3D Pattern Assembly Using Trihedral Reference Systems
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Solution Overview
Problem
Current CAD systems lack the ability to create and reuse three-dimensional patterns, as they are limited to two-dimensional patterns and do not allow for the application of external constraints, making it difficult to design complex assemblies and manage constraints between objects in a three-dimensional space.
Innovation Solution
A computer-implemented method that positions and orients a predefined set of trihedrals in a three-dimensional scene, allowing objects to be attached to these trihedrals and positioned according to their orientation, with the use of adjustment matrices and constraints to facilitate the creation of three-dimensional modeled assemblies, enabling the reuse of patterns and application of both intrinsic and extrinsic constraints.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If two-dimensional patterns are used to position objects, then the pattern creation process is simple, but three-dimensional pattern creation is not possible
Solution Approach 1:
The patent transitions from two-dimensional patterns to three-dimensional patterns by introducing a third dimension (Z-axis) for pattern specification. The system now allows defining patterns in 3D space with coordinates (X, Y, Z) and orientation angles (alpha, beta, gamma), enabling objects to be arranged in three-dimensional configurations rather than confined to flat planes.
2Adaptability or versatility
If procedural approaches are used to create patterns, then pattern generation is automated, but external constraints cannot be applied to pattern specifications
Solution Approach 1:
The patent introduces an intermediary mathematical solver that acts as a bridge between the pattern creation procedure and constraint application. The solver receives pattern specifications and constraints simultaneously, formulates a mathematical model, and computes the optimal pattern configuration that satisfies all constraints. This intermediary enables both automated generation and constraint enforcement without sacrificing efficiency.
3Productivity
If patterns are reused from reference catalogs, then design time is reduced, but patterns cannot be reused across different three-dimensional scenes
Solution Approach 1:
The patent creates a universal pattern specification system that can be applied across different three-dimensional scenes. Patterns are defined with scene-independent parameters (coordinates, dimensions, orientation angles) that can be instantiated in any target scene. The system imports pattern specifications from reference catalogs and adapts them to different scenes by applying transformation matrices and coordinate system mappings, enabling cross-scene pattern reuse.
4Manufacturing precision
If objects are positioned according to fixed pattern specifications, then positioning is precise, but constraints between objects and other elements cannot be respected
Solution Approach 1:
The patent transforms fixed, static pattern specifications into dynamic, adjustable configurations. The mathematical solver iteratively adjusts object positions and orientations within the pattern while satisfying constraints. The system allows constraints to be applied during pattern generation and modification, enabling dynamic adaptation of pattern specifications to meet constraint requirements while maintaining precise positioning through controlled optimization.
Data Source
AI summary
The invention is directed to a computer-implemented method for designing a three-dimensional modeled assembly of objects in a three-dimensional scene, wherein the method comprises the steps of: positioning and orienting a predefined set of trihedrals in the three-dimensional scene, each trihedral defining a position and an orientation; providing a set of objects; attaching each object of the set of objects to one corresponding trihedral of the predefined set of trihedrals; and positioning and orienting each object according to the position and the orientation of the corresponding trihedral of the predefined set of trihedrals.