7 April 1995 Cartoon animation based on a multiscale curve representation with Lagrangian dynamics
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Abstract
By using the wavelet transform, in our previous work we developed a hierarchical planar curve descriptor which decomposes a curve into components of different scales so that the coarsest scale components carry the global approximation information while the finer scale components contain the local detailed information. In this research, we extend the work to a multiscale description of cartoon characters and propose a framework of cartoon animation and morphing. We perform the wavelet transforms on the curves that describe cartoon shapes and use the multiscale coefficients as the control points for shape manipulation. To facilitate animation, we model the motion of a cartoon character with the Lagrangian dynamic equation where the multiscale curve is driven by some internal and external forces. The spatial and frequency localization property of the multiscale curve model results in sparse and diagonally dominant representations of the mass and stiffness matrices of the Lagrangian equation so that the computation can be greatly simplified. To further simplify this model, we also consider an approximating model which consists of a set of a decoupled system of ODEs. The motion parameters can be extracted from some given sequence of real motion. This set of parameters which contain the kinematic information of control points is then used to generate a similar type of motion for cartoon characters. Experiments of the proposed morphing and motion algorithm are conducted to demonstrate its performance.
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Chun-Hsiung Chuang, C.-C. Jay Kuo, "Cartoon animation based on a multiscale curve representation with Lagrangian dynamics", Proc. SPIE 2410, Visual Data Exploration and Analysis II, (7 April 1995); doi: 10.1117/12.205970; https://doi.org/10.1117/12.205970
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KEYWORDS
Motion models

Solid modeling

Wavelet transforms

Kinematics

Matrices

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