slerp

plural slerps

1. alternativeAlternative form of SLERP.

   The first describes the skeleton-driven deformation which is solved by spherical linear interpolation (slerp).

   2011, Zhigeng Pan, Adrian David Cheok, Wolfgang Müller, Transactions on Edutainment VI - Volume 6, page 173

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   Shoemake [16] introduced the idea of interpolating rotations with quaternions, but the constructed curves (slerps) did not satisfy an obvious variational principle [21] as splines [2] do in flat space.

   1997, Ravi Ramamoorthi, Alan H. Barr, “Fast construction of accurate quaternion splines”, in Proceedings of the 24th annual conference of the Association for Computing Machinery

   However, it should be possible to give more sophisticated spherical spline curves based on the de Castaljau method that are computed using multiple slerps between pairs of points and which work well for arbitrary knot positions (indeed, knot insertion methods for spline curves should suffice for this, cf Farin [1993])

   2001 April, Samuel R. Buss, Jay P Fillmore, “Spherical averages and applications to spherical splines and interpolation”, in ACM Transactions on Graphics (TOG), volume 20, number 2

   Unlike the slerp techniques, this approach produces motions with rational point trajectories, the socalled rational motions. In kinematical geometry, these motions had been studied since the end of the 19th century (5,43,52].

   2002, G. Farin, J. Hoschek, M.-S. Kim, Handbook of Computer Aided Geometric Design, page 723

   The quaternion spherical linear interpolation method (slerp), which many researchers have adopted for numerical control, is inadequate for tool-axisorientation planning in general five-axis computer numerical control machines. This paper explains why the quaternion slerp method fails to achieve constant rotational speed.

   2018, Chang Dau Yan, Wei-Hua Chieng, Shyr-Long Jeng, “Five-Axis Slerp for Tool-Orientation Planning in a Five-Axis CNC Machine”, in Journal of the Chinese Society of Mechanical Engineers, volume 39, number 6

present singular third person slerps · participle present slerping · participle past slerped · past slerped

1. alternativeAlternative form of SLERP.

   Board and skater orientations were slerped, and the velocity was re-computed back from the positional Hermite curve rather than being interpolated.

   2008, Mark Wesley, “Navigating Detailed Worlds with a Complex, Physically Driven Locomotion: NPC Skateboarder AI in EA's skate”, in Proceedings of the Fourth Artificial Intelligence and Interactive Digital Entertainment Conference

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   In other words, E.3-1 says that the slerped quaternion qk can be computed by multiplication of k-th power of a constant quaternion qc and q0, where β=α/n and u is a unit vector defined by components of q0 and qn as u = (w0un – wnu0 + u0×un)/sin(α).

   2007, X Li, “VQS Transformation with an Incremental Approach”, in Game-On Asia Conference Processing, Kyoto, Japan

   More specifically, the quaternion representing the currently reported head position, Q∗(t), is slerped (linearly interpolated in quaternion space) with the most recent quater- nion used for rendering, Qt−1.

   2017, Huiwen Chang, Michael F Cohen, “Panning and zooming high-resolution panoramas in virtual reality devices”, in Proceedings of the 30th Annual ACM Symposium on User Interface Software and Technology

1. New JerseyabbreviationacronymAcronym of State and Local Expenditure and Revenue Policy commission, a New Jersey commission charged with review and analysis of New Jersey's fiscal processes.

   A SLERP Commission proposal would improve incentives by applying a special rate on new construction.

   1986, New Jersey. Economic Policy Council, Report [of The] Economic Policy Council and Office of Economic Policy, page 5

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   As I write, I know these problems are being examined by the State and Local Expenditure and Revenue Policy Commission (SLERP).

   1988, The Budget Message and Taxpayers' Guide

   Plagued by delays in selecting an executive director and the governor's appointees, SLERP did not begin work until September 1985.

   1998, Barbara G. Salmore, Stephen A. Salmore, New Jersey Politics and Government

   SLERP Commission expenditure reforms affect each type of local government and provide a total of $1.2 billion in total property tax relief.

   1990, Silvio R. Laccetti, New Jersey Profiles in Public Policy, page 237

plural SLERPs

1. abbreviationacronymcomputingAcronym of spherical linear interpolation.

   This filter is very straightforward to implement using the technique of spherical linear interpolation (SLERP) [8].

   2001, Proceedings of the IEEE and ACM International Symposium on Augmented Reality, page 79

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   We have already mentioned that quaternions give very good visual results when interpolated using spherical linear interpolation, commonly known as SLERP.

   2008, Mario Gutierrez, F. Vexo, Daniel Thalmann, Stepping into Virtual Reality, page 24

   Third, in key frame animation, we can readily interpolate smoothly between two rotations represented by unit quaternions by using spherical linear interpolation (SLERP) [Shoemake, 1985] (see also Section 9.3).

   2010, Ron Goldman, Rethinking Quaternions, page xiii

present singular third person SLERPs · participle present SLERPing · participle past SLERPed · past SLERPed

1. computingTo interpolate by using SLERP.

   The rotation quaternion should be SLERPed in order to give the rotation interpolation a smooth curve.

   2003, Evan Pipho, Focus on 3D Models - Volume 1, page 150

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   Inside this handler, we perform the actual transformation update of our _tracker calculating the current SLERPed Quaternion, and then converting it to the Matrix3D and finally to transform property of the object: private :Jnction

   2011, Michael Ivanov, Away3D 3.6 Cookbook

   Using continuously varying time, τ, the quaternionized limb is “SLERPed” towards the target until the target body pose is reached.

   2018 October, CT Richards, LB Porro, “A novel kinematics analysis method using quaternion interpolation–a case study in frog jumping”, in Journal of theoretical biology, volume 454