Four-Dimensional Angles: The Mathematics of Quaternions Complex Numbers, Gimbal Lock, and the Mind-Bending Algebra That Rotates the Digital World
-
- Einzelkauf Download ausgewählt
-
Sprache:Englisch
4,99 €
inkl. gesetzl. MwSt.Beschreibung
Produktdetails
Format
ePUB
Kopierschutz
Nein
Family Sharing
Ja
Text-to-Speech
Ja
Altersempfehlung
1 - 99 Jahr(e)
Erscheinungsdatum
02.04.2026
Verlag
EpubliSeitenzahl
162 (Printausgabe)
Dateigröße
928 KB
Auflage
1. Auflage
Sprache
Englisch
EAN
9783565379224
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: Quaternions.
This 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 space.
We 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 angles.
Enter the fourth dimension of programming. A rigorous exploration of the complex, imaginary mathematics required to smoothly turn your head inside a virtual reality.
This 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 space.
We 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 angles.
Enter the fourth dimension of programming. A rigorous exploration of the complex, imaginary mathematics required to smoothly turn your head inside a virtual reality.
Noch keine Bewertungen vorhanden
Verfassen Sie die erste Bewertung zu diesem Artikel
Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.
Kurze Frage zu unserer Seite
Vielen Dank für Ihr Feedback
Wir nutzen Ihr Feedback, um unsere Produktseiten zu verbessern. Bitte haben Sie Verständnis, dass wir Ihnen keine Rückmeldung geben können. Falls Sie Kontakt mit uns aufnehmen möchten, können Sie sich aber gerne an unseren Kund*innenservice wenden.
zum Kundenservice