Turing joined the National Physical Laboratory (NPL) in October 1945, by which time scientists within the Ministry of Supply had concluded that Britain needed a National Mathematical Laboratory to coordinate machine-aided computation.
Uniform offsetting is an important geometric operation for computer-aided design and manufacturing (CAD/CAM) applications such as rapid prototyping, NC machining, coordinate measuring machines, robot collision avoidance, and Hausdorff error calculation.
Machines such as the coordinate measuring machine (CMM) often employ the technique of the least squares form fitting algorithms.
To design measurement protocols with Coordinate Machines, it is necessary to define: involutometry, boundaries of teeth and paths for touching.
Both mathematical tools and CAD tools are considered as part of the Coordinate Machines for these applications.
To interpret the data from Coordinate Machines, mathematical tools are proposed as complementary to those proposed by previous authors in this field.
These methods have generally been applied to large machine tools or coordinate measuring machines.
In this paper, a novel coordinate measuring machine (CMM) inspection path planning environment, named haptic virtual coordinate measuring machine (HVCMM), is proposed, which makes use of haptic modeling technique for CMM off-line programming.
Other machines using numerical control include component-insertion machines used in electronics assembly, drafting machines that prepare engineering drawings, coordinate measuring machines that perform accurate inspections of parts, and flame cutting machines and similar devices.
