3D Spherical Harmonic Modeling of Breast Shape
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Solution Overview
Problem
Existing technologies lack efficient methods for accurately modeling and simulating breast shape variations due to surgical procedures, particularly in three-dimensional contexts, which are crucial for surgical planning and clinical consultations.
Innovation Solution
The use of spherical harmonics (SPHARM) to model breast shapes, allowing for the extraction of 3D image data, formation of a zero-genus surface, and mapping to predefined templates using spherical coordinates, enabling the determination of 3D spherical harmonic descriptors for anatomical parameters and predicting post-operative shapes.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional 3D imaging and modeling methods are used for breast shape analysis, then the ability to capture breast geometry is achieved, but the accuracy in representing anatomical parameters and predicting surgical outcomes is insufficient
Solution Approach 1:
The patent transforms breast geometry from traditional 3D mesh representations to spherical harmonic coefficients, changing the mathematical parameters used to describe breast shape. This parameter transformation enables more accurate extraction of anatomical parameters (height, width, depth, ptosis) and improves reliability of surgical outcome predictions by providing a more robust mathematical representation of breast anatomy that better captures subtle shape variations and deformations.
Solution Approach 2:
The patent moves from 3D spatial representation to a parameter space representation using spherical harmonics. By projecting the 3D breast surface onto a spherical coordinate system and representing it as a series of spherical harmonic functions, the system gains an additional mathematical dimension that enables more precise characterization of anatomical parameters and more accurate prediction of surgical outcomes.
2Manufacturing precision
If detailed 3D breast modeling is performed to capture shape variations, then modeling accuracy improves, but computational complexity and processing time increase
Solution Approach 1:
The patent changes the representation parameters from detailed 3D mesh geometry to spherical harmonic coefficients. This parameter transformation simplifies the mathematical representation while maintaining high precision in capturing breast shape variations. The spherical harmonic coefficients provide a compact and efficient way to represent complex 3D geometries, reducing computational complexity while preserving modeling accuracy.
Solution Approach 2:
The spherical harmonic representation serves multiple functions simultaneously: it describes the 3D breast surface geometry, extracts anatomical parameters, and enables surgical outcome prediction. This multi-functionality reduces the need for separate complex processing steps, thereby reducing overall system complexity while maintaining high precision in breast shape modeling.
3Adaptability or versatility
If 3D spherical harmonic descriptors are computed from 3D images, then the ability to represent and compare breast shapes is improved, but the difficulty of processing and analyzing the data increases
Solution Approach 1:
The patent transforms complex 3D breast surface data into spherical harmonic coefficients, which are mathematical parameters that are easier to process and analyze. These coefficients provide a standardized representation that simplifies shape comparison and enables systematic analysis of breast geometry, reducing the difficulty of data processing while enhancing the ability to represent and compare diverse breast shapes.
Solution Approach 2:
The patent segments the breast surface into spherical harmonic basis functions, breaking down the complex 3D geometry into manageable mathematical components. This segmentation allows for systematic processing and analysis of different aspects of breast shape through the coefficients of individual spherical harmonic functions, making the data more manageable and easier to analyze while maintaining comprehensive shape representation.
Data Source
AI summary
A system and a computer implemented method are disclosed to model breast shape using three-dimensional spherical harmonics with adjustable parameters to modulate breast size, projection, and/or ptosis. The method includes receiving a 3D image including a breast, identifying the breast in the 3D image, extracting 3D image data of the breast from the 3D image, forming a closed object using the 3D image data of the breast to create a zero-genus surface, mapping the 3D image data of the breast to a predefined template using spherical coordinates, and determining a 3D spherical harmonic descriptor of the 3D image data of the breast.