Ultrasonic Diagnosis Rotational Angle Calculation Curved Surfaces
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Solution Overview
Problem
Current methods for evaluating rotational motion of tissues in three-dimensional spaces, such as the heart, overestimate rotational angles due to unevenness in circumferential direction or spatially uneven motion components perpendicular to the rotating direction, lacking accurate quantification of rotational angles on curved surfaces.
Innovation Solution
An ultrasonic diagnosis apparatus and image processing method that acquires and processes volume data to compute local three-dimensional motion vectors, track three-dimensional positions, and calculate rotational angles on curved surfaces, accounting for motion components in the circumferential and long-axis directions to accurately extract rotational components of cardiac muscle motion.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Area of stationary object
If three-dimensional position tracking is performed on curved surfaces, then spatial coverage is improved, but measurement precision deteriorates due to uneven motion components causing overestimation of rotational angles
Solution Approach 1:
The patent divides the curved surface into multiple local coordinate systems, each with its own orientation defined by the surface normal vector at that location. By segmenting the analysis into local regions rather than treating the entire curved surface as a single plane, the method accurately captures rotational motion at each point while accounting for the underlying surface curvature, thus preventing overestimation of rotational angles.
Solution Approach 2:
The patent transitions from two-dimensional planar rotation analysis to three-dimensional curved surface analysis by introducing the surface normal vector as a third dimension. This allows the definition of rotational angles in the tangential plane while considering the curvature of the surface, enabling accurate measurement of rotational motion on curved surfaces without overestimation.
2Device complexity
If rotational angles are calculated without considering curved surface geometry, then calculation complexity is reduced, but measurement precision deteriorates due to overestimation from uneven motion components
Solution Approach 1:
The patent performs preliminary calculation of the surface normal vector at each point on the curved surface before calculating rotational angles. By pre-establishing the local coordinate system and surface orientation, the method simplifies the subsequent rotational angle calculation while ensuring accuracy, as the normal vector provides a reference that automatically accounts for surface curvature without requiring complex iterative calculations.
3Ease of operation
If conventional two-dimensional rotational angle definition is used, then ease of operation is improved, but measurement precision deteriorates due to inability to account for three-dimensional motion components
Solution Approach 1:
The patent applies local quality by defining rotational angles in the local tangential plane at each point on the curved surface, with the surface normal vector providing the local orientation reference. This allows the method to maintain simplicity similar to two-dimensional analysis while incorporating three-dimensional geometric information, as each local region is analyzed independently with its own coordinate system adapted to the surface curvature.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
Enables precise extraction and display of rotational motion information in three-dimensional spaces, reducing overestimation of rotational angles and providing accurate tissue motion analysis, even with uneven motion components, thereby enhancing the quantitative evaluation of tissue rotation.
Implementation Method 1
a reception signal obtained by scanning a heart with ultrasonic waves
Data Source
AI summary
A normal vector on a regression plane in a reference time phase in a three-dimensional space is defined with regard to a moving tissue typified by a myocardial wall. Orthogonal projection vectors on the regression plane at each vertex (Pij(t)) in each time phase are calculated by using the normal vector on the regression plane, and the angle defined by the orthogonal projection vectors is calculated, thereby acquiring a local rotational angle at each vertex (Pij(t)) in each time phase relative to the reference time phase.


