Abstract: A method for comparing two or more three-dimensional (3D) object model by evaluating at least one 3D triangle from each received triangular mesh data. For each reference triangle, the method includes identifying one or more adjacent triangles using conditions for congruence of triangles and performing neighbor facet edge hashing to produce an object hash value for each of the at least one 3D triangle. The method includes comparing the object hash value to one or more reference hash values assigned respectively to one or more 3D object models. The method includes determining whether a match exists between one or more 3D object models and the reference object based upon an amount of matching of obtained hash values. In one or more embodiments, a method compares 3D triangle objects, such as a prior scan of the same object, to determine deviations over time or the subtraction or addition of sub-parts.

Abstract: A method, in each of three orthogonal orientations, obtains dimensional layers of triangular mesh data of the 3D object from a slicer program. Perimeter length values for each layer of each of the three orthogonal orientations are obtained and compared to stored perimeter length value for a reference object to determine a degree of matching. Measurement data is facilitated by processing by CNC/3D print software. Smaller objects within the 3D object are also analyzed. For a more robust approach, each triangle in the triangular mesh data is analyzed by totaling the perimeter of surrounding triangles to assign a value. Matching with the reference object is made based on the assigned total perimeter values. The 3D object can be scaled in one, two or three orthogonal dimensions to match the reference object.

Abstract: A method, in each of three orthogonal orientations, obtains dimensional layers of triangular mesh data of the 3D object from a slicer program. Perimeter length values for each layer of each of the three orthogonal orientations are obtained and compared to stored perimeter length value for a reference object to determine a degree of matching. Measurement data is facilitated by processing by CNC/3D print software. Smaller objects within the 3D object are also analyzed. For a more robust approach, each triangle in the triangular mesh data is analyzed by totaling the perimeter of surrounding triangles to assign a value. Matching with the reference object is made based on the assigned total perimeter values. The 3D object can be scaled in one, two or three orthogonal dimensions to match the reference object.