Applications of Laguerre geometry in CAGD

Albrecht, 1997, Construction of Bezier rectangles and triangles on the symmetric Dupin horn cyclide by means of inversion, Computer Aided Geometric Design, 14, 349, 10.1016/S0167-8396(97)00002-2

Benz, 1992

Blaschke, 1910, Untersuchungen über die Geometrie der Speere in der Euklidischen Ebene, Monatshefte für Mathematik und Physik, 21, 3, 10.1007/BF01693218

Blaschke, 1929

Boehm, 1990, On cyclides in geometric modeling, Computer Aided Geometric Design, 7, 243, 10.1016/0167-8396(90)90034-O

Bruce, 1985, Symmetry sets, 101A, 163

Cecil, 1992

Choi, 1996, Mathematical theory of medial axis transform

Choi, 1996, New algorithm for medial axis transform of plane domain

Choi, 1997

Farin, 1994

Farouki, 1992, Curves and surfaces in geometrical optics, 239

Farouki, 1996, Computing point/curve and curve/curve bisectors

Farouki, 1995, Analysis of the offset to a parabola, Computer Aided Geometric Design, 12, 639, 10.1016/0167-8396(94)00038-T

Farouki, 1994, Offset curves in layered manufacturing, 557

Fuhs, 1988, Circular pipe connections, Computers & Graphics, 12, 53, 10.1016/0097-8493(88)90007-6

Gallagher, 1994, Convexity preserving surface interpolation, 161

Hoffmann, 1992, Computer vision, descriptive geometry and classical mechanics, 229

Hoschek, 1992, Circular splines, Computer Aided Design, 24, 611, 10.1016/0010-4485(92)90072-I

Hoschek, 1993

Lü, 1994, Rationality of the offsets to algebraic curves and surfaces, Applied Mathematics (Journal of Chinese Universities), 9, 265, 10.1007/BF02663776

Lü, 1995, Rational canal surfaces

Martin, 1982, Principal patches for computational geometry

Mäurer, 1996, Rational curves and surfaces on Dupin ring cyclides

Mäurer, 1997, Rationale Bézier-Kurven und Bézier-Flächenstücke auf Dupinschen Zykliden, Dissertation

Müller, 1929

Patrikalakis, 1990, Shape interrogation by medial axis transform, Vol. 1, 77

Peternell, 1997, A Laguerre geometric approach to rational offsets, Computer Aided Geometric Design

Peternell, 1997, Computing rational parametrizations of canal surfaces, J. Symbolic Computation, 23, 255, 10.1006/jsco.1996.0087

Pillow, 1995, Viewpoint-invariant representation of generalized cylinders using the symmetry set, Image and Vision Computing, 13, 355, 10.1016/0262-8856(95)99722-D

Pratt, 1990, Cyclides in computer aided geometric design, Computer Aided Geometric Design, 7, 221, 10.1016/0167-8396(90)90033-N

Pratt, 1995, Cyclides in computer aided geometric design II, Computer Aided Geometric Design, 12, 131, 10.1016/0167-8396(94)00006-E

Srinivas, 1994, An intuitive procedure for constructing geometrically complex objects using cyclides, Computer Aided Design, 26, 327, 10.1016/0010-4485(94)90078-7

Srinivas, 1995, Rational parametric representation of parabolic cyclide: Formulation and applications, Computer Aided Geometric Design, 12, 551, 10.1016/0167-8396(95)00032-2

Stachel, 1992, Voronoi diagrams and offsets, an algorithm based on descriptive geometry, 159

Wolter, 1992, Cut locus and medial axis in global shape interrogation and representation, MIT, Dept. of Ocean Engineering, Design Laboratory Memorandum 92-2