A method for decoding high-dynamic range, HDR, image data with a processor, the method comprising: receiving a coded bitstream comprising HDR image data including a compressed tone-mapped image in a standard-based compression format and HDR reconstruction data, the HDR reconstruction data including a quantized luma ratio image comprising log ratio pixel values, luma de-quantization parameters for the quantized log ratio pixel values, one or more sets of quantized residual chroma values and chroma de-quantization parameters for the one or more set of quantized residual chroma values; parsing the coded bitstream to extract the compressed tone-mapped image and the HDR reconstruction data; generating a decoded base image based on the compressed tone-mapped image; extracting the luma de-quantization parameters from the HDR reconstruction data; extracting the quantized luma ratio image; generating a dequantized luma ratio image based on the quantized luma ratio image and the luma de-quantization parameters; extracting the chroma de-quantization parameters; extracting the one or more sets of quantized residual chroma values; generating one or more sets of dequantized residual chroma values based on the chroma de-quantization parameters and the one or more sets of quantized residual chroma values; linearizing the dequantized luma ratio image to generate a linearized luma ratio image; and generating an output HDR image by: A) generating an intermediate image by adding the one or more sets of dequantized residual chroma values to the decoded base image; and multiplying the intermediate image with the linearized luma ratio image to generate the output HDR image; or B) summing i) the decoded base image multiplied by the linearized luma ratio image and ii) the one or more sets of dequantized residual chroma values multiplied by the linearized luma ratio image, to generate the output HDR image. receiving a coded bitstream comprising HDR image data including a compressed tone-mapped image in a standard-based compression format and HDR reconstruction data, the HDR reconstruction data including a quantized luma ratio image comprising log ratio pixel values, luma de-quantization parameters for the quantized log ratio pixel values, one or more sets of quantized residual chroma values and chroma de-quantization parameters for the one or more set of quantized residual chroma values; parsing the coded bitstream to extract the compressed tone-mapped image and the HDR reconstruction data; generating a decoded base image based on the compressed tone-mapped image; extracting the luma de-quantization parameters from the HDR reconstruction data; extracting the quantized luma ratio image; generating a dequantized luma ratio image based on the quantized luma ratio image and the luma de-quantization parameters; extracting the chroma de-quantization parameters; extracting the one or more sets of quantized residual chroma values; generating one or more sets of dequantized residual chroma values based on the chroma de-quantization parameters and the one or more sets of quantized residual chroma values; linearizing the dequantized luma ratio image to generate a linearized luma ratio image; and generating an output HDR image by: A) generating an intermediate image by adding the one or more sets of dequantized residual chroma values to the decoded base image; and multiplying the intermediate image with the linearized luma ratio image to generate the output HDR image; or B) summing i) the decoded base image multiplied by the linearized luma ratio image and ii) the one or more sets of dequantized residual chroma values multiplied by the linearized luma ratio image, to generate the output HDR image. parsing the coded bitstream to extract the compressed tone-mapped image and the HDR reconstruction data; generating a decoded base image based on the compressed tone-mapped image; extracting the luma de-quantization parameters from the HDR reconstruction data; extracting the quantized luma ratio image; generating a dequantized luma ratio image based on the quantized luma ratio image and the luma de-quantization parameters; extracting the chroma de-quantization parameters; extracting the one or more sets of quantized residual chroma values; generating one or more sets of dequantized residual chroma values based on the chroma de-quantization parameters and the one or more sets of quantized residual chroma values; linearizing the dequantized luma ratio image to generate a linearized luma ratio image; and generating an output HDR image by: A) generating an intermediate image by adding the one or more sets of dequantized residual chroma values to the decoded base image; and multiplying the intermediate image with the linearized luma ratio image to generate the output HDR image; or B) summing i) the decoded base image multiplied by the linearized luma ratio image and ii) the one or more sets of dequantized residual chroma values multiplied by the linearized luma ratio image, to generate the output HDR image. A) generating an intermediate image by adding the one or more sets of dequantized residual chroma values to the decoded base image; and multiplying the intermediate image with the linearized luma ratio image to generate the output HDR image; or B) summing i) the decoded base image multiplied by the linearized luma ratio image and ii) the one or more sets of dequantized residual chroma values multiplied by the linearized luma ratio image, to generate the output HDR image.