A two-step algorithm of smooth spline generation on Riemannian manifolds

Animating rotation with quaternion curves

Ken Shoemake · ACM SIGGRAPH Computer Graphics · 1985 · 1.7K citations

Architecture, Computer Systems, 3D Modeling +16

Cubic Splines on Curved Spaces

Lyle Noakes, G. Heinzinger, Brad Paden · IMA Journal of Mathematical Control and Information · 1989 · 269 citations

Natural Sciences, Mathematics, Physics +17

The dynamic interpolation problem: On Riemannian manifolds, Lie groups, and symmetric spaces

P.E. Crouch, F. Silva Leite · Journal of Dynamical and Control Systems · 1995 · 222 citations

Natural Sciences, Mathematics, Physics +14

On the generation of smooth three-dimensional rigid body motions

Miloš Žefran, V. Kumar, Christopher B. Croke · IEEE Transactions on Robotics and Automation · 1998 · 195 citations · Full text

Engineering, Mathematics, Dynamical Systems +16

Be´zier Curves on Riemannian Manifolds and Lie Groups with Kinematics Applications

F. C. Park, Bahram Ravani · Journal of Mechanical Design · 1995 · 187 citations

Natural Sciences, Mathematics, Computational Geometry +15