Quaternions, Interpolation and Animation

By Erik Bjørnager Dam, M. Koch, Martin Lillholm. 2000

346 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Skinning with dual quaternions (2007, background): “We assume that the reader is already familiar with regular quaternions, otherwise see for example [Dam et al. 1998; Hanson 2006].”
3D Pictorial Structures for Multiple View Articulated Pose Estimation (2013, methodology): “For this process we use the unit quaternion representation of rotations [6].”
Quaternion kinematics for the error-state Kalman filter (2015, background): “For a proof that these approaches are equivalent to the above, see Dam et al. (1998).”
Spherical averages and applications to spherical splines and interpolation (2001, unknown): “[1994] and Dam et al. [1998].”
Geometry-Aware Learning of Maps for Camera Localization (2017, background): “The logarithm of a unit quaternion q = (u,v), where u is a scalar and v is a 3-d vector, is defined as [13, 29]”
Lifting AutoEncoders: Unsupervised Learning of a Fully-Disentangled 3D Morphable Model Using Deep Non-Rigid Structure From Motion (2019, methodology): “on. A.5. Rotation Modeling Modelling rotations using quaternions has several advantages over modelling them using Euler angles, including computational ease, less ambiguity, and compact representation[16]. Quaternions were also employed by [31] to model mesh rotations. Following these works, we also”