Double and Type (3,0) Minkowski Pythagorean Hodograph Curves

Authors : Aziz YAZLA, Muhammed Talat SARIAYDIN

Pages : 660-665

Doi:10.17798/bitlisfen.1083043

View : 16 | Download : 10

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :In present paper, Double Minkowski Pythagorean Hodograph (DMPH) curves and type (3,0) Minkowski Pythagorean Hodograph (MPH) curves are studied. Firstly, the conditions for a MPH curve to be a DMPH curve are obtained. Then, these conditions are examined in split quaternion form. Finally, a special class of seventh degree MPH curves is characterized and illustrative examples are given.
Keywords : Double Minkowski Pythagorean Hodograph Curve, Minkowski Hopf Map, Type n, m Curve