Pixel-Based Display Line Rendering Using Boundary Transition Points
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Solution Overview
Problem
Existing methods for displaying digital measurement values on pixel-based displays result in unstable and costly images due to unsynchronized sampling times and interpolation methods, leading to poor legibility and high calculation costs.
Innovation Solution
A method and device that connect sampled and digitized measurement points on a two-dimensional pixel-based display to form a continuous measurement-point curve, considering the position of adjacent measurement points within pixels, to create a stable and clear image with low calculation costs, by calculating transition points across pixel boundaries and assigning pixels effectively.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If interpolation is used to connect measurement points, then legibility is improved, but calculation costs increase significantly
Solution Approach 1:
Instead of performing full interpolation across all pixels, the patent applies partial action by only calculating transition points at pixel boundaries where measurement points are not directly adjacent. This selective approach provides sufficient visual connection without the computational burden of complete interpolation.
Solution Approach 2:
The patent segments the connection process into discrete transition points at pixel boundaries rather than using continuous interpolation. By dividing the connection into manageable segments at boundary locations, the system achieves visual continuity with reduced calculation requirements.
2Manufacturing precision
If conventional interpolation methods are used, then image legibility is improved, but image stability deteriorates due to unsynchronized sampling
Solution Approach 1:
The patent performs preliminary action by pre-calculating transition points at pixel boundaries based on the positions of measurement points within their respective pixels. This preliminary calculation ensures that the connection logic is prepared in advance, allowing for stable image display without requiring complex real-time interpolation adjustments.
Solution Approach 2:
The patent introduces transition points as intermediary elements that mediate between measurement points located in different pixels. These transition points serve as stable reference markers that maintain image consistency across frames, eliminating the instability caused by direct interpolation of unsynchronized samples.
3Productivity
If measurement points are displayed as individual points, then calculation costs are reduced, but legibility deteriorates
Solution Approach 1:
The patent merges adjacent measurement points into continuous lines by introducing transition points at pixel boundaries. This merging operation connects discrete points into visually continuous curves without requiring expensive interpolation algorithms, achieving both low calculation costs and good legibility.
Solution Approach 2:
The patent creates curved continuous lines between measurement points by calculating appropriate transition points at pixel boundaries. Instead of straight connections or complex interpolation, the method uses geometric curvature through boundary transition points to achieve smooth, legible curves with minimal computational effort.
Data Source
AI summary
Measurement points for display on a two-dimensional pixel-based display device are formed by scanned and digitized measurement values. To this end, the resolution of each measurement point according to time and/or value is higher than the resolution of the two-dimensional pixel-based display device. The measurement points are connected into a continuous measurement point curve if they are not located on directly adjoining pixels. In order to determine the pixels to be depicted of the continuous measurement point curve between two measurement points not located on directly adjoining pixels, the positions of the adjoining measurement points within the associated pixels are taken into consideration.