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

Year 2022, , 660 - 665, 30.06.2022

Aziz Yazla Muhammed Talat Sarıaydın

https://doi.org/10.17798/bitlisfen.1083043

Abstract

In present paper, Double Minkowski Pythagorean Hodograph (DMPH) curves and type (3,0) Minkowski Pythagorean Hodograph (MPH) curves. Firstly, we obtained the conditions for a MPH curve to be a DMPH curve. Then, we examined these conditions 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

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

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

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