Computer Aided Geometric Design - Special issue: Topics in CAGD
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Ten lectures on wavelets
Orthonormal bases of compactly supported wavelets II: variations on a theme
SIAM Journal on Mathematical Analysis
An introduction to wavelets
A frequency-domain analysis of head-motion prediction
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Animating rotation with quaternion curves
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Surface Modeling for CAD - Cam
Surface Modeling for CAD - Cam
A C/sup 2/-continuous B-spline quaternion curve interpolating a given sequence of solid orientations
CA '95 Proceedings of the Computer Animation
CA '96 Proceedings of the Computer Animation
A B-wavelet-based noise-reduction algorithm
IEEE Transactions on Signal Processing
The monogenic wavelet transform
IEEE Transactions on Signal Processing
Constructing 3D motions from curvature and torsion profiles
Computer-Aided Design
The smooth quaternion lifting scheme transform for multi-resolution motion analysis
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
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Smooth motion generation is an important issue in the computer animation and virtual reality areas. The motion of a rigid body consists of translation and orientation. The former is described by a space curve in 3-dimensional Euclidean space, while the latter is represented by a curve in the unit quaternion space. Although there exist well-known techniques for smoothing the translation data, smoothing the orientation data is yet to be explored due to the nonlinearity of the unit quaternion space. This paper presents a wavelet-based algorithm for smoothing noise-embedded motion data and the experiment shows the effectiveness of the proposed algorithm.