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Published Articles >> Table of Contents >> Abstract
10th International Multimedia Modelling Conference
p. 93
Detection of Critical Points for Shape Metamorphosis Animation
Tomoyuki Nieda, Hosei University
Alexander Pasko, Hosei University; Kanazawa Institute of Technology
Tosiyasu L. Kunii, Kanazawa Institute of Technology
Full Article Text:
  
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/MULMM.2004.1264972
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| Abstract |
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We apply topological analysis to functionally based
shape metamorphosis. The time-dependent shape is
defined using homotopy. The advantage of this method is
the automatic generation of the intermediate shapes
between the key shapes of different topology types. To
complete the method, we have to find a way to
automatically detect the critical points on the time axis
while the shape undergoes topological changes. These
critical points can be later used for generation of non-linear
time steps distribution along the time axis, for
example, for providing ease-in/ease-out effects in
animation. We present a new method for analysis of
shape metamorphosis based on the Morse theory,
oriented to analysis of a height function. Although we
analyze the shape in an N-dimensional space, the height
function is defined in the N+2 dimensional space with N
point coordinates and two additional coordinates of the
defining function and time values. We can analyze how
the critical points are changing in the given height level,
which takes only zero value of the shape defining function.
In this paper, we present this method in comparison with
typical Morse theory analysis using simple objects in 2D
and 3D spaces.
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 Additional Information
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Index Terms- Metamorphosis, critical points, homotopy,
Morse theory
Citation:
Tomoyuki Nieda, Alexander Pasko, Tosiyasu L. Kunii,
"Detection of Critical Points for Shape Metamorphosis Animation,"
mmm,
p. 93,
10th International Multimedia Modelling Conference,
2004
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