A method and apparatus for identifying deformation of a structure. Training deformation data is identified for each training case in a plurality of training cases. Training strain data is identified for each training case in the plurality of training cases. The training deformation data and the training strain data are configured for use by a heuristic model to increase an accuracy of output data generated by the heuristic model. A group of parameters for the heuristic model is adjusted using the training deformation data and the training strain data for the each training case in the plurality of training cases such that the heuristic model is trained to generate estimated deformation data for the structure based on input strain data. The estimated deformation data has a desired level of accuracy.
Please help me write a proper abstract based on the patent claims. CLAIM: 1-16. (canceled) 17. An apparatus comprising: a heuristic model configured to generate estimated deformation data for a structure based on input strain data; and a trainer configured to identify training deformation data and training strain data for each training case in a plurality of training cases, train the heuristic model using the training deformation data and the training strain data identified for the each training case in the plurality of training cases such that the heuristic model generates the estimated deformation data for the structure based on the input strain data in which the estimated deformation data has a desired level of accuracy, and receive the training strain data for the each training case in the plurality of training cases from a sensor system associated with the structure in which the sensor system comprises a plurality of sensors positioned at a plurality of points on the structure in which the plurality of sensors is configured to generate a plurality of strain measurements for the plurality of points on the structure. 18. (canceled) 19. The apparatus of claim 17, wherein the heuristic model is configured to adjust a group of parameters for the heuristic model using the training deformation data and the training strain data for the each training case in the plurality of training cases such that the estimated deformation data generated by the heuristic model based on the input strain data has the desired level of accuracy. 20. The apparatus of claim 17, wherein the heuristic model comprises at least one of a neural network, a learning-based algorithm, a regression model, a support vector machine, a data fitting model, and a pattern recognition model. 21. The apparatus of claim 17, wherein the structure is associated with a platform and wherein the estimated deformation data generated by the heuristic model is used to adjust a group of control parameters for the structure during operation of the platform such that the structure has a desired level of performance during the operation of the platform. 22. An antenna deformation modeling system comprising: a phased array antenna; a sensor system comprising a plurality of sensors embedded at a plurality of points in the phased array antenna, the plurality of sensors configured to generate strain data for the phased array antenna in a plurality of training cases, in which the plurality of sensors is configured to generate a plurality of strain measurements for the plurality of points on the phased array antenna; and a trainer configured to identify training deformation data and training strain data for each training case in the plurality of training cases, train a heuristic model using the training deformation data and the training strain data identified for the each training case in the plurality of training cases such that the heuristic model generates an estimated deformation data for the phased array antenna based on the input strain data, and receive the training strain data for the each training case in the plurality of training cases from the sensor system. 23. The antenna deformation modeling system of claim 22, further comprising an imaging system configured to generate a number of images of the structure. 24. The antenna deformation modeling system of claim 23, wherein the imaging system comprises a number of cameras configured to generate the number of images, the number of images including a number of deformation measurements at the plurality of points on the phased array antenna, the number of deformation measurements corresponding to the training deformation data. 25. The antenna deformation modeling system of claim 22 further comprising an actuator system configured to apply a number of loads on the phased array antenna for the plurality of training cases. 26. The antenna deformation modeling system of claim 25, wherein the actuator system comprises a plurality of actuators configured to apply the number of loads to a plurality of points on the phased array antenna. 27. The antenna deformation modeling system of claim 22, wherein the phased array antenna is associated with an aircraft and deforms while the aircraft is in flight such that a shape of the phased array antenna changes from a reference shape to a deformed shape. 28. The antenna deformation modeling system of claim 22, wherein the estimated deformation data has a desired level of accuracy. 29. A system for identifying deformation of a structure, comprising: a sensor system associated with the structure and comprising a plurality of sensors positioned at a plurality of points on the structure generating strain data for the structure, in which the plurality of sensors is configured to generate a plurality of strain measurements for the plurality of points on the structure; an actuator system configured to apply a number of loads on the structure for a number of training cases; an imaging system configured to generate a number of images of the structure receiving the number of loads; and a computer system comprising a trainer configured to receive the strain data for each of the number of training cases from the sensor system and train a heuristic model using the strain data and the number of images. 30. The system of claim 29, wherein the structure comprises a phased array antenna. 31. The system of claim 30, wherein the actuator system comprises a plurality of actuators configured to apply the number of loads to a plurality of points on the phased array antenna. 32. The system of claim 31, wherein the imaging system comprises a number of cameras configured to generate the number of images, the number of images including a number of deformation measurements at the plurality of points on the phased array antenna. 33. The system of claim 29, wherein the sensor system comprises a plurality of strain gauges embedded in the structure. 34. The system of claim 29 further comprising a support system supporting the structure. 35. The system of claim 29, wherein the trainer is configured to train the heuristic model to estimate a deformation of the structure. 36. The system of claim 29, wherein the heuristic model comprises at least one of a neural network, a learning-based algorithm, a regression model, a support vector machine, a data fitting model, and a pattern recognition model.