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Journal Articles

Computer Aided Synthesis of Piecewise Rational Motions for Spherical 2R and 3R Robot Arms

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Anurag Purwar, Zhe Jin, Q. J. Ge
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. November 2008, 130(11): 112301.
https://doi.org/10.1115/1.2976444
Published Online: September 23, 2008
View Articletitled, Computer Aided Synthesis of Piecewise Rational Motions for Spherical 2R and 3R Robot Arms
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Topics: Kinematics, Robots, Interpolation, Splines
Journal Articles

Rational Motion Interpolation Under Kinematic Constraints of Spherical 6R Closed Chains

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Anurag Purwar, Zhe Jin, Q. J. Ge
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. June 2008, 130(6): 062301.
https://doi.org/10.1115/1.2898879
Published Online: April 14, 2008
View Articletitled, Rational Motion Interpolation Under Kinematic Constraints of Spherical 6R Closed Chains
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Topics: Chain, Kinematics, Interpolation
Journal Articles

Computer Aided Synthesis of Piecewise Rational Motions for Planar 2R and 3R Robot Arms

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Zhe Jin, Q. J. Ge
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. October 2007, 129(10): 1031–1036.
https://doi.org/10.1115/1.2756082
Published Online: October 2, 2006
View Articletitled, Computer Aided Synthesis of Piecewise Rational Motions for Planar 2R and 3R Robot Arms
Open the PDF for Computer Aided Synthesis of Piecewise Rational Motions for Planar 2R and 3R Robot Arms in another window
Topics: Robots, Kinematics, Interpolation
Journal Articles

Rational Be´zier Line-Symmetric Motions

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Shutian Li, Q. J. Ge, Associate Professor,
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Article
J. Mech. Des. March 2005, 127(2): 222–226.
https://doi.org/10.1115/1.1798251
Published Online: March 25, 2005
View Articletitled, Rational Be´zier Line-Symmetric Motions
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Topics: Algorithms, Computer-aided design, Computer-aided engineering, Design, Displacement, Geometry, Kinematics, Screws, Computational geometry, Engineering graphics
Journal Articles

Computer Aided Geometric Design of Two-Parameter Freeform Motions

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Q. J. Ge, M. Sirchia
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. December 1999, 121(4): 502–506.
https://doi.org/10.1115/1.2829489
Published Online: December 1, 1999
View Articletitled, Computer Aided Geometric Design of Two-Parameter Freeform Motions
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Topics: Computer-aided engineering, Design, Kinematics, Computer-aided design, Robotics, Tensors, Trajectories (Physics)
Journal Articles

On the Exact Representation of the Boundary Surfaces of the Swept Volume of a Cylinder Undergoing Rational Be´zier and B-Spline Motions

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J. Xia, Q. J. Ge
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Technical Papers
J. Mech. Des. June 2001, 123(2): 261–265.
https://doi.org/10.1115/1.1357539
Published Online: June 1, 1999
View Articletitled, On the Exact Representation of the Boundary Surfaces of the Swept Volume of a Cylinder Undergoing Rational Be´zier and B-Spline Motions
Open the PDF for On the Exact Representation of the Boundary Surfaces of the Swept Volume of a Cylinder Undergoing Rational Be´zier and B-Spline Motions in another window
Topics: B-splines, Cylinders, Trajectories (Physics)
Journal Articles

On the Matrix Realization of the Theory of Biquaternions

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Q. J. Ge
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. September 1998, 120(3): 404–407.
https://doi.org/10.1115/1.2829166
Published Online: September 1, 1998
View Articletitled, On the Matrix Realization of the Theory of Biquaternions
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Topics: Matrix algebra, Screws
Journal Articles

Parametric Continuous and Smooth Motion Interpolation

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L. N. Srinivasan, Q. J. Ge
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. December 1996, 118(4): 494–498.
https://doi.org/10.1115/1.2826918
Published Online: December 1, 1996
View Articletitled, Parametric Continuous and Smooth Motion Interpolation
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Topics: Algorithms, Composite materials, Computer-aided design, Computer-aided engineering, Design, Interpolation, Robotics, Splines, Trajectories (Physics)
Journal Articles

Bernstein-Be´zier Harmonics and Their Application to Robot Trajectory Synthesis With Minimal Vibrational Excitation

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Q. J. Ge, J. Rastegar
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. December 1996, 118(4): 509–514.
https://doi.org/10.1115/1.2826920
Published Online: December 1, 1996
View Articletitled, Bernstein-Be´zier Harmonics and Their Application to Robot Trajectory Synthesis With Minimal Vibrational Excitation
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Topics: Excitation, Robots, Trajectories (Physics), Actuators, Algorithms, Dynamic response, Dynamics (Mechanics), Machinery, Manipulators, Polynomials
Journal Articles

Motion Interpolation With G 2 Composite Be´zier Motions

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Q. J. Ge, Donglai Kang
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. December 1995, 117(4): 520–525.
https://doi.org/10.1115/1.2826713
Published Online: December 1, 1995
View Articletitled, Motion Interpolation With G 2 Composite Be´zier Motions
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Topics: Composite materials, Interpolation, Algorithms, Splines, Computer numerical control machine tools, Computer-aided engineering, Design, Machinery, Manipulators, Trajectories (Physics)
Journal Articles

Computation of Spatial Displacements from Redundant Geometric Features

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Q. J. Ge, B. Ravani
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. December 1994, 116(4): 1073–1080.
https://doi.org/10.1115/1.2919489
Published Online: December 1, 1994
View Articletitled, Computation of Spatial Displacements from Redundant Geometric Features
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Topics: Computation, Algorithms, Eigenvalues, Algebra, Calibration, Computer programming, Computers, Robots
Journal Articles

Geometric Construction of Be´zier Motions

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Q. J. Ge, B. Ravani
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. September 1994, 116(3): 749–755.
https://doi.org/10.1115/1.2919446
Published Online: September 1, 1994
View Articletitled, Geometric Construction of Be´zier Motions
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Topics: Construction, Algorithms, Computational geometry, Computer-aided engineering, Computers, Design, Framing (Construction), Kinematics, Polynomials, Robots
Journal Articles

Computer Aided Geometric Design of Motion Interpolants

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Q. J. Ge, B. Ravani
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. September 1994, 116(3): 756–762.
https://doi.org/10.1115/1.2919447
Published Online: September 1, 1994
View Articletitled, Computer Aided Geometric Design of Motion Interpolants
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Topics: Computer-aided engineering, Design, Computers, Computational geometry, Interpolation, Kinematics, Simulation, Splines, Torsion
Journal Articles

Computation of Spatial Displacements From Geometric Features

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B. Ravani, Q. J. Ge
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. March 1993, 115(1): 95–102.
https://doi.org/10.1115/1.2919331
Published Online: March 1, 1993
View Articletitled, Computation of Spatial Displacements From Geometric Features
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Topics: Computation, Algebra, Calibration, Computational geometry, Displacement, Robots