The VQM-Group and its Applications
نویسندگان
چکیده
In this paper, we introduce the VQM-set and study some of its algebraic properties. Its elements are triplets consisting of a vector, a quaternion and a matrix, hence the VQM abbreviation. Operations such as addition, scalar multiplication, are defined on the VQM-set, which turn it into a vector space. A special multiplication turns a subset of the VQM-set into a group, called the VQM-group. We show how this VQM-group could be used to represent the generalized transformations in three-dimensional computer graphics, with translation, rotation and non-uniform scaling factor components. Mathematics Subject Classification: 15A33, 15A30, 20H25, 15A03.
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