This paper presents a geospatial collision detection technique consisting of two methods: Find Object Distance (FOD) and Find Reflection Angle (FRA). We show how the geospatial collision detection technique using a computer vision system detects a computer generated virtual object and a real object manipulated by a human user and how the virtual object can be reflected on a real floor after being detected by a real object. In the geospatial collision detection technique, the FOD method detects the real and virtual objects, and the FRA method predicts the next moving directions of virtual objects. We demonstrate the two methods by implementing a floor based Augmented Reality (AR) game, Ting Ting, which is played by bouncing fire-shaped virtual objects projected on a floor using bamboo-shaped real objects. The results reveal that the FOD and the FRA methods of the geospatial collision detection technique enable the smooth interaction between a real object manipulated by a human user and a virtual object controlled by a computer. The proposed technique is expected to be used in various AR applications as a low cost interactive collision detection engine such as in educational materials, interactive contents including games, and entertainment equipments.