System and Method for Displaying Images Based on Circular Pixels with Six Chords for Video Panels and Graphics Cards Using the Ishchenko Chord Fractal

 

Applicant: Ishchenko V.I.
Title of Invention: System and Method for Displaying Images Based on Circular Pixels with Six Chords
for Video Panels and Graphics Cards Using the Ishchenko Chord Fractal
Abstract
The invention relates to image and video display technology. A pixel structure is proposed in the form of a circle approximated by six chords, constructed on the basis of the Ishchenko chord fractal. Such a
structure provides more uniform area coverage, reduces visual artifacts, and improves color signal
blending quality. The invention can be applied in video panels, LED/VR displays, and graphics cards.
Technical Field
The invention relates to the field of image and video display, in particular to pixel structure design and
color signal processing methods for high-quality image reproduction.
Background Art
Modern displays generally use square or triangular pixels, which often cause visual artifacts, especially
along diagonals and when scaling images. The proposed technology applies the Ishchenko chord fractal
to improve uniform coverage and enhance color accuracy.
Summary of the Invention
• Each pixel is formed as a circle with six chords positioned at angles of 0°, 60°, 120°, 180°, 240°, and 300°
relative to the center.
• The chords are constructed based on the principles of the Ishchenko chord fractal, ensuring optimal
distribution of lines inside the circle.
• Pixel centers are arranged in a hexagonal (triangular) lattice, where the vertical distance between rows is
√3/2 × pitch and the horizontal distance is pitch, with alternating shifted rows.
• Each pixel receives a color signal (RGB or YUV) and averages it across the circular area, forming the
resulting video signal.
• Subpixel processing is possible to further improve image quality.
Advantages
• Reduction of visual artifacts
• Smooth transitions between pixels
• Efficient use of display surface area
• Improved color accuracy and anti-aliasing
• Hardware implementation in video panels and GPUs
Examples of Implementation
• 8K video panel with pixels of 0.2 mm diameter arranged in a hexagonal grid.
• Graphics card processing video streams through the hexagonal pixel structure with circular signal
averaging.
• VR headset with high pixel density, where each 'chord pixel' delivers natural brightness and color
rendering.
Description of Figures

Fig.1 — Single circular pixel with six chords according to the Ishchenko fractal.

Fig.2 — Hexagonal grid of multiple pixels.

Fig.3 — Color signal processing for one pixel.

Claims
A pixel for image display comprising a circle with six equal chords, constructed according to the Ishchenko
chord fractal, positioned at angles of 0°, 60°, 120°, 180°, 240°, and 300° relative to the center.
A video panel or GPU system that forms an image from a plurality of such pixels, where pixel centers are arranged in a hexagonal lattice, and each pixel receives and processes a color signal.
A method of displaying images based on said pixels, including receiving a signal, averaging it across the circular area, and generating the final video signal for display