# US 12,602,870 B2 · Computer-aided techniques for designing 3D surfaces based on gradient specifications > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 12,602,870 B2 - Document ID: US12602870B2 - Status: Granted - Kind: B2 - Application number: 18/419,443 - Filed: 2024-01-22 - Published: 2024-07-18 - Granted: 2026-04-14 - Earliest claimed: 2022-05-17 - Assignees: Autodesk, Inc. - Applicants: Autodesk, Inc. - Inventors: Andriy Banadyha; Mark Thomas Davis - Web page: https://patentgrep.com/patent/US12602870B2 ## CPC - G06T 17/20: Finite element generation, e.g. wire-frame surface description, {tesselation} - G06F 30/12: characterised by design entry means specially adapted for CAD, e.g. graphical user interfaces [GUI] specially adapted for CAD - G06T 17/00: Three-dimensional [3D] modelling for computer graphics - G06T 19/20: Editing of three-dimensional [3D] images, e.g. changing shapes or colours, aligning objects or positioning parts - G06T 2200/24: involving graphical user interfaces [GUIs] - G06T 2210/12: Bounding box - G06T 2210/56: Particle system, point based geometry or rendering - G06T 2219/2021: Shape modification - G06T: IMAGE DATA PROCESSING OR GENERATION, IN GENERAL - G06F: ELECTRIC DIGITAL DATA PROCESSING (computer systems based on specific computational models G06N) ## Abstract In various embodiments, a gradient modeling application automatically generates designs of three-dimensional (3D) objects. The gradient modeling application generates a set of points based on a resolution and a perimeter. The gradient modeling application computes a set of displacement values based on the set of points, a first two-dimensional (2D) border, and a first displacement parameter that is associated with the first 2D border. Based on the set of displacement values, the gradient modeling application generates a 3D object design. ## Claims ### Claim 1 A computer-implemented method for automatically generating designs of three-dimensional (3D) objects, the method comprising: generating a plurality of points based on a grid resolution for an overall grid of 2D points associated with a base surface; computing a plurality of displacement values based on the plurality of points; and generating a first 3D object design based on the plurality of displacement values. ### Claim 2 (depends on 1) The computer-implemented method of claim 1, wherein the plurality of displacement values is further computed based on at least one of a first two-dimensional (2D) border or a first value for a first displacement parameter that is associated with the first 2D border. ### Claim 3 (depends on 2) The computer-implemented method of claim 2, wherein the first 2D border comprises at least one of a 2D curve or a 2D point. ### Claim 4 (depends on 2) The computer-implemented method of claim 2, wherein computing the plurality of displacement values comprises computing a first distance between the first 2D border and a first point included in the plurality of points, and computing a first displacement value based on the first distance and the first value for the first displacement parameter. ### Claim 5 (depends on 2) The computer-implemented method of claim 2, wherein computing the plurality of displacement values comprises determining that a first point included in the plurality of points is influenced by the first 2D border based on a first 2D position associated with the first point, and computing a first displacement value based on the first value for the first displacement parameter. ### Claim 6 (depends on 1) The computer-implemented method of claim 1, wherein the plurality of displacement values is further computed based on a first two-dimensional (2D) border. ### Claim 7 (depends on 6) The computer-implemented method of claim 6, wherein the plurality of displacement values is further computed based on a first value for a first displacement parameter that is associated with the first 2D border. ### Claim 8 (depends on 7) The computer-implemented method of claim 7, wherein the first value for the first displacement parameter specifies a distribution defining a degree of influence that the first 2D border exerts on a 2D point based on a distance between the first 2D border and the 2D point. ### Claim 9 (depends on 1) The computer-implemented method of claim 1, wherein computing the plurality of displacement values comprises: computing a degree of influence that a set of 2D borders that includes a first 2D border has on a first point included in the plurality of points based on a first 2D position associated with the first point and a first value for a first displacement parameter; and computing a first displacement value based on the degree of influence and a displacement limit associated with the set of 2D borders. ### Claim 10 (depends on 1) The computer-implemented method of claim 1, further comprising: receiving, via a graphical user interface (GUI), a user event corresponding to an interaction between a user and an interactive GUI element; and determining a first 2D border or a first value for a first displacement parameter based on the user event. ### Claim 11 (depends on 1) The computer-implemented method of claim 1, wherein generating the first 3D object design comprises modifying a displacement field associated with an overall surface based on the plurality of displacement values and at least one of a blending mode or a position of a perimeter within the overall surface. ### Claim 12 (depends on 1) The computer-implemented method of claim 1, further comprising generating a displacement field based on the plurality of displacement values, a 2D border, and a first value for a first displacement parameter. ### Claim 13 (depends on 1) The computer-implemented method of claim 1, further comprising: converting the plurality of displacement values into a bitmap; and modifying a target portion of a target 3D object design based on the bitmap to generate a second 3D object design. ### Claim 14 One or more non-transitory computer readable media including instructions that, when executed by one or more processors, cause the one or more processors to automatically generate designs of three-dimensional (3D) objects by performing the steps of: generating a plurality of points based on a grid resolution for an overall grid of 2D points associated with a base surface; computing a plurality of displacement values based on the plurality of points; and generating a first 3D object design based on the plurality of displacement values. ### Claim 15 (depends on 14) The one or more non-transitory computer readable media of claim 14, wherein the plurality of displacement values is further computed based on at least one of a first two-dimensional (2D) border or a first value for a first displacement parameter that is associated with the first 2D border. ### Claim 16 (depends on 15) The one or more non-transitory computer readable media of claim 15, wherein the first 2D border comprises at least one of a 2D curve or a 2D point. ### Claim 17 (depends on 14) The one or more non-transitory computer readable media of claim 14, wherein the plurality of displacement values is further computed based on a first two-dimensional (2D) border. ### Claim 18 (depends on 17) The one or more non-transitory computer readable media of claim 17, wherein the plurality of displacement values is further computed based on a first value for a first displacement parameter that is associated with the first 2D border. ### Claim 19 (depends on 18) The one or more non-transitory computer readable media of claim 18, wherein the first value for the first displacement parameter specifies a distribution defining a degree of influence that the first 2D border exerts on a 2D point based on a distance between the first 2D border and the 2D point. ### Claim 20 A system comprising: one or more memories storing instructions; and one or more processors coupled to the one or more memories that, when executing the instructions, perform the steps of: generating a plurality of points based on a grid resolution for an overall grid of 2D points associated with a base surface; computing a plurality of displacement values based on the plurality of points; and generating a first 3D object design based on the plurality of displacement values.