Abstract
The localization of the nearest parts of an object to a device is usually solved by means of a proximity measurement of each one of the features that form this object to the device. In order to perform this efficiently, hierarchical decompositions of the space or of the object are used, so that the features of objects are classified into several types of cells, usually rectangular. In this paper we propose a solution based on the classification of a set of points located on the device in a spatial decomposition named tetra-tree. Using this type of spatial decomposition gives us several qualitative properties that allow us a more realistic and intuitive visual interaction. In order to show these properties we have compared an interaction system based on tetra-trees to one based on octrees.
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