations. As the slider bars are adjusted, the star trackers move across the sky, and the stars pass through their fields of view, making it immediately obvious to the user where the star trackers are pointing, whether or not they will detect certain stars, and whether or not they will point too closely to the Earth, moon, sun, or planets.

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Frederick, MD, United States of America

Mark D Pritt