Add to ORKGSpherical linear interpolation1, introduced by Shoemake within the context of quaternion interpolation for the purpose of animating 3D rotation. SLERP is a simple 3D animation technique that is handy for creating smooth curves and rotations about the surface of a sphere. In this paper, after a brief review of some algebraic properties of quaternions, we investigate the concepts of LERP, SLERP and Bezier curves in Euclidean space. We consider the generalized quaternions instead of quaternions, and study the linear interpolation on elliptical sphere in a generalized 3-space. 1
In this paper we present methods to smoothly interpolate orientations, given N rotational keyframeso...
This paper is written to aid the readers to understand application of Euler angles and quaternion in...
Abstract: Typically we do not add objects in conformal geometric algebra (CGA), rather we apply oper...
We consider the problem of interpolating a smooth curve to a point sequence in the unit quaternion s...
Developable ruled surfaces and the rotation-minimizing frames (RMF) have a crucial importance in com...
An algorithm is presented to construct a C-2-continuous B-spline quaternion curve which interpolates...
In this paper we present methods to smoothly interpolate orientations, given N rotational key frame...
Game developers like 4 × 4 matrices because they can perform, rotations, translations, scaling and p...
We explore an isoparametric interpolation of total quaternion for geometrically consistent, strain-o...
The theory of quaternions was introduced in the mid nineteenth century, and it found many applicatio...
The problem of constructing a curve that interpolates given initial/final positions along with orien...
This paper employs quaternion biarcs to interpolate a set of orientations with angular velocity cons...
Smooth orientation planning is beneficial for the working performance and service life of industrial...
The purpose of this paper is to show that linear interpolation of quaternions can be used for true P...
This paper presents a method of interpolating between two or more general dis-placements (rotation a...
In this paper we present methods to smoothly interpolate orientations, given N rotational keyframeso...
This paper is written to aid the readers to understand application of Euler angles and quaternion in...
Abstract: Typically we do not add objects in conformal geometric algebra (CGA), rather we apply oper...
We consider the problem of interpolating a smooth curve to a point sequence in the unit quaternion s...
Developable ruled surfaces and the rotation-minimizing frames (RMF) have a crucial importance in com...
An algorithm is presented to construct a C-2-continuous B-spline quaternion curve which interpolates...
In this paper we present methods to smoothly interpolate orientations, given N rotational key frame...
Game developers like 4 × 4 matrices because they can perform, rotations, translations, scaling and p...
We explore an isoparametric interpolation of total quaternion for geometrically consistent, strain-o...
The theory of quaternions was introduced in the mid nineteenth century, and it found many applicatio...
The problem of constructing a curve that interpolates given initial/final positions along with orien...
This paper employs quaternion biarcs to interpolate a set of orientations with angular velocity cons...
Smooth orientation planning is beneficial for the working performance and service life of industrial...
The purpose of this paper is to show that linear interpolation of quaternions can be used for true P...
This paper presents a method of interpolating between two or more general dis-placements (rotation a...
In this paper we present methods to smoothly interpolate orientations, given N rotational keyframeso...
This paper is written to aid the readers to understand application of Euler angles and quaternion in...
Abstract: Typically we do not add objects in conformal geometric algebra (CGA), rather we apply oper...