Abstract
This paper develops a geometric construction algorithm for designing a second order geometrically (G 2) continuous motion. It combines results in kinematics with the notion of geometric continuity from the field of Computer Aided Geometric Design and develops geometric conditions for piecing two motion segments smoothly. A complete algorithm is presented for constructing a G 2 continuous piecewise Bézier type motion. The results have applications in mechanical systems animation, computer vision, robot trajectory planning and key framing in computer graphics.
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© 1993 Springer Science+Business Media Dordrecht
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Ge, Q.J., Ravani, B. (1993). Computational Geometry and Motion Approximation. In: Angeles, J., Hommel, G., Kovács, P. (eds) Computational Kinematics. Solid Mechanics and Its Applications, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8192-9_21
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DOI: https://doi.org/10.1007/978-94-015-8192-9_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4342-9
Online ISBN: 978-94-015-8192-9
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