Smooth interpolation of orientations with angular velocity constraints using quaternions
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Matrix animation and polar decomposition
Proceedings of the conference on Graphics interface '92
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
Fast construction of accurate quaternion splines
Proceedings of the 24th 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
Geometric constraint solver using multivariate rational spline functions
Proceedings of the sixth ACM symposium on Solid modeling and applications
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Problem Reduction to Parameter Space
Proceedings of the 9th IMA Conference on the Mathematics of Surfaces
Interpolating and Approximating Moving Frames Using B-splines
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
Modeling and Deformation of Arms and Legs Based on Ellipsoidal Sweeping
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Intersecting a freeform surface with a general swept surface
Computer-Aided Design
Steady affine motions and morphs
ACM Transactions on Graphics (TOG)
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In a simple approach to the affine motion interpolation problem, an affine spline motion is generated that interpolates a given sequence of keyframes and approximately satisfies rigidity constraints and certain optimization criteria. An affine spline motion is generated so as to interpolate the given keyframes, and then it is progressively refined by knot insertion and degree elevation using an iterative optimization procedure.