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Date : 2011-06-24

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Quaternions in Computer Graphics — Harold Serrano ~ Quaternions in Computer Graphics Introduction While crossing a bridge with his wife Sir William Hamilton made a Quaternions Quaternions are composed of a scalar and a vector Adding and Subtracting Quaternions can be added and subtracted among themselves Product Quaternions

Quaternions for Computer Graphics John Vince ~ Quaternions for Computer Graphics introduces the reader to quaternion algebra by describing concepts of sets groups fields and rings It also includes chapters on imaginary quantities complex numbers and the complex plane which are essential to understanding quaternions

Quaternion Computer Graphics FANDOM powered by Wikia ~ Quaternions are often used in computer graphics and associated geometric analysis to represent rotations see quaternions and spatial rotation and orientations of objects in threedimensional space They are smaller than other representations such as matrices and operations on them such as composition can be computed more efficiently

Quaternions for Computer Graphics John Vince Springer ~ Quaternions for Computer Graphics introduces the reader to quaternion algebra by describing concepts of sets groups fields and rings It also includes chapters on imaginary quantities complex numbers and the complex plane which are essential to understanding quaternions

Understanding Quaternions 3D Game Engine Programming ~ One of the most important reasons for using quaternions in computer graphics is that quaternions are very good at representing rotations in space Quaternions overcome the issues that plague other methods of rotating points in 3D space such as Gimbal lock which is an issue when you represent your rotation with euler angles

Quaternions and spatial rotation Wikipedia ~ Quaternions have applications in computer graphics computer vision robotics navigation molecular dynamics flight dynamics orbital mechanics of satellites and crystallographic texture analysis When used to represent rotation unit quaternions are also called rotation quaternions as they represent the 3D rotation group

Quaternions ~ Computer graphics uses quaternions as coordinates for rotations and orientations At SIGGRAPH 1985 quaternion curve methods were introduced to computer graphics to facilitate rotation animation Although this is a rather specialized environmental niche quaternions work so well they are able to compete

Rotations in Computer Graphics — Harold Serrano ~ Rotations in computer graphics is a transformational operation That means that it is a conversion from one coordinate space onto another Rotational transformation can be accomplish with Matrices or with Quaternions You will learn how a vector can be rotated with both methods

Quaternion Wikipedia ~ Quaternions are used in pure mathematics and also have practical uses in applied mathematics—in particular for calculations involving threedimensional rotations such as in threedimensional computer graphics computer vision and crystallographic texture analysis