A three-dimensional, 3D, measurement system comprising: a projection system including a projection target and a projector that defines a projector focal plane; an imaging system including an imaging sensor and a lens arrangement that defines an imaging focal plane, the imaging system being configured to interoperate with the projection system to execute 3D measurements; and a positioning system including: a support frame; a first flexure arrangement configured to secure the projection target relative to the support frame, the first flexure arrangement including a plurality of flexures that permit two-dimensional, 2D, movement of the projection target within the projector focal plane and that prevent movement of the projection target out of the projector focal plane, in response to transient stresses on the 3D measurement system, including a first flexure arm extending from the support frame and coupled to the projection target at a free end thereof, and a second flexure arm extending from the support frame and coupled to the projection target at a free end thereof; and a second flexure arrangement, spaced apart from the first flexure arrangement along the support frame, the second flexure arrangement including a fixed constraint and a single flexure arm that direct movement of the imaging sensor substantially along a single movement dimension within the imaging focal plane and that prevent movement of the imaging sensor out of the imaging focal plane, in response to transient stresses on the 3D measurement system, the single flexure arm extending from the support frame and coupled to a first end of the imaging sensor at a free end thereof, and the fixed constraint coupled to a second end of the imaging sensor. a projection system including a projection target and a projector that defines a projector focal plane; an imaging system including an imaging sensor and a lens arrangement that defines an imaging focal plane, the imaging system being configured to interoperate with the projection system to execute 3D measurements; and a positioning system including: a support frame; a first flexure arrangement configured to secure the projection target relative to the support frame, the first flexure arrangement including a plurality of flexures that permit two-dimensional, 2D, movement of the projection target within the projector focal plane and that prevent movement of the projection target out of the projector focal plane, in response to transient stresses on the 3D measurement system, including a first flexure arm extending from the support frame and coupled to the projection target at a free end thereof, and a second flexure arm extending from the support frame and coupled to the projection target at a free end thereof; and a second flexure arrangement, spaced apart from the first flexure arrangement along the support frame, the second flexure arrangement including a fixed constraint and a single flexure arm that direct movement of the imaging sensor substantially along a single movement dimension within the imaging focal plane and that prevent movement of the imaging sensor out of the imaging focal plane, in response to transient stresses on the 3D measurement system, the single flexure arm extending from the support frame and coupled to a first end of the imaging sensor at a free end thereof, and the fixed constraint coupled to a second end of the imaging sensor. a support frame; a first flexure arrangement configured to secure the projection target relative to the support frame, the first flexure arrangement including a plurality of flexures that permit two-dimensional, 2D, movement of the projection target within the projector focal plane and that prevent movement of the projection target out of the projector focal plane, in response to transient stresses on the 3D measurement system, including a first flexure arm extending from the support frame and coupled to the projection target at a free end thereof, and a second flexure arm extending from the support frame and coupled to the projection target at a free end thereof; and a second flexure arrangement, spaced apart from the first flexure arrangement along the support frame, the second flexure arrangement including a fixed constraint and a single flexure arm that direct movement of the imaging sensor substantially along a single movement dimension within the imaging focal plane and that prevent movement of the imaging sensor out of the imaging focal plane, in response to transient stresses on the 3D measurement system, the single flexure arm extending from the support frame and coupled to a first end of the imaging sensor at a free end thereof, and the fixed constraint coupled to a second end of the imaging sensor.