Offsets, conchoids and pedal surfaces

Albano, A., Roggero, M.: Conchoidal transform of two plane curves. Appl. Algebra Eng. Commun. Comput. 21, 309–328 (2010)

Arrondo, E., Sendra, J., Sendra, J.R.: Parametric generalized offsets to hypersurfaces. J. Symb. Comput. 23, 267–285 (1997)

Dietz, R., Hoschek, J., Jüttler, B.: An algebraic approach to curves and surfaces on the sphere and other quadrics. Comput. Aided Geom. Design 10, 211–229 (1993)

Farouki, R.T.: Pythagorean–Hodograph curves. In: Farin, G., Hoschek, J., Kim, M.-S. (eds.) Handbook of Computer Aided Geometric Design. Elsevier, Amsterdam (2002)

Farouki, R.T.: Pythagorean–Hodograph Curves: Algebra and Geometry Inseparable. Springer, Berlin (2008)

Gruber, D., Peternell, M.: Conchoid surfaces of quadrics. J. Symb. Comput. 59, 36–53 (2013)

Hilton, H.: Plane Algebraic Curves. Clarendon Press, Oxford (1920)

Kerrick, A.H.: The limacon of Pascal as a basis for computed and graphic methods of determining astronomic positions. J. Inst. Navig. 6, 310–316 (1959)

Krasauskas, R., Peternell, M.: Rational offset surfaces and their modeling applications. In: Emiris, I.Z., Sottile, F., Theobald, Th. (eds.) IMA Volume 151: Nonlinear Computational Geometry, pp. 109–136 (2010)

Lin, W., Yu, Z., Yuang, E., Luk, K.: Conchoid of nicomedes and limacon of pascal as electrode of static field and a waveguide of high frecuency wave. PIER 30, 273–284 (2001)

Loria, G.: Spezielle Algebraische und Transzendente Ebene Kurven: Theorie und Geschichte. Teubner, Leipzig (1911)

Peternell, M., Pottmann, H.: A Laguerre geometric approach to rational offsets. Comput. Aided Geom. Des. 15, 223–249 (1998)

Peternell, M., Gruber, D., Sendra, J.: Conchoid surfaces of rational ruled surfaces. Comput. Aided Geom. Des. 28, 427–435 (2011)

Pottmann, H.: Rational curves and surfaces with rational offsets. Comput. Aided Geom. Des. 12, 175–192 (1995)

Pottmann, H., Shi, L., Skopenkov, M.: Darboux cyclides and webs from circles. Comput. Aided Geom. Des. 29, 77–97 (2012)

Schicho, J.: Proper parametrization of real tubular surfaces. J. Symb. Comput. 30, 583–593 (2000)

Sendra, J.R., Sendra, J.: Algebraic analysis of offsets to hypersurfaces. Math. Z. 234, 697–719 (1999)

Sendra, J.R., Sendra, J.: An algebraic analysis of conchoids to algebraic curves. Appl. Algebra Eng. Commun. Comput. 19, 285–308 (2008)

Sendra, J., Sendra, J.R.: Rational parametrization of conchoids to algebraic curves. Appl. Algebra Eng. Commun. Comput. 21, 413–428 (2010)

Sendra, J.R., Winkler, F., Pérez-Diaz, S.: Rational Algebraic Curves: A Computer Algebra Approach. In: Series Algorithms and Computation in Mathematics, Vol. 22. Springer, Heidelberg (2007)

Szmulowicz, F.: Conchoid of Nicomedes from reflections and refractions in a cone. Am. J. Phys. 64, 467–471 (1996)

Vršek, J., Lávicka, M.: Exploring hypersurfaces with offset-like convolutions. Comput. Aided Geom. Des. 29, 676–690 (2012)