Four-Dimensional Angles: The Mathematics o...

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Sprache: Englisch

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Beschreibung

In 3D programming, if you use standard angles (Euler angles-pitch, yaw, and roll) to rotate a camera or a spaceship, you will eventually hit a catastrophic mathematical dead-end called "Gimbal Lock." Two rotational axes will align, the math will divide by zero, and the camera will violently flip upside down. To prevent this, graphics engines completely abandon 3D math and step into the fourth dimension: [...] highly technical book decodes the mind-bending algebra invented by William Rowan Hamilton in 1843, which has become the absolute backbone of modern game engines and 3D rendering. Quaternions use complex numbers with one real part and three imaginary parts to calculate a rotation around an arbitrary vector in 4D [...] explore how calculating rotations using Quaternions completely bypasses Gimbal Lock, requires significantly less processor memory, and allows for perfectly smooth, flawless interpolation (Slerp) between two different camera [...] the fourth dimension of programming. A rigorous exploration of the complex, imaginary mathematics required to smoothly turn your head inside a virtual reality.

Details

Empfohlen (bis):	99
Empfohlen (von):	1
Fachbereich:	EDV
Genre:	Informatik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9783565379248
ISBN-10:	3565379243
Sprache:	Englisch
Autor:	Foley, Edward
Hersteller:	epubli
Verantwortliche Person für die EU:	Neopubli GmbH (Imprint: epubli), Köpenicker Str. 154a, D-10997 Berlin, produktsicherheit@epubli.com
Maße:	7 x 210 x 297 mm
Von/Mit:	Edward Foley
Gewicht:	0,334 kg