Adapted 2D Grid for 3D Surface Curvature Visualization
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Solution Overview
Problem
Current methods for visualizing spatial surface curvature of 3D-objects, particularly in medical applications, face challenges in accurately representing spatial relations and distances, leading to difficulties in planning and executing interventions due to the limitations of flat 2D grids in capturing the complex geometry of 3D objects.
Innovation Solution
A method and system that adapt a flat 2D-grid to follow the surface curvature of a 3D-object, maintaining equal distances between grid intersections, allowing for accurate representation and display of the adapted grid over the 3D-object or its virtual model, enhancing perceptibility and precision in spatial mapping and intervention planning.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If a flat 2D-grid is used to visualize a 3D-object surface, then the device complexity is reduced and ease of operation is improved, but the measurement precision and manufacturing precision of spatial relations and distances deteriorate
Solution Approach 1:
The patent applies dimensionality change by transforming a flat 2D-grid into a 3D-adapted grid that conforms to the surface curvature of the 3D-object. The grid lines are warped and bent to follow the surface geometry, adding the third dimension to the visualization tool. This allows the grid to maintain its simplicity and ease of use while accurately representing spatial relations and distances on curved surfaces, thereby resolving the contradiction between ease of operation and measurement precision.
2Device complexity
If a flat 2D-grid is used to represent 3D-surface curvature, then the device complexity is reduced, but the reliability and measurement precision of spatial mapping deteriorate
Solution Approach 1:
The patent applies curvature by adapting the grid lines to follow the surface curvature of the 3D-object. Instead of using straight lines on a flat plane, the grid lines are curved and warped to match the underlying surface geometry. This allows the visualization tool to maintain simplicity while accurately representing the curved surface, thereby improving reliability and measurement precision without significantly increasing device complexity.
3Ease of operation
If a flat 2D-grid is used for spatial mapping, then ease of operation is improved, but the manufacturing precision and measurement precision of distances and spatial relations deteriorate
Solution Approach 1:
The patent transforms the flat 2D-grid into a 3D-adapted grid that incorporates the surface curvature information. By adding the third dimension to the grid structure, the system maintains ease of operation while achieving accurate representation of distances and spatial relations on curved surfaces, thereby resolving the contradiction between ease of operation and manufacturing precision.
Data Source
AI summary
A method and system are for acquiring a dataset created via an imaging modality, the dataset describing a 3D-shape of a 3D-object; adapting, in dependence on the 3D-shape of the 3D-object, a flat 2D-grid of intersecting grid lines to follow a surface curvature of the 3D-object to create an adapted grid, a distance between two neighbouring intersections, along the grid lines of the adapted grid following the surface curvature of the 3D-object, being equal to a respective corresponding distance between a respective two neighbouring intersections of the flat 2D-grid before the adapting; and outputting the adapted grid for display over at least one of the 3D-object and a virtual model of the 3D-object.