Polar Coordinate Model for Endoscopic Organ Deformation
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Solution Overview
Problem
Current medical imaging technologies face challenges in accurately displaying the observation range and position of internal organs during endoscopic procedures, particularly due to individual differences in organ shape and deformation, which can lead to inaccuracies in model images used by surgeons.
Innovation Solution
A medical apparatus and method that utilize a polar coordinate system with an organ deformation center as the origin to calculate and display the observation range, allowing for accurate representation of organ shape and position on a common model image, irrespective of individual differences and organ deformation, by using a position/direction acquisition section, coordinate calculating section, and image generating section to show three-dimensional positions based on polar coordinates.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If a common model image is used for all patients, then device complexity is reduced and ease of operation is improved, but measurement precision and reliability deteriorate due to individual differences in organ shape
Solution Approach 1:
The patent transforms the three-dimensional organ coordinates into two-dimensional polar coordinates (r, θ) where r represents the radial distance from the deformation center and θ represents the angular position. This parameter transformation allows the organ surface to be accurately represented on a common model image while accounting for individual shape variations and deformation, thereby maintaining measurement precision without requiring patient-specific model images.
2Device complexity
If a common model image is used for all patients, then manufacturing precision and device complexity are improved, but reliability deteriorates due to organ deformation during procedures
Solution Approach 1:
By converting Cartesian coordinates (x, y, z) to polar coordinates (r, θ) with the deformation center as origin, the system can track organ deformation dynamically. The radial coordinate r captures the expansion or contraction of the organ, while the angular coordinate θ maintains the positional relationship. This allows a single common model image to reliably represent the organ regardless of deformation state, eliminating the need for multiple model images and reducing device complexity.
3Measurement precision
If individualized model images are created for each patient, then measurement precision and reliability are improved, but device complexity and productivity deteriorate due to continuous model image recreation
Solution Approach 1:
The polar coordinate transformation enables the system to use a universal common model image for all patients by representing the organ surface in terms of radial distance and angular position from the deformation center. This eliminates the need to create and store individualized model images for each patient, significantly improving productivity while maintaining measurement precision through the mathematically rigorous coordinate transformation.
4Reliability
If individualized model images are created for each patient, then reliability is improved, but device complexity and loss of time deteriorate due to continuous model image recreation
Solution Approach 1:
By adopting the polar coordinate system with the deformation center as origin, the patent enables the use of a single common model image that remains valid across different patients and deformation states. This eliminates the time-consuming process of creating and validating individualized model images for each patient, reducing loss of time while maintaining reliability through the robust mathematical framework that accounts for individual variations and deformation.
Data Source
AI summary
A medical apparatus includes a model-image generating section configured to generate a model image obtained by modeling a shape of an inside of a subject, a coordinate calculating section configured to detect a three-dimensional position of a feature point of the inside of the subject, set a polar coordinate on the basis of a position of the feature point, and calculate an arbitrary three-dimensional position of the inside of the subject according to the polar coordinate, and an image generating section configured to show the arbitrary three-dimensional position of the inside of the subject on the model image on the basis of one angle component among components of the polar coordinate calculated by the coordinate calculating section and a value obtained by correcting the one angle component according to another angle component.


