Advanced animation and rendering techniques
Advanced animation and rendering 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
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Visualizing quaternion rotation
ACM Transactions on Graphics (TOG)
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
Stratified sampling of spherical triangles
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Bernstein-Be´zier polynomials on spheres and sphere-like surfaces
Computer Aided Geometric Design
Smooth invariant interpolation of rotations
ACM Transactions on Graphics (TOG)
Fast construction of accurate quaternion splines
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Optimization: algorithms and consistent approximations
Optimization: algorithms and consistent approximations
Animating rotation with quaternion curves
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Dynamic Splines with Constraints for Animation
Dynamic Splines with Constraints for Animation
On-line locomotion generation based on motion blending
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
Spherical parametrization and remeshing
ACM SIGGRAPH 2003 Papers
IEEE Transactions on Visualization and Computer Graphics
Spherical blend skinning: a real-time deformation of articulated models
Proceedings of the 2005 symposium on Interactive 3D graphics and games
Statistical geometry representation for efficient transmission and rendering
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2005 Papers
Spatial keyframing for performance-driven animation
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Computer Aided Geometric Design
Spatial keyframing for performance-driven animation
ACM SIGGRAPH 2006 Courses
Constructing spherical curves by interpolation
Advances in Engineering Software
Skinning with dual quaternions
Proceedings of the 2007 symposium on Interactive 3D graphics and games
Surface and normal ensembles for surface reconstruction
Computer-Aided Design
Spatial keyframing for performance-driven animation
ACM SIGGRAPH 2007 courses
Spherical barycentric coordinates
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Meshless geometric subdivision
Graphical Models
Correction of Location and Orientation Errors in Electromagnetic Motion Tracking
Presence: Teleoperators and Virtual Environments
Kinematic convexity of spherical displacements and its application to collision prediction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Reusable skinning templates using cage-based deformations
ACM SIGGRAPH Asia 2008 papers
ACM SIGGRAPH Asia 2008 papers
Geometric skinning with approximate dual quaternion blending
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH Asia 2009 papers
Computer Aided Geometric Design
The rhombic dodecahedron map: an efficient scheme for encoding panoramic video
IEEE Transactions on Multimedia
A Riemannian Framework for Orientation Distribution Function Computing
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
Wavelet-Based Representation of Biological Shapes
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
New Riemannian techniques for directional and tensorial image data
Pattern Recognition
Higher-order smoothing splines versus least squares problems on Riemannian manifolds
Journal of Dynamical and Control Systems
An algorithm to compute averages on matrix Lie groups
IEEE Transactions on Signal Processing
Interpolating solid orientations with a C² -continuous B-spline quaternion curve
Edutainment'07 Proceedings of the 2nd international conference on Technologies for e-learning and digital entertainment
Blade geometry design with kinematic ruled surface approximation
Proceedings of the 2010 ACM Symposium on Applied Computing
Geodesic discriminant analysis on curved riemannian manifold
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 5
Population Shape Regression from Random Design Data
International Journal of Computer Vision
Nonparametric Regression between General Riemannian Manifolds
SIAM Journal on Imaging Sciences
Statistics of shape via principal geodesic analysis on lie groups
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Steady affine motions and morphs
ACM Transactions on Graphics (TOG)
Diffeomorphism invariant riemannian framework for ensemble average propagator computing
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
ICEC'06 Proceedings of the 5th international conference on Entertainment Computing
Applications of conformal geometric algebra in computer vision and graphics
IWMM'04/GIAE'04 Proceedings of the 6th international conference on Computer Algebra and Geometric Algebra with Applications
Ensembles for normal and surface reconstructions
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Least squares quasi-developable mesh approximation
Computer Aided Geometric Design
Fitting smoothing splines to time-indexed, noisy points on nonlinear manifolds
Image and Vision Computing
Averaging complex subspaces via a Karcher mean approach
Signal Processing
ADAPT: the agent development and prototyping testbed
Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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This article introduces a method for computing weighted averages on spheres based on least squares minimization that respects spherical distance. We prove existence and uniqueness properties of the weighted averages, and give fast iterative algorithms with linear and quadratic convergence rates. Our methods are appropriate to problems involving averages of spherical data in meteorological, geophysical, and astronomical applications. One simple application is a method for smooth averaging of quaternions, which generalizes Shoemake's spherical linear interpolation.The weighted averages methods allow a novel method of defining Bézier and spline curves on spheres, which provides direct generalization of Bézier and B-spline curves to spherical spline curves. We present a fast algorithm for spline interpolation on spheres. Our spherical splines allow the use of arbitrary knot positions; potential applications of spherical splines include smooth quaternion curves for applications in graphics, animation, robotics, and motion planning.