<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e183" altimg="si3.svg"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e193" altimg="si4.svg"><mml:msup><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> continuous rational motions using a conformal geometric algebra
نویسندگان
چکیده
Traditional rational motion design describes separately the translation of a reference point in body and rotation about it. This means that there is dependence upon choice point. When considering derivative motion, some approaches require transform to be unitary. paper resolves these issues by establishing for constructing free-form motions from specified control poses using multiplicative additive approaches. It also establishes more general non-unitary case. leads characterization at end segment terms pose linear angular velocity this, turn, ability join segments together with either C1- or G1-continuity.
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2022
ISSN: ['0377-0427', '1879-1778', '0771-050X']
DOI: https://doi.org/10.1016/j.cam.2022.114280