Method for determining weighting factors for the color calculation of a color value of texels for a footprint

A method for displaying an image of an object on a display device, the image comprising at least one pixel, the method comprising:

• determining weighting factors for the color calculation of a color value of texels for a footprint covering a plurality of texels in a texel grid, wherein the footprint is a projection of the object, and wherein determining the weighting factors comprises:
• (a) determining form information of the footprint;
• (b) determining edges of the footprint;
• (c) approximating the edges determined in step (b) by a staircase function;
• (d) determining the texels of the texel grid contacted by the staircase function;
• (e) determining a weighting factor for each texel containing a portion of the staircase function depending on a subarea of the respective texel covered by the footprint;
• wherein an enlargement offset (r) is associated with the footprint,
• wherein following step (a), based on the enlargement offset, the footprint is enlarged by offsetting the edges of the footprint to the outside outwardly from the current edge footprints positions by a distance depending on the enlargement offset,
• wherein the offset edges are determined in step (b),
• wherein the offset edges are approximated in step (c) by a staircase function, and
• wherein in step (e) a weighting factor for each texel containing an offset edge is determined depending on the subarea of the respective texel covered by the enlarged footprint;
• and
• displaying an image of said object on said display device wherein said image include the determined texel color values.

A method for displaying an image of an object on a display device, the image comprising at least one pixel, the method comprising:

• determining weighting factors for the color calculation of a color value of texels for a footprint covering a plurality of texels in a texel grid, wherein the footprint is a projection of the object, and wherein determining the weighting factors comprises:
• (a) determining form information of the footprint, wherein an enlargement offset (r) is associated with the footprint;
• (b) determining edges of the footprint;
• (c) approximating the edges determined in step (b) by a staircase function;
• (d) determining the texels of the texel grid contacted by the staircase function;
• and
• (e) determining a weighting factor for each texel containing a portion of the staircase function depending on a subarea of the respective texel covered by the footprint,
• wherein following step (a), based on the enlargement offset, the footprint is enlarged by offsetting the edges of the footprint outwardly from the current edge footprint positions by a distance depending on the enlargement offset,
• wherein the offset edges are determined in step (b),
• wherein the offset edges are approximated in step (c) by a staircase function, and
• wherein in step (e) a weighting factor for each texel containing an offset edge is determined depending on the subarea of the respective texel covered by the enlarged footprint;
• and
• displaying an image of said object on said display device wherein said image include the determined texel color values.