Abstract: A manufacturing method, including: given a predetermined finished part geometry, providing a sacrificial structure preform that simultaneously contains the finished part geometry, minimizes material that must be removed from the sacrificial structure preform to achieve the finished part geometry during machining, and has a sufficient stiffness to resist a machining force that will be applied during machining without allowing the finished part geometry to be compromised; and machining the sacrificial structure preform to achieve the finished part geometry. The manufacturing method also includes preliminarily estimating a stiffness of the finished part geometry and the machining force that will be applied during machining.

Abstract: A manufacturing method, including: given a predetermined finished part geometry, providing a sacrificial structure preform that simultaneously contains the finished part geometry, minimizes material that must be removed from the sacrificial structure preform to achieve the finished part geometry during machining, and has a sufficient stiffness to resist a machining force that will be applied during machining without allowing the finished part geometry to be compromised; and machining the sacrificial structure preform to achieve the finished part geometry.

Abstract: Systems and methods for estimating a systematic relationship between a plurality of points include determining an estimated systematic relationship representative of the plurality of points according to an estimation function and based on a given set of measured points. The estimated systematic relationship having coordinate data and normal vector data associated with the given set of points and corresponding to at least a portion of the plurality of points. Further, an adaptive sampling mechanism may automatically determine whether further measurements are required based on the estimated systematic relationship and based on predetermined measurement criteria. Additionally, a data verification device may remove inaccurate data from the estimation process.

Abstract: Systems and methods for estimating a systematic relationship between a plurality of points include determining an estimated systematic relationship representative of the plurality of points according to an estimation function and based on a given set of measured points. The estimated systematic relationship having coordinate data and normal vector data associated with the given set of points and corresponding to at least a portion of the plurality of points. Further, an adaptive sampling mechanism may automatically determine whether further measurements are required based on the estimated systematic relationship and based on predetermined measurement criteria. Additionally, a data verification device may remove inaccurate data from the estimation process.