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Simulating virtual environments consumes a lot of computational cost where thousands of polygons [1-2] needs to be loaded. Such computational may increase by the memory usage of computer resources and the computer processing cost to simulate the virtual environments. Depending on corresponding virtual environments, some application such as three-dimensional (3D) games and simulation may require different computational cost. By taking an example of commercialize 3D games application, the developer intend to develop real-time adventure games with nice landscape but using low processing cost. This action however is limited as they could never bring real-time games without sacrifice other systems that might be implemented along with the 3D games. Among the example of the systems was collision detection, culling system, lighting, shadowing, pixel shader using Graphics Processing Unit (GPU), and rendering. These systems were implemented in order to increase the realistic of 3D games.
In order to design better system in visualizing the virtual environments, several important issues must be considered. For instance, most 3D applications need to maintain the suitable frame rates such as 30-60 frame per seconds (FPS) [2-6]. To achieve this requirement, the corresponding 3D games should be able to perform some optimization methods that could reduce the complexity of the virtual environments. However, it raised another issue where the balance between the virtual environment realism and the complexity of the applications must be considered [3, 7-8].
The realistic of the created dynamic virtual environments could be further improved by incorporating collision detection method for realistic effect. Collision detection has been widely discussed as one of the most required system to be put into various 3D simulation. For example, the meteorite fall simulation might require sophisticated collision detection method in order to measure the impact. All these simulations bring the virtual environment more like a real world where user is able to navigate and feels the surrounding by using haptic device. It is known that detecting interference or collision between 3D models in virtual environments requires high computational cost [3, 9-12].
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