Pixel Gamut Excursion Graph with Radial Boundary Measurement
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Solution Overview
Problem
Existing color grading systems face difficulties in accurately determining and visualizing color excursions outside defined color gamuts, particularly due to the non-linear nature of overlapping gamut boundaries and the challenge of identifying individual pixel colors relative to gamut boundaries in the CIE chromaticity diagram.
Innovation Solution
A system that generates a gamut excursion graph to visually communicate the extent to which pixel colors are outside a specified gamut, using a line segment from a white point to the gamut edge, with a radial angle and distance measurement, displayed on a user interface.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the CIE chromaticity diagram is used to visualize color gamuts, then color distribution can be seen, but it becomes difficult to accurately determine how far off colors are from gamut boundaries due to the non-linear nature of overlapping gamut boundaries and the small area between gamut triangles
Solution Approach 1:
The patent transforms the two-dimensional CIE chromaticity diagram into a three-dimensional visualization by introducing a radial distance dimension. Colors are plotted not only by their chromaticity coordinates (x, y) but also by their radial distance from the gamut boundary, creating a polar coordinate system where the distance from the origin represents the magnitude of gamut excursion. This dimensional transformation allows colorists to easily perceive both the direction and extent of gamut violations.
Solution Approach 2:
The patent changes the parameter representation from standard chromaticity coordinates to a transformed coordinate system that includes radial distance and angular position. By expressing gamut excursion in terms of radial distance (how far outside the gamut) and angle (which boundary is violated), the system converts an abstract geometric problem into an intuitive visual measurement that directly answers the colorist's questions about gamut compliance.
2Quantity of substance
If the CIE chromaticity diagram displays all colors visible to humans, then comprehensive color coverage is achieved, but the small area between gamut boundaries makes it difficult to assess individual pixel color excursions
Solution Approach 1:
The patent applies local quality by creating a magnified or expanded view specifically for gamut boundary regions. Instead of trying to measure excursions in the compressed two-dimensional space, the system transforms the local geometry around gamut boundaries into an expanded radial representation where excursions are uniformly scaled and easily measurable, regardless of their position in the chromaticity diagram.
Solution Approach 2:
The patent introduces an intermediary transformation layer between the CIE chromaticity coordinates and the visual display. This intermediary polar coordinate transformation acts as a mediator that converts the non-linear, compressed chromaticity space into an expanded space where gamut excursions are uniformly represented, making individual pixel assessments precise while maintaining comprehensive color coverage.
3Loss of information
If colorists manually assess each pixel's position relative to gamut boundaries in the CIE chromaticity diagram, then detailed color analysis is possible, but the process is time-consuming and inefficient
Solution Approach 1:
The patent performs preliminary computational transformations of all pixel colors into the radial gamut excursion coordinate system before display. By pre-calculating the radial distance and angular position for every pixel, the system eliminates the need for manual assessment during color grading. The colorist simply reviews the pre-processed visual representation, maintaining full analytical accuracy while dramatically improving workflow efficiency.
Solution Approach 2:
The patent creates a transformed copy or representation of the color data in a different coordinate system. Instead of working directly with the complex CIE chromaticity coordinates, the system generates a copied visualization in polar coordinates that preserves all color information but presents it in an easily interpretable format, enabling rapid assessment without loss of analytical precision.
Data Source
AI summary
A test and measurement device includes a graphical display that may act as an adjunct to a CIE chromaticity diagram 100 when analyzing color images. The graphical display shows indications of excursions of pixel color that are outside the boundary of a selected gamut. The graphic display may show the indications of excursions relative to one or more reference points.


