Process for the production of a three-dimensional object with resolution improvement by pixel-shift
The invention relates to a process or device for the production of a three-dimensional object by layer-wise solidification of a material which is solidifiable under the application of electromagnetic irradiation by means of mask illumination, wherein the mask is produced using an image forming unit having a prescribed resolution, which is formed from a constant number of image forming elements (pixels) being discrete and being arranged in a spatially mutually fixed manner. For the improvement of the resolution along the outer and inner contours of the sectional areas of the object to be generated layer-wise in the sub-pixel range, a multiple illumination per layer is performed, which consists of a series of multiple images that are mutually shifted in the sub-pixel range in the image/construction plane, wherein a separate mask/bitmap is produced for each shifted image.
1. A method for generating a bitmap used to guide the projection of electromagnetic radiation from a rastered image forming unit unto the surface of a curable resign, wherein the image forming unit has an image forming matrix, the method comprising:
defining a coordinate system;
providing a vector path defining an interior area, wherein the interior area of the vector path corresponds to an inner contour of the object to be formed from the curable resin;
defining a bitmap comprising a plurality of bitmap grid elements, wherein each bitmap grid element corresponds to a location in the image forming matrix;
superimposing the bitmap onto the coordinate system to define a first bitmap position relative to the coordinate system;
superimposing the vector path on the coordinate system;
calculating a first degree of overlap between each bitmap grid element and the interior area, wherein the first degree of overlap for each grid element corresponds to the area of each bitmap grid element occupied by a portion of the interior area when the bitmap is in the first bitmap position relative to the coordinate system;
shifting the bitmap to a second bitmap position relative to the coordinate system; and
calculating a second degree of overlap between each bitmap grid element and the interior area, wherein the second degree of overlap corresponds to the area of each bitmap grid element occupied by a portion of the interior area when the bitmap is in the second bitmap position relative to the coordinate system.
2. The method of claim 1 , further comprising projecting electromagnetic radiation onto the curable resin from the image forming unit based on the first degree of overlap and the second degree of overlap for each grid element.
3. The method of claim 1 , wherein the step of projecting electromagnetic radiation onto the curable resin comprises first projecting electromagnetic radiation onto the curable resin such that each location in the image forming unit matrix projects electromagnetic radiation having an intensity that corresponds to the first degree of overlap for the bitmap grid element that corresponds to the image forming unit matrix location and second projecting electromagnetic radiation onto the curable resin such that each location in the image forming unit matrix projects electromagnetic radiation having an intensity that corresponds to the second degree of overlap for the bitmap grid element that corresponds to the image forming unit matrix location.
4. The method of claim 1 , wherein each grid element has a length and width, and the step of shifting the bitmap to the second position comprises shifting the bitmap from the first bitmap position to the second bitmap position in the direction of the width by a distance that is less than the width and in the direction of the length by a distance that is less than the length.
5. The method of claim 1 , wherein each grid element has a length and a width, and the step of shifting the bitmap to the second position comprises shifting the bitmap from the first bitmap position to the second bitmap position in the direction of the width by a distance that is less than the width.
6. The method of claim 1 , wherein each grid element has a length and a width, and the step of shifting the bitmap to the second position comprises shifting the bitmap from the first bitmap position to the second bitmap position in the direction of the width by a distance that is less than the width in the direction of the length by a distance that is less than the length.
7. A method for generating a bitmap used to guide the projection of electromagnetic radiation from a rastered image forming unit onto the surface of a curable resin, wherein the image forming unit has an image forming matrix, the method comprising:
providing a portion of an image of the object to be formed from the curable resin;
defining a bitmap, wherein the bitmap has a plurality of grid elements and each grid element corresponds to a location in the image forming matrix;
superimposing the object image on the first bitmap to define a first relative orientation between the object image and the bitmap;
calculating a first degree of overlap between each grid element and the object image when the bitmap is in the first relative orientation;
shifting the bitmap relative to the object to define a second relative orientation between the object image and the bitmap; and
calculating a second degree of overlap between each grid element and the object image when the object image is in the second relative orientation.
8. The method of claim 7 , further comprising projecting electromagnetic radiation onto the curable resin based on the first degree of overlap and the second degree of overlap for each grid element.
9. The method of claim 8 , wherein the step of projecting electromagnetic radiation onto the curable resin comprises first projecting electromagnetic radiation onto the curable resin such that each location in the image forming unit matrix projects electromagnetic radiation having an intensity that corresponds to the first degree of overlap for the bitmap grid element that corresponds to the image forming unit matrix location and second projecting electromagnetic radiation onto the curable resin such that each location in the image forming unit matrix projects electromagnetic radiation having an intensity that corresponds to the second degree of overlap for the bitmap grid element that corresponds to the image forming unit matrix location.