# US 11,906,292 B2 · Method and computer program for time-resolved calculation of a deformation of a body > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 11,906,292 B2 - Document ID: US11906292B2 - Status: Granted - Kind: B2 - Application number: 17/594,331 - Filed: 2020-04-08 - Published: 2022-06-23 - Granted: 2024-02-20 - Earliest claimed: 2019-04-12 - Assignees: Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. - Applicants: Fraunhofer-Gesellschaft zur Förderung der Angewand - Inventors: Stefan Hiermaier; Randolf Hanke; Siegfried Nau; Stefan Moser; Norman Uhlmann; Jens Fritsch; Malte Kurfiss; Rolf Behrend; Ines Butz - Web page: https://patentgrep.com/patent/US11906292B2 ## CPC - G01B 15/06: for measuring the deformation in a solid - G01M 17/0078: {Shock-testing of vehicles} - G06T 7/0004: {Industrial image inspection} - G06T 2207/10128: Scintigraphy - G01B: MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS - G01M: TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR - G06T: IMAGE DATA PROCESSING OR GENERATION, IN GENERAL ## Abstract An example of a method for time-resolved calculation of a deformation of a body comprises calculating (110) a model of the body during the deformation. The method further comprises calculating (120) a predicted X-ray image for the body for a plurality of time points during the deformation based on the model. The method further comprises obtaining (130) one measured X-ray image of the body each for the time points during the deformation. The method further comprises modifying (140) the model based on the predicted X-ray images and the measured X-ray images. ## Claims ### Claim 1 A method for time-resolved calculation of a deformation of a body, the method comprising: calculating a model of the body during the deformation, wherein the model of the body during the deformation is calculated based on an expected force application to the body during the deformation, wherein the deformation of the body is calculated by a numerical simulation based on a priori knowledge about the deformation and based on calculated morphological operators; calculating a predicted X-ray image for the body for a plurality of time points during the deformation based on the model; obtaining one measured X-ray image of the body each for the time points during the deformation; modifying the model based on the predicted X-ray images and the measured X-ray images, wherein the model is modified based on a difference between predicted positions of features on the predicted X-ray images and measured positions of corresponding features on the measured X-ray images, the modification of the model being directed to reduce the difference between the predicted positions of the features on the predicted X-ray images and the measured positions of the corresponding features on the measured X-ray images over the plurality of time points; and calculating the morphological operators for the deformation of the body based on the difference between the predicted and the measured positions of the features, wherein the modification of the model is based on the calculated morphological operators for the deformation of the body, wherein the a priori knowledge and the calculated morphological operators are used to adjust input parameters of the numerical simulation with respect to properties of a material of the body, with respect to acting forces, with respect to a geometry of the body, and/or with respect to velocities. ### Claim 2 (depends on 1) The method of claim 1, wherein calculating the predicted X-ray image comprises a modification of the model which is based on an X-ray image of a previous or subsequent time point. ### Claim 3 (depends on 2) The method of claim 2, wherein the model for a subsequent time point of the plurality of time points is calculated only when the modification of the model which is based on an X-ray image of the previous time point is performed. ### Claim 4 (depends on 1) The method of claim 1, wherein at least some of the features are formed by X-ray markers. ### Claim 5 (depends on 1) The method of claim 1, wherein at least some of the features are formed by contours of components of the body. ### Claim 6 (depends on 1) The method of claim 1, further comprising calculating a translation and/or rotation of at least one part of the body caused by the deformation of the body based on the difference between the predicted and the measured positions of the features, wherein the modification of the model is based on the calculated translation and/or the calculated rotation of at least one part of the body. ### Claim 7 (depends on 1) The method of claim 1, wherein morphological operators are admitted that result from a linear combination of deformations calculated for previous or subsequent time points of the plurality of time points. ### Claim 8 (depends on 7) The method of claim 7, wherein different linear combinations are admitted for different features. ### Claim 9 (depends on 1) The method of claim 1, wherein the a priori knowledge of the deformation and the calculated morphological operators are used to calculate constraining forces acting on the body, wherein the numerical simulation is based on the constraining forces. ### Claim 10 (depends on 1) The method of claim 1, wherein the method comprises calculating a three-dimensional displacement vector for the features by geometrically backprojecting the features, wherein the modification of the model is based on the three-dimensional displacement vector. ### Claim 11 (depends on 1) The method of claim 1, wherein, for each time point of the plurality of time points, a plurality of predicted X-ray images and a plurality of measured X-ray images from different perspectives are used. ### Claim 12 (depends on 1) The method of claim 1, further comprising producing the measured X-ray images by capturing a scintillator with a high-speed optical camera, wherein the measured X-ray images were captured based on an exposure of the scintillator by a pulsed radiation source. ### Claim 13 (depends on 12) The method of claim 12, wherein the pulsed radiation source is a linear accelerator. ### Claim 14 (depends on 1) A non-transitory, computer readable medium having a program code for executing the method of claim 1, when the program code is executed on a computer, a processor, a control module or a programmable hardware component.