Measurement method and measurement system

A measurement system comprising:

• a first projector;
• a second projector;
• a third projector;
• a first camera;
• and
• one or more processors programmed to
• generate position information representing positions of a plurality of portions of a target surface based on a first image and a first captured image generated when the first camera captures an image of the target surface in a situation in which the first projector projects the first image onto the target surface via a first lens,
• determine a first vector representing a direction from a position of a measured portion that is one of the plurality of portions to a position of a principal point of the first lens based on the position information, the first image, and the first captured image,
• determine a second vector representing a direction from the position of the measured portion to a position of a principal point of a second lens based on the position information, a second image, and a second captured image generated when the first camera captures an image of the target surface in a situation in which the second projector projects the second image onto the target surface via the second lens,
• determine a third vector representing a direction from the position of the measured portion to a position of a principal point of a third lens based on the position information, a third image, and a third captured image generated when the first camera captures an image of the target surface in a situation in which the third projector projects the third image onto the target surface via the third lens, and
• measure a normal vector of the measured portion based on the first vector, the second vector, the third vector, a first value representing luminance of the measured portion in a situation in which the first projector projects a fourth image onto the target surface via the first lens, a second value representing the luminance of the measured portion in a situation in which the second projector projects a fifth image onto the target surface via the second lens, and a third value representing the luminance of the measured portion in a situation in which the third projector projects a sixth image onto the target surface via the third lens.

A measurement system comprising:

• a first projector;
• a second projector;
• a third projector;
• a first camera;
• a second camera;
• and
• one or more processors programmed to,
• generate position information representing positions of a plurality of portions of a target surface based on a first captured image generated when the first camera captures an image of the target surface in a situation in which the first projector projects a first image onto the target surface via a first lens and an image generated when the second camera captures an image of the target surface in the situation in which the first projector projects the first image onto the target surface via the first lens,
• determine a first vector representing a direction from a position of a measured portion that is one of the plurality of portions to a position of a principal point of the first lens based on the position information, the first image, and the first captured image,
• determine a second vector representing a direction from the position of the measured portion to a position of a principal point of a second lens based on the position information, a second image, and a second captured image generated when the first camera captures an image of the target surface in a situation in which the second projector projects the second image onto the target surface via the second lens,
• determine a third vector representing a direction from the position of the measured portion to a position of a principal point of a third lens based on the position information, a third image, and a third captured image generated when the first camera captures an image of the target surface in a situation in which the third projector projects the third image onto the target surface via the third lens, and
• measure a normal vector of the measured portion based on the first vector, the second vector, the third vector, a first value representing luminance of the measured portion in a situation in which the first projector projects a fourth image onto the target surface via the first lens, a second value representing the luminance of the measured portion in a situation in which the second projector projects a fifth image onto the target surface via the second lens, and a third value representing the luminance of the measured portion in a situation in which the third projector projects a sixth image onto the target surface via the third lens.