1998
DOI: 10.1002/(sici)1099-1778(199804/06)9:2<95::aid-vis177>3.0.co;2-t
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Periodic motion synthesis and Fourier compression

Abstract: Periodic motion is an important class of motion to synthesize, but it is not easy to compute it robustly and efficiently. In this paper we propose a simple, robust and efficient method to compute periodic motion from linear equation systems. The method first calculates the response of the system when an external periodic force is applied during one period, and then sums up the periodically shifted versions of the system response to provide the periodic solution. It is also shown that Fourier decomposition is v… Show more

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Cited by 7 publications
(5 citation statements)
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“…However, finding a periodic solution using a direct method such as Euler's method not only takes time but also is not necessarily stable. Thus, in this research the steady solution is found using the superposition method [6].…”
Section: Periodic Solutionmentioning
confidence: 99%
“…However, finding a periodic solution using a direct method such as Euler's method not only takes time but also is not necessarily stable. Thus, in this research the steady solution is found using the superposition method [6].…”
Section: Periodic Solutionmentioning
confidence: 99%
“…In a similar way, we synthesize stochastic wind fields [Shinya and Fournier 1992;Stam and Fiume 1993] by applying a different spectrum filter. When applying the wind field to trees, since the force is oscillatory in nature, the corresponding motions are also periodic and can be solved more robustly and efficiently in the frequency domain [Stam 1997;Shinya et al 1998]. Aoki et al [1999] coupled physically-based animations of plants with image morphing techniques as an efficient alternative to expensive physically-based plant simulation and synthesis.…”
Section: Related Workmentioning
confidence: 99%
“…x (k) ) H T x (k+1) + G T d (k+1) (6) x ˆ(k) compression, two key components are furnished for each compressed spectrum. The first component is a reduced set of wavelet coefficients.…”
Section: Theorymentioning
confidence: 99%
“…FT has been widely used for data compression. , FT is useful for signal processing, such as convolution, correlation, and smoothing. , A two-dimensional Fourier compression method was devised and applied to IMS data in both the drift time and sample acquisition dimensions …”
mentioning
confidence: 99%