Wavelet-based coding systems commonly employ uniform scalar deadzone quantization (USDQ) together with a bitplane coding strategy to progressively refine image quality. Our previous work presents a quantization scheme that employs 2 step sizes depending on the magnitude of the coefficients. This 2-step scalar deadzone quantization (2SDQ) scheme is introduced in the framework of JPEG2000 by modifying all coefficients within a codeblock to enhance the quality of the image while transmitting fewer bitplanes than those needed with a conventional USDQ scheme. This paper extends our prior work by applying the 2SDQ in a subblock level, i.e., in small sets of coefficients, called cells, selected within a codeblock. Combined with rate-distortion optimization techniques, the proposed cell-based 2SDQ can help to code high quality images employing even fewer bitplanes than those needed with our previous strategy. This may be especially useful for high-dynamic range images or for devices with constrained resources.