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• W142158997 abstract "We introduce a new presentation of the two dimensional rigid transformation which is more concise and efficient than the standard matrix presentation. By modifying the ordinary dual number construction for the complex numbers, we define the ring of anti-commutative dual complex numbers, which parametrizes two dimensional rotation and translation all together. With this presentation, one can easily interpolate or blend two or more rigid transformations at a low computational cost. We developed a library for C++ with the MIT-licensed source code [13]." @default.
• W142158997 created "2016-06-24" @default.
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• W142158997 date "2014-01-01" @default.
• W142158997 modified "2023-10-10" @default.
• W142158997 title "Anti-commutative Dual Complex Numbers and 2D Rigid Transformation" @default.
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• W142158997 doi "https://doi.org/10.1007/978-4-431-55007-5_17" @default.
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