Abstract
This chapter explains how the previously introduced mathematical formulas, defining shapes and transformation matrices, can be extended to time-dependent models of moving shapes. Motions of rigid shapes and shape morphing transformations are considered. Besides pseudo-physical motions, definitions based on Newtonian physics are also introduced.
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References
How Computer Animation Works, https://entertainment.howstuffworks.com/computer-animation.htm.
Thalmann, N.M., Thalmann, D.,Computer Animation. Theory and Practice, Springer, 1990.
Watt, A. and Watt, M., Advanced Animation and Rendering Techniques. Theory and Practice, Addison-Wesley, 1992.
Fishbane, P., Gasiorowicz, S., Thornton, S., Physics, 2nd ed., Prentice Hall, 1996.
Vince, J., Virtual Reality systems, Addison-Wesley, 1995.
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Sourin, A. (2021). Motions. In: Making Images with Mathematics. Undergraduate Topics in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-030-69835-5_4
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DOI: https://doi.org/10.1007/978-3-030-69835-5_4
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Online ISBN: 978-3-030-69835-5
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