Methods and apparatus are disclosed for sampling image data (1400) and mapping the samples (R, G, B of Cl) to pixel sub-components which form a pixel element (R1-R6) of an LCD display (1402) so that each pixel sub-component has a different portion of the image (1400) mapped thereto and at least one of the pixel sub-components has two or more samples mapped thereto. The methods can be used with conventional color LCD displays that include pixels consisting of three non-overlapping red, green and blue rectangular pixel sub-elements or sub-components. The separately-controllable nature of individual RGB pixel sub-components is used to effectively increase a screen's resolution in one dimension. A scan conversion process maps samples (R, G, B of Cl) of the image data (1400) to individual pixel sub-components, including mapping two or more samples to at least one of the pixel sub-components. As a result, each of the pixel sub-components represents a different portion of the image (1400). The color values are independently generated for each of the red, green, and blue pixel sub-components based on different portions of the image, rather than the color values for the entire pixel being generated based on a single sample or the same portion of the image (1400).