Computational Stent Braid Modeling on Non-Developable Surfaces
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Solution Overview
Problem
Existing computational techniques and measurement systems are inadequate for accurately modeling and measuring stent devices, particularly those with complex geometries such as non-developable surfaces, which are crucial for procedural planning and regulatory compliance.
Innovation Solution
A method involving the generation of a surface envelope mesh, helicoid surfaces, and wire centerline paths to create a braid model, along with the use of surface envelope normal vectors to characterize stent devices, enabling precise measurement of attributes like porosity and coverage.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional CAD packages are used to generate stent models, then the modeling process is simple and fast, but the accuracy and detail level required for computational analysis cannot be achieved
Solution Approach 1:
The patent replaces traditional mechanical CAD modeling approaches with a computational method that uses surface envelope meshes and mathematical algorithms to generate highly accurate stent models. This substitution enables precise representation of complex braided structures and non-developable surfaces through computational geometry rather than conventional CAD techniques.
Solution Approach 2:
The patent segments the stent modeling process into distinct computational steps: creating surface envelope meshes, generating wire centerline paths, determining intersection points, and constructing the final braid model. This segmentation allows each step to be optimized independently, achieving high accuracy without overwhelming complexity.
2Measurement precision
If existing measurement systems like digital microscopes are used, then the measurement process is straightforward, but reliable measurement of stent properties such as porosity and surface area cannot be achieved due to high 3D curvature and geometrical complexities
Solution Approach 1:
The patent replaces physical measurement systems like digital microscopes with a computational measurement approach using surface envelope meshes and normal vector calculations. This substitution enables accurate measurement of complex geometric properties including porosity, surface area, and braid angles by processing digital representations rather than relying on optical measurement systems.
Solution Approach 2:
The patent transitions from 2D optical measurements to 3D computational analysis by creating surface envelope meshes that capture the full three-dimensional geometry of the stent. This dimensional transformation allows accurate measurement of properties on non-developable surfaces that cannot be reliably measured with traditional 2D imaging systems.
3Shape
If stents with non-developable surfaces and high 3D curvature are measured using traditional systems, then the stent design can achieve complex geometries, but existing measurement systems are insufficient to capture desired stent properties
Solution Approach 1:
The patent employs surface envelope meshes that fully represent three-dimensional non-developable surfaces, allowing accurate capture and measurement of complex geometries including high 3D curvature regions. This 3D computational approach overcomes the limitations of traditional measurement systems that cannot handle non-developable surfaces.
Solution Approach 2:
The patent changes the measurement parameters from 2D optical measurements to 3D computational parameters including surface normal vectors, mesh coordinates, and volumetric properties. This parameter transformation enables accurate measurement of stent properties on complex geometries that were previously unmeasurable.
Data Source
AI summary
A method for modeling a device includes receiving a surface envelope of the device, receiving helicoids corresponding to a pitch of the device, generating wire centerline paths based on the surface envelope and the helicoids, generating wire intersection points, generating wire intersection normals that are normal to the surface envelope at the wire intersection points, shaping the wire centerline paths by warping the wire intersection points along the wire intersection normals in accordance with a braid pattern, and generating a braid model of the stent device based on the shaped wire centerline paths and a wire diameter. Furthermore, a method for characterizing a device includes receiving a surface envelope of the device, generating surface envelope normals that are normal to the surface envelope, generating a masked surface envelope characterizing a wire pattern of the device, and determining dimensional attributes of the device based on the masked surface envelope.