Abstract
Locating sampling points for cubic splines is investigated in this paper. The direct application of the proposal is for designing motion of objects for computer animation. The method consists of two parts: (i) obtaining the relative position of the sampling points, and (ii) mapping the sampling points on the cubic spline interpolant based on the relative position sequence obtained in (i).
The obtained results may be used for design of motion for phenomena described parametrically.
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References
Rogers, D F and Adams, J A, Mathematical elements for computer graphics McGraw-Hill (1976)
de Boor, C, A practical guide to splines Springer-Verlag (1978)
Lasseter, J ‘Principles of traditional animation applied to 3D computer animation’ Comput. Gr (1987) Vol.21 No.4 pp.35–44
Kochanek, D H U and Bartels, R H ‘Interpolating splines with local tension, continuity, and bias control’ Comput. Gr. (July 1984) Vol.18 No.3 pp.33–41
Steketee, S N and Badler, N I ‘Parametric Keyframe Interpolation Incorporating Kinetic Adjustment and Phrasing Control’ Comput. Gr. (1985) Vol.19 No.3 pp.255–262
Reynolds, C W ‘Flocks, herds, and schools: a distributed behavioral model’ Comput. Gr. (1987) Vol.21 No.4 pp.25–34
Brodlie, K W ‘A review of methods for curve and function drawing’(in Mathematical Methods in Computer Graphics and Design, K.W.Brodlieed.) Academic Press (1980)
Sederberg, T W and Anderson, D.C. ‘Implicit representation of parametric curves and surfaces’ Comput. Vis., Graph. and Image Proc.(1984) Vol.28 pp.72–84
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© 1988 Springer-Verlag Berlin Heidelberg
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Harada, K., Nakamae, E. (1988). Locating Sampling Points for Cubic Splines. In: Magnenat-Thalmann, N., Thalmann, D. (eds) New Trends in Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83492-9_1
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DOI: https://doi.org/10.1007/978-3-642-83492-9_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83494-3
Online ISBN: 978-3-642-83492-9
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