We have proposed a thermal display that can present a sudden temperature change using spatially divided warm and cold stimuli; the display exploits two characteristics of human thermal perception: the spatial resolution of thermal sensation is low, and the thermal threshold depends on the adapting temperature. The spatially distributed warm and cold stimuli enabled users to perceive the thermal sensation rapidly even if the cold stimulus was suddenly presented after the warm stimulus and vice versa. In this study, we propose the thermal presentation model in order to present arbitrary temperature that a human perceives when they touch an object. We implemented the application which presents temperature of virtual objects and qualitatively confirmed that the proposed model effectively works through the exhibition.