Display Device Ordinate Interpolation for Histogram Clarity
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Solution Overview
Problem
Display devices with limited resolution in the ordinate and abscissa directions result in information loss and accuracy errors, especially in real-time data acquisition and display, and existing methods fail to provide a clear and recognizable curve profile in histogram representations, particularly for signals with background noise.
Innovation Solution
Determine additional interpolated ordinate values at half distances between abscissa values, calculate maximum and minimum ordinate values for each abscissa range, and generate random or pseudo-random ordinate values within these ranges to enhance resolution and avoid gaps in the display, using a quasi-deterministic method to ensure maximum distance between scaling factors for accurate representation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of information
If the resolution of measured values is reduced to match display device resolution, then information loss in the ordinate direction increases, but display compatibility is improved
Solution Approach 1:
The patent applies preliminary action by calculating interpolated ordinate values at half distances between abscissa values before final display. This preprocessing step creates additional data points that preserve information during the resolution reduction process, allowing the display to adapt to limited resolution while minimizing information loss through pre-computed intermediate values.
Solution Approach 2:
The patent introduces an intermediary approach by generating random or pseudo-random ordinate values within calculated maximum and minimum ranges. These intermediary values act as mediators between the high-resolution measured data and the low-resolution display requirements, preserving signal characteristics while adapting to display constraints.
2Loss of information
If area representation is used in histogram display, then information loss occurs, but signal evaluation becomes simpler
Solution Approach 1:
The patent inverts the conventional histogram approach by not using area representation but instead displaying point clusters with interpolated values. This inversion maintains signal integrity through precise point representation while keeping evaluation manageable through systematic interpolation and random value selection within defined ranges.
3Loss of information
If point-like representation is used, then signal waveform continuity is reduced, but information loss is minimized
Solution Approach 1:
The patent applies preliminary action by pre-calculating interpolated ordinate values at half distances between abscissa values before display. This creates a continuous waveform appearance from discrete points, making the curve profile recognizable while maintaining the precision of individual measured values through the interpolation process.
Solution Approach 2:
The interpolated values serve as intermediaries between discrete measured points, creating visual continuity without sacrificing the precision of original measurements. These intermediary points fill the gaps between measured values to produce a recognizable waveform shape.
Data Source
AI summary
The apparatus for displaying ordinate/abscissa value pairs on a display device with discrete display points in the abscissa and ordinate directions determines an interpolated ordinate value (YLint(s), YLint(S+1), YLint(S+2), YRint(S), YRint(S+1), YRint(S+2)) at half the abscissa distance between the respective abscissa value (S, S+1, S+2) and the respective abscissa value of the display points on the left-hand and right-hand sides. The apparatus then determines a maximum ordinate value (YMAX(S), YMAX(S+1), YMAX(S+2)) and a minimum ordinate value (YMIN(S), YMIN(S+1), YMIN(S+2)) from the ordinate value of the respective ordinate/abscissa value pair, the respectively interpolated ordinate value on the left-hand side (YLint(S), YLint(S+1), YLint(S+2)) and the respectively interpolated ordinate value (YRint(S), YRint(S+1), YRint(S+2)) on the right-hand side. Finally, the apparatus chooses a random or pseudo-random ordinate value (Yz(S), Yz(S+1), Yz(S+2)) between the determined maximum ordinate value (YMAX(S), YMAX(S+1), YMAX(S+2)) and the determined minimum ordinate value (YMIN(S), YMIN(S+1), YMIN(S+2)) for each abscissa value (S, S+1, S+2) of the display points. In this case, the ordinate resolution of the display points is reduced in comparison with the ordinate resolution of the ordinate/abscissa value pairs.