Encoding both the RGB color data and the location from a 2D image into a dual quaternion This unconventional approach with multiple advantages Note dual quaternions are not typically used like this in the majority of research dual quaternions are primarily employed for 3D transformations however this little example shows the potential for convertsion to from rgb 2d to dual quaternion https xbdev net dual_quaternions Function to convert RGB values and coordinates to a dual quaternion function rgbAndCoordinatesToDualQuaternion x y r g b Normalize pixel coordinates to the range 0 1 const normalizedX x imageWidth const normalizedY y imageHeight Normalize RGB values to the range 0 1 const normalizedR r 255 const normalizedG g 255 const normalizedB b 255 Creating a dual quaternion const realPart 0 normalizedR normalizedG normalizedB const dualPart 0 0 normalizedX normalizedY Dual part encodes the spacial Construct the dual quaternion const dualQuaternion realPart dualPart return dualQuaternion Function to convert a dual quaternion back to pixel coordinates and RGB values function dualQuaternionToRgbAndCoordinates dualQuaternion Extracting the real part const a r g b dualQuaternion 0 Denormalize pixel coordinates and RGB values const pixelR Math round r 255 const pixelG Math round g 255 const pixelB Math round b 255 Extracting the dual part spacial channel const pixelX dualQuaternion 1 2 imageWidth const pixelY dualQuaternion 1 3 imageHeight return pixelX pixelY pixelR pixelG pixelB Example values for a pixel in a 2D image const imageWidth 800 Replace with the actual image width const imageHeight 600 Replace with the actual image height const pixelX 100 X coordinate of the pixel const pixelY 50 Y coordinate of the pixel const originalR 128 Red component const originalG 64 Green component const originalB 32 Blue component Convert pixel coordinates and RGB values to Dual Quaternion const dualQuat rgbAndCoordinatesToDualQuaternion pixelX pixelY originalR originalG originalB Convert Dual Quaternion back to pixel coordinates and RGB values const resultX resultY resultR resultG resultB dualQuaternionToRgbAndCoordinates dualQuat Display the results console log Original Pixel pixelX pixelY RGB originalR originalG originalB console log Dual Quaternion dualQuat console log Converted Pixel resultX resultY RGB resultR resultG resultB
malize pixel coordinates and RGB values const pixelR Math round r 255 const pixelG Math round g 255 const pixelB Math round b 255 Extracting the dual part spacial channel const pixelX dualQuaternion 1 2 imageWidth const pixelY dualQuaternion 1 3 imageHeight return pixelX pixelY pixelR pixelG pixelB Example values for a pixel in a 2D image const imageWidth 800 Replace with the actual image width const imageHeight 600 Replace with the actual image height const pixelX 100 X coordinate of the pixel const pixelY 50 Y coordinate of the pixel const originalR 128 Red component const originalG 64 Green component const originalB 32 Blue component Convert pixel coordinates and RGB values to Dual Quaternion const dualQuat rgbAndCoordinatesToDualQuaternion pixelX pixelY originalR originalG originalB Convert Dual Quaternion back to pixel coordinates and RGB values const resultX resultY resultR resultG resultB dualQuaternionToRgbAndCoordinates dualQuat Display the results console log Original Pixel pixelX pixelY RGB originalR originalG originalB console log Dual Quaternion dualQuat console log Converted Pixel resultX resultY RGB resultR resultG resultB