Method and arrangement for optically capturing an object with a light pattern projection

An arrangement for optically capturing an object with a light pattern projection, the arrangement comprising:

• a projection device including a projection plane and being configured to project a predetermined plurality of light patterns onto the object, each of the predetermined plurality of light patterns including location dependent projection intensity values in the projection plane;
• a capture device configured to capture at least one image of the object when each of a respective light pattern is projected onto the object to obtain location dependent image intensity values for the respective light pattern in an image plane, such that a plurality of images is captured overall;
• and
• a synthesized image generating device configured to:
• determining a first linear combination of the predetermined plurality of light patterns, which yields a predetermined distribution of projection intensity values in a local region of the projection plane, the local region including an area of the projection plane including at least one location;
• and
• generating a synthesized image intensity value for at least one image location in the image plane which corresponds to the area of the projection plane of the local region, the synthesized image intensity value at the at least one image location not being captured by the capturing device but being determined by calculation and specifically by a second linear combination of the image intensity values of several different captured images of the predetermined plurality of light patterns, the projection intensity values of which forming the first linear combination of the predetermined plurality of light patterns for the local region, the second linear combination of the image intensity values being based on the first linear combination for the local region, and but with the projection intensity values being replaced by the image intensity values at the at least one image location.