Motion Interpolation with G2 composite bézier motions

Q. J. Ge; Donglai Kang

doi:10.1115/1.2826713

Motion Interpolation with G² composite bézier motions

Q. J. Ge
, Donglai Kang

Mechanical Engineering

Stony Brook University

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

This paper deals with smooth motion interpolation. It presents two geometric algorithms for synthesizing composite Bézier motions with second-order geometric continuity (G²). The first one is a direct algorithm for constructing a G² spline motion that approximates a set of displacements; the second one is an inverse design algorithm for a G² spline motion that interpolates through a set of displacements. The results are useful for computer aided motion animation, and Cartesian trajectory generation for CNC machines and robot manipulators

Original language	English
Pages (from-to)	520-525
Number of pages	6
Journal	Journal of Mechanical Design, Transactions of the ASME
Volume	117
Issue number	4
DOIs	https://doi.org/10.1115/1.2826713
State	Published - Dec 1995

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title = "Motion Interpolation with G2 composite b{\'e}zier motions",

abstract = "This paper deals with smooth motion interpolation. It presents two geometric algorithms for synthesizing composite B{\'e}zier motions with second-order geometric continuity (G2). The first one is a direct algorithm for constructing a G2 spline motion that approximates a set of displacements; the second one is an inverse design algorithm for a G2 spline motion that interpolates through a set of displacements. The results are useful for computer aided motion animation, and Cartesian trajectory generation for CNC machines and robot manipulators",

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AU - Kang, Donglai

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N2 - This paper deals with smooth motion interpolation. It presents two geometric algorithms for synthesizing composite Bézier motions with second-order geometric continuity (G2). The first one is a direct algorithm for constructing a G2 spline motion that approximates a set of displacements; the second one is an inverse design algorithm for a G2 spline motion that interpolates through a set of displacements. The results are useful for computer aided motion animation, and Cartesian trajectory generation for CNC machines and robot manipulators

AB - This paper deals with smooth motion interpolation. It presents two geometric algorithms for synthesizing composite Bézier motions with second-order geometric continuity (G2). The first one is a direct algorithm for constructing a G2 spline motion that approximates a set of displacements; the second one is an inverse design algorithm for a G2 spline motion that interpolates through a set of displacements. The results are useful for computer aided motion animation, and Cartesian trajectory generation for CNC machines and robot manipulators

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JO - Journal of Mechanical Design, Transactions of the ASME

JF - Journal of Mechanical Design, Transactions of the ASME

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Motion Interpolation with G² composite bézier motions

Abstract

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