Wu,
J.
,
Ge,
Q. J.
,
Su,
H. J.
, and
Gao,
F.
, 2013, “
Kinematic Acquisition of Geometric Constraints for Task-Oriented Design of Planar Mechanisms,” ASME J. Mech. Rob.,
5(1), p. 011003.

[CrossRef]
Bottema,
O.
, and
Roth,
B.
, 1979, Theoretical Kinematics,
North Holland,
Amsterdam, The Netherlands.

McCarthy,
J. M.
, 1990, Introduction to Theoretical Kinematics,
MIT, Cambridge, MA.

McCarthy,
J. M.
, 2000, Geometric Design of Linkages,
Springer,
New York.

Hayes,
M. J. D.
, and
Zsombor-Murrary,
P. J.
, 2004, “
Towards Integrated Type and Dimensional Synthesis of Mechanisms for Rigid Body Guidance,” CSME Forum, pp. 53–61.

Hayes,
M.
, and
Rucu,
S. R.
, 2011, “
Quadric Surface Fitting Applications to Approximate Dimensional Synthesis,” 13th World Congress in Mechanism and Machine Theory, Guanajuato, Mexico, June 19–25, pp. 10–25.

Zhao,
P.
,
Li,
X.
,
Purwar,
A.
, and
Ge,
Q. J.
, 2016, “
A Task-Driven Unified Synthesis of Planar Four-Bar and Six-Bar Linkages With R- and P-Joints for Five-Position Realization,” ASME J. Mech. Rob.,
8(6), p. 061003.

[CrossRef]
Zhao,
P.
,
Li,
X.
,
Zhu,
L.
,
Zi,
B.
, and
Ge,
Q. J.
, 2016, “
A Novel Motion Synthesis Approach With Expandable Solution Space for Planar Linkages Based on Kinematic-Mapping,” Mech. Mach. Theory,
105, pp. 164–175.

[CrossRef]
Li,
X.
,
Zhao,
P.
,
Ge,
Q. J.
, and
Purwar,
A.
, 2013, “
A Task Driven Approach to Simultaneous Type Synthesis and Dimensional Optimization of Planar Parallel Manipulator Using Algebraic Fitting of a Family of Quadrics,” ASME Paper No. DETC2013-13197.

Bruce,
J. W.
, and
Giblin,
P. J.
, 1984, Curves and Singularities,
Cambridge University Press, Cambridge, London.

Pottmann,
H.
, and
Wallner,
J.
, 2001, Computational Line Geometry,
Springer,
Berlin.

Ravani,
B.
, and
Ku,
T. S.
, 1991, “
Bertrand Offsets of Ruled and Developable Surfaces,” Comput.-Aided Des.,
23(2), pp. 145–152.

[CrossRef]
Ravani,
B.
, and
Wang,
J.
, 1991, “
Computer Aided Geometric Design of Line Constructs,” ASME J. Mech. Des.,
113(4), pp. 363–371.

[CrossRef]
Ge,
Q. J.
, and
Ravani,
B.
, 1994, “
On Representation and Interpolation of Line-Segments for Computer Aided Geometric Design,” Advances in Design Automation,
69(1), pp. 191–198.

Ge,
Q. J.
, and
Ravani,
B.
, 1998, “
Geometric Design of Rational Bézier Line Congruences and Ruled Surfaces Using Line Geometry,” Computing Supplement 13: Geometric Modeling,
G. Farin
,
H. Beiri
,
G. Brunnett
, and
T. DeRose
, eds.,
Springer-Verlag, Vienna, Austria, pp. 101–120.

Pottmann,
H.
,
Peternell,
M.
, and
Ravani,
B.
, 1999, “
An Introduction to Line Geometry With Applications,” Comput.-Aided Des.,
31(1), pp. 3–16.

[CrossRef]
Zhang,
Y.
, and
Ting,
K. L.
, 2004, “
On Point-Line Geometry and Displacement,” Mech. Mach. Theory,
39(10), pp. 1033–1050.

[CrossRef]
Stolfi,
J.
, 1991, Oriented Projective Geometry,
Academic Press, San Diego, CA.

Artobolevsky,
I. I.
, 1964, Mechanisms for the Generation of Plane Curves,
Macmillan,
New York.