Non-linear Scale Graduations for Conformal Aircraft Displays

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Solution Overview

Problem

In aircraft display units, the three-dimensional terrain representation using OpenGL leads to stretching and distortion of terrain features at different distances from the aircraft, causing a mismatch between symbolic attitude information and the terrain image, which can compromise flight safety.

Innovation Solution

A system and method for generating non-linearly spaced graduations for symbolic linear scales that are conformal to the three-dimensional perspective of a scene outside the aircraft, using navigation reference data and a symbology generator to produce symbology data that is merged with pixel image data, ensuring accurate representation on the display unit.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of manufacture

If a linear scale with equally-spaced graduations is used for symbolic attitude information, then the scale is simple and easy to manufacture, but it creates a non-conformality and mismatch with the perspective-distorted terrain image

Engineering Contradiction:
Improveease of generating symbolic scaleVSAvoidconformality between symbology and terrain image
Core Design Contradiction:
Ease of manufactureVSManufacturing precision

Solution Approach 1:

The patent transforms the graduation spacing from a linear parameter to a non-linear parameter that varies according to the perspective projection. The spacing between graduations is adjusted based on the distance from the center of the image, creating a conformal scale that matches the distorted terrain representation while maintaining mathematical precision through a defined transformation function.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If perspective projection is used to render three-dimensional terrain on a two-dimensional screen, then the terrain depth and perspective are accurately represented, but stretching and distortion of terrain features occur at different distances from the aircraft

Engineering Contradiction:
Improveaccuracy of terrain depth representationVSAvoiddistortion of terrain features
Core Design Contradiction:
Measurement precisionVSShape

Solution Approach 1:

Instead of trying to correct the distorted terrain image back to a non-distorted view, the patent inverts the approach by distorting the symbolic attitude scale to match the terrain distortion. The graduations are spaced non-linearly to correspond to the perspective projection, so that the scale itself conforms to the distorted background rather than attempting to restore the original geometry.

Inventive Principle:
Principle #13The other way round (Inversion)

3Measurement precision

If identical objects are projected onto the near plane from different positions within the frustum, then the three-dimensional perspective is captured, but the objects appear stretched and distorted on the near plane

Engineering Contradiction:
Improveaccuracy of perspective projectionVSAvoiddistortion of object shape
Core Design Contradiction:
Measurement precisionVSLoss of information

Solution Approach 1:

The patent applies different spacing characteristics to different regions of the scale. graduations near the center of the image are spaced differently from those near the periphery, with the spacing adjusted locally to account for the perspective distortion at each position. This creates a piecewise conformal transformation that preserves accuracy across the entire field of view.

Inventive Principle:
Principle #3Local quality

Data Source

PatentUS8344911B1System, module, and method for generating non-linearly spaced graduations for a symbolic linear scale
Publication Date: 2013.01.01 ROCKWELL COLLINS INC
  • US8344911B1 patent drawing
  • US8344911B1 patent drawing
  • US8344911B1 patent drawing

AI summary

Present novel and non-trivial system, module, and method for generating non-linearly spaced graduations for a symbolic linear scale are disclosed. Symbology data representative of a scale having non-linear graduations is generated as a function of a graduation reference assigned to each graduation, navigation reference data provided from an appropriate source, and a constant. Navigation reference data comprises pitch attitude data and/or aircraft heading data, from which a symbolic pitch attitude scale and/or heading scale is generated. Current attitude and/or heading may be used as a central reference from which spacing is measured, and the value of the constant is dependent on the size of the scale occupied on the screen of a display unit. Each symbolic linear scale may be merged with data representative of the scene outside the aircraft and presented on the screen along with a flight path predictor mapped to the non-linear scale.