Ex parte LATHAM - Page 2




              Appeal No. 1998-0426                                                                                        
              Application No. 08/307,028                                                                                  


                                                    BACKGROUND                                                            

                     The appellant's invention relates to a computer-implemented method of rendering                      
              an image of smoke.  An understanding of the invention can be derived from a reading of                      
              exemplary claim 1, which is reproduced below.                                                               
              1.     A computer-implemented method of rendering an image of smoke or clouds in an                         
              image generator for display of pixels on a display device, said method comprising the                       
              steps of:                                                                                                   
                     modeling the smoke as a sphere having nonuniform smoke density, and that                             
                     is comprised of a center point in three-dimensional model space, a radius,                           
                     and set of parameters defining its nonuniform density and color;                                     
                     transforming the center point to screen coordinates;                                                 
                     transforming the radius to a screen coordinate radius;                                               
                     generating a bounding polygon that surrounds a projection of the sphere in                           
                     screen coordinates;                                                                                  
                     clipping the bounding polygon to boundaries of the display device; and                               
                     for each pixel in the image, rendering a smoke effect by:                                            
                            testing if the pixel is within the bounding polygon;                                          
                            computing an equivalent translucency factor for the smoke at the pixel                        
                            based upon location of the pixel with respect to the transformed                              
                            center point, the screen coordinate radius, the set of parameters                             
                            defining its nonuniform density and color, and penetration depth                              
                            through the smoke; and                                                                        
                            computing the smoke effect for the pixel based upon the equivalent                            
                            translucency factor.                                                                          


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