Product design system and design image correction apparatus

A product design system, comprising:

• a processor configured to:
• receive first design image data of a first color space and information associated with a display environment of an external apparatus, wherein the display environment of the external apparatus includes information related to one of a color space or a gamma factor of a display screen of the external apparatus;
• generate a look-up table for conversion of the first color space into a second color space, wherein the generation of the look-up table is based on the first design image data and the information associated with the display environment of the external apparatus, and the second color space is represented with a thermochromic material;
• receive a correction request from the external apparatus;
• execute, based on the correction request, a correction process including at least one of a drawing correction or a color tone correction on the first design image data to generate second design image data;
• convert the second design image data into third design image data of the second color space based on the generated look-up table;
• control transmission of the third design image data to the external apparatus;
• receive a decorating request from the external apparatus;
• convert the second design image data into fourth design image data of the second color space based on the received decorating request;
• and
• control transmission of the fourth design image data to a decorating apparatus for decoration of a surface of a product, where the decorating apparatus is different from the external apparatus.