Curve-to-curve associations in spline-based inbetweening and sweeping-Reference-Cited by-同舟云学术

Curve-to-curve associations in spline-based inbetweening and sweeping

Published:1989-07 Issue:3 Volume:23 Page:167-174
ISSN:0097-8930
Container-title:ACM SIGGRAPH Computer Graphics
language:en
Short-container-title:SIGGRAPH Comput. Graph.

Author:

Bartel R. H.¹,Hardock R. T.¹

Affiliation:

1. University of Waterloo, Department of Computer Science, Computer Graphics Laboratory, Waterloo, Ontario, Canada

Abstract

We are concerned in this paper with associations between spline curves that will hold at all inbetween positions when the control points of these curves are used as key points for animation or sweeping. It is established that any association between two spline curves that can be expressed as the equality of two linear mappings will hold throughout an inbetweening process provided the inbetweening trajectories are coordinated splines that uniquely interpolate the control-point key positions. Multiple associations are possible, so long as the basic requirements of linearity and coordination are observed.

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Graphics and Computer-Aided Design,General Computer Science

Link

https://dl.acm.org/doi/pdf/10.1145/74334.74350

Reference9 articles.

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2. 3 . de Boor Carl. A Practical Guide to Splines. Springer-Verlag (1978). 3. de Boor Carl. A Practical Guide to Splines . Springer-Verlag (1978).

3. 4 . Farin Gerald. Curves and Surfaces for Computer Aided Geometric Design. Academic Press (1988). 4. Farin Gerald. Curves and Surfaces for Computer Aided Geometric Design . Academic Press (1988).

4. 5 . Forsythe George Malcolm Michael and Moler Cleve. Computer Methods for Mathematical Computations. Prentice-Hall (1977). 5. Forsythe George Malcolm Michael and Moler Cleve. Computer Methods for Mathematical Computations . Prentice-Hall (1977).

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