# US 2018/0025479 A1 · Systems and methods for aligning measurement data to reference data > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 2018/0025479 A1 - Document ID: US20180025479A1 - Status: Published application - Kind: A1 - Application number: 15/214,490 - Filed: 2016-07-20 - Published: 2018-01-25 - Earliest claimed: 2016-07-20 - Assignees: Toyota Motor Engineering & Manufacturing North America, Inc. - Applicants: Toyota Motor Engineering & Manufacturing North America, Inc. - Inventors: Aaron Burton - Web page: https://patentgrep.com/patent/US20180025479A1 ## CPC - G06T 7/001: {using an image reference approach} - G06T 17/20: Finite element generation, e.g. wire-frame surface description, {tesselation} - G06T 2207/10028: Range image; Depth image; 3D point clouds - G06T 2207/30164: Workpiece; Machine component - G06T 2210/56: Particle system, point based geometry or rendering - G06T: IMAGE DATA PROCESSING OR GENERATION, IN GENERAL ## Abstract Systems and methods for evaluating a manufactured part to determine whether the shape of the manufactured part corresponds to an expected shape are described. A method to evaluate the manufactured part includes generating a point cloud of the manufactured part from measurement data relating to the manufactured part, generating a mesh including a plurality of nodes from the point cloud, and determining a normal vector slope, a local second order derivative, and a local third order derivative for each node. The normal vector slope, the local second order derivative, and the local third order derivative at each node provides an angle of curvature at a location on the manufactured part. The method further includes comparing the angle of curvature at the location on the manufactured part with reference data for a nominal part that is representative of one or more expected dimensions of the manufactured part. ## Claims ### Claim 1 A method to evaluate a manufactured part, the method comprising: generating, by a processing device, a point cloud of the manufactured part from measurement data relating to the manufactured part; generating, by the processing device, a mesh from the point cloud of the manufactured part, wherein the mesh comprises a plurality of nodes; determining, by the processing device, a normal vector slope, a local second order derivative, and a local third order derivative for each node of the plurality of nodes, wherein the normal vector slope, the local second order derivative, and the local third order derivative at each node provides an angle of curvature at a location on the manufactured part, and comparing, by the processing device, the angle of curvature at the location on the manufactured part with reference data for a nominal part that is representative of one or more expected dimensions of the manufactured part. ### Claim 2 (depends on 1) The method of claim 1, further comprising receiving, by the processing device, one or more images of the manufactured part from an imaging device; and generating, by the processing device, the measurement data for the manufactured part from the one or more images. ### Claim 3 (depends on 1) The method of claim 1, further comprising: determining, by the processing device, a plurality of reference points on the nominal part that correspond to the plurality of nodes; and determining, by the processing device, a normal vector slope, a local second order derivative, and a local third order derivative for each reference point of the plurality of reference points, wherein the normal vector slope, the local second order derivative, and the local third order derivative at each reference point provides the reference data for the nominal part. ### Claim 4 (depends on 1) The method of claim 1, wherein the reference data comprises computer-aided design (CAD) data. ### Claim 5 (depends on 1) The method of claim 1, further comprising: determining, by the processing device, an error between the angle of curvature at the location on the manufactured part with a corresponding portion of the reference data for the nominal part. ### Claim 6 (depends on 5) The method of claim 5, further comprising: determining, by the processing device, a transformation matrix for altering manufacture of the manufactured part to minimize the error. ### Claim 7 (depends on 5) The method of claim 5, further comprising: determining, by the processing device, a quality of the manufactured part based on the error. ### Claim 8 (depends on 1) The method of claim 1, wherein generating the mesh comprises generating a triangle mesh. ### Claim 9 A system to evaluate a manufactured part, the system comprising: a processing device; and a non-transitory, processor-readable storage medium, the non-transitory, processor-readable storage medium comprising one or more programming instructions that, when executed, cause the processing device to: generate a point cloud of the manufactured part from measurement data relating to the manufactured part, generate a mesh from the point cloud of the manufactured part, wherein the mesh comprises a plurality of nodes, determine a normal vector slope, a local second order derivative, and a local third order derivative for each node of the plurality of nodes, wherein the normal vector slope, the local second order derivative, and the local third order derivative at each node provides an angle of curvature at a location on the manufactured part, and compare the angle of curvature at the location on the manufactured part with reference data for a nominal part that is representative of one or more expected dimensions of the manufactured part. ### Claim 10 (depends on 9) The system of claim 9, wherein the non-transitory, processor-readable storage medium further comprises one or more programming instructions that, when executed, cause the processing device to: receive one or more images of the manufactured part from an imaging device; and generate the measurement data for the manufactured part from the one or more images. ### Claim 11 (depends on 9) The system of claim 9, wherein the non-transitory, processor-readable storage medium further comprises one or more programming instructions that, when executed, cause the processing device to: determine a plurality of reference points on the nominal part that correspond to the plurality of nodes; and determine a normal vector slope, a local second order derivative, and a local third order derivative for each reference point of the plurality of reference points, wherein the normal vector slope, the local second order derivative, and the local third order derivative at each reference point provides the reference data for the nominal part. ### Claim 12 (depends on 9) The system of claim 9, wherein the reference data comprises computer-aided design (CAD) data. ### Claim 13 (depends on 9) The system of claim 9, wherein the non-transitory, processor-readable storage medium further comprises one or more programming instructions that, when executed, cause the processing device to: determine an error between the angle of curvature at the location on the manufactured part with a corresponding portion of the reference data for the nominal part. ### Claim 14 (depends on 13) The system of claim 13, wherein the non-transitory, processor-readable storage medium further comprises one or more programming instructions that, when executed, cause the processing device to: determine a transformation matrix for altering manufacture of the manufactured part to minimize the error. ### Claim 15 (depends on 13) The system of claim 13, wherein the non-transitory, processor-readable storage medium further comprises one or more programming instructions that, when executed, cause the processing device to: determine a quality of the manufactured part based on the error. ### Claim 16 (depends on 9) The system of claim 9, wherein the one or more programming instructions that, when executed, cause the processing device to generate the mesh further cause the processing device to generate a triangle mesh. ### Claim 17 A system to evaluate a manufactured part, the system comprising: a measuring device; a processing device communicatively coupled to the measuring device; and a non-transitory, processor-readable storage medium, the non-transitory, processor-readable storage medium comprising one or more programming instructions that, when executed, cause the processing device to: receive measurement data relating to the manufactured part from the measuring device, generate a point cloud of the manufactured part from the measurement data, generate a mesh from the point cloud of the manufactured part, wherein the mesh comprises a plurality of nodes, determine a normal vector slope, a local second order derivative, and a local third order derivative for each node of the plurality of nodes, wherein the normal vector slope, the local second order derivative, and the local third order derivative at each node provides an angle of curvature at a location on the manufactured part, determine a plurality of reference points on a nominal part that correspond to the plurality of nodes, wherein the nominal part is representative of one or more expected dimensions of the manufactured part, determine a normal vector slope, a local second order derivative, and a local third order derivative for each reference point of the plurality of reference points, wherein the normal vector slope, the local second order derivative, and the local third order derivative at each reference point provides reference data for the nominal part, and compare the angle of curvature at the location on the manufactured part with the reference data. ### Claim 18 (depends on 17) The system of claim 17, wherein the non-transitory, processor-readable storage medium further comprises one or more programming instructions that, when executed, cause the processing device to: determine an error between the angle of curvature at the location on the manufactured part with the reference data; and determine a transformation matrix that is used to alter manufacture of the manufactured part to minimize the error. ### Claim 19 (depends on 18) The system of claim 18, wherein the non-transitory, processor-readable storage medium further comprises one or more programming instructions that, when executed, cause the processing device to: determine a quality of the manufactured part based on the error. ### Claim 20 (depends on 17) The system of claim 17, wherein the one or more programming instructions that, when executed, cause the processing device to generate the mesh further cause the processing device to generate a triangle mesh.