Computer Aided Geometric Design - Special issue: Topics in CAGD
Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Automatic fairing algorithm for B-spline curves
Computer-Aided Design
Animation of dynamic legged locomotion
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Interactive spacetime control for animation
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Smooth interpolation of orientations with angular velocity constraints using quaternions
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
A general construction scheme for unit quaternion curves with simple high order derivatives
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
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Collision Detection and Response for Computer Animation
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Realistic animation of rigid bodies
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Motion Smoothing Using Wavelets
Journal of Intelligent and Robotic Systems
General Construction of Time-Domain Filters for Orientation Data
IEEE Transactions on Visualization and Computer Graphics
Fairing point sets using curvature
Computer-Aided Design
Multidimensional Systems and Signal Processing
PDE-based filtering of motion sequences
Journal of Computational and Applied Mathematics
Movement identification analysis based on motion capture
EUROCAST'07 Proceedings of the 11th international conference on Computer aided systems theory
Nonlinear multiscale analysis of motion trajectories
ICCVG'10 Proceedings of the 2010 international conference on Computer vision and graphics: Part I
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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Motion capturing is widely used for generating realistic motions. A 3D input device captures a sequence of 6 DOF rigid motion samples. The sampled data consist of two components, translation and orientation; the former is represented by a vector in R3 and the latter by a rotation matrix in the rotation group, SO(3). Since the sequence of data contain sampling noises, the captured motion is not smooth and wiggles along the moving path. There are well-known fairing algorithms in Euclidean space based on difference geometry. Extending these for the motion data, we present a new fairing algorithm. The new algorithm iteratively minimizes the energy function reflecting the forces and torques, exerted on a moving object, to perform motion fairing.