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• Simple module providing a quaternion class for manipulating rotations easily. Return the angle in radians between this quaternion and another. — “Python: module OpenGLContext.quaternion”,
• Quaternions are the things that scare all manner of mice and men. Quaternions have become a popular tool in 3d game development - and for a good reason. — “Part Five: Quaternions”,
• When Gibbs first deprecated the quaternion product and split it into a cross product and Generally, the quaternion advocates seem to feel the opponents are lazy or thick-headed, and that deeper understanding of quaternions would lead to deeper appreciation. — “Quaternion - CGAFaq”,
• In mathematics, the quaternions are a non-commutative extension of the complex numbers. Every quaternion is a real linear combination of the basis quaternions 1, i, j, and k, i.e. every quaternion is uniquely. — “Quaternion - Definition”,
• Quaternion definition, a group or set of four persons or things. See more. — “Quaternion | Define Quaternion at ”,
• Quaternions are commonly used to represent orientations and rotations in 3d games. They are more efficient than using 3d matrices in number of operations, storage and quaternions also avoid gimbal lock. Quaternion class * By Will Perone * Original: 12-09-2003 * Revised: 27-09-2003 * 22-11-2003 * 10-12. — “Quaternion Math Class”,
• In mathematics, the quaternions are a non-commutative extension of the complex numbers. Every quaternion is a real linear combination of the basis quaternions 1, i, j, and k, i.e. every quaternion is uniquely. — “Online Encyclopedia and Dictionary - Quaternion”, fact-
• This quaternion of revilers has traduced Origen, but not on the same grounds, one having found one cause of accusation against him, and another another; and thus each has demonstrated that what he has taken no objection to, he has fully accepted. — “quaternion - Wiktionary”,
• Quaternions are a mathematical construct that represents a rotation in three dimensions. There are two ways to explain a quaternion: the technical way and the practical way. — “Legacy:Quaternion - Unreal Wiki”,
• For other uses, see Quaternion (disambiguation). This article includes a list of references, but its sources remain unclear because it has insufficient inline citations. Graphical representation of quaternion units product as 90°-rotation. — “Quaternion - Wikipedia, the free encyclopedia”,
• Flash MX 2004 ActionScript2.0 Library: Quaternion - Wright Internet Solutions Implements the behaviours of the Quaternion Class -- provides methods for quaternion transformation. — “WIS AS2 Library : com.wis.math.alg.Quaternion Documentation”, members.shaw.ca
• Quaternion(float x, float y, float z, float w) Creates a quaternion from four components. Sets this quaternion to the rotation described by the given angle and normalized axis. — “Quaternion”,
• Maths - Quaternions. This page is an introduction to Quaternions, the pages below this have more detail about their algebra and how to use them to represent 3D rotations. Quaternions were discovered on 16 October 1843 by William Rowan Hamilton. — “Maths - Quaternions - Martin Baker”,
• Quaternion Julia fractals are created by the same principle as the more traditional Julia set except that it uses 4 dimensional complex numbers instead of 2 dimensional complex numbers. For more details on quaternion maths (how to add and multiple) see the reference given in the header above. — “Quaternion Julia Fractals”, local.wasp.uwa.edu.au
• A quaternion can be represented as. where w is the real component and x,y and z are the The same quaternion can also be expressed as. where w is the "scalar" and v = (x,y,z) is the "vector". Note, that even though v is called a vector, it is not a typical three dimensional vector but rather a. — “Quaternion - Math Images”,
• note that a quaternion algebra can be formed over a ﬁnite ﬁeld K, where every quaternion A principal interest in the study of quaternion algebras is the orders and ideals over an. — “QUATERNION ALGEBRAS”, echidna.maths.usyd.edu.au
• Explanation of quaternion and 3D rotation with quaternion Quaternion is a geometrical operator to represent the relationship (relative length and relative orientation) between two vectors in 3D space. — “Quaternion”, songho.ca
• quaternion n. A set of four persons or items. Mathematics . Any number of the form a + bi + cj + dk where a, b, c, and d are real numbers, ij = k, i. — “quaternion: Definition from ”,

Videosrelated videos for quaternion

• thecoshman: @goss2326 its basically 10% for doing each of them, 10 easy % this is handy btw http://j.mp/j3hV5J
• thecoshman: @goss2326 wait a minute... just went to look on blackboard to see if quaternion LERP was as straightforwar… (cont) http://deck.ly/~P74sr
• goss2326: @thecoshman the quaternion does not represent the heading, the heading is a normal vector, to roll, you creat… (cont) http://deck.ly/~HmANw
• thecoshman: @goss2326 I've got the quaternion to matrix sorted... its how I rotate the orientation Q around the heading vector for roll etc.
• knight666: I somehow managed to make a quaternion camera gimbal lock. I suck.
• goss2326: @thecoshman http://j.mp/lPai6Z this shows how the quaternion is converted to a rotation matrix to perform th… (cont) http://deck.ly/~7J7oZ
• thecoshman: @goss2326 if I want to rotate a vector... can I just use it as a quaternion with an angle of 0 and rotate it about an axis?
• AssafRaman: @davidjrogers We may be also missing performance on intel pc, I see bullet has sse accelerated math for vector, quaternion, matrix and more.
• MelRox12: @S0phieH Quaternion.FromToRotation(AlignAxis,Vect) is the only extra, basically it takes one axis and align it to a given vector, simple?
• mendelsachs: Twistor Theory versus Quaternion GR http://bit.ly/fGCwbC
• NeoshamanTamago: @S0phieH sorry to bother you, did you have upside down gimbal lock when making sara's run? I use quaternion to align to contact and got it
• upperwell: Quaternion.CreateFromYawPitchRoll()とか簡単すぎてやばい
• engadget_rss: spatial location for iphone: quaternion & rotation matrix help: I need help with part of an iphone project... Ke... http://bit.ly/kMyXCa
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• fleecebeast: AHA! Finally tracked down that quaternion bug that's been bothering me on and off for months. Oh quaternions, you're so crazy.
• wto_org: Digit UN staff and two pilots killed in shape accident in Bolivia: All quaternion Tied Nations staff in Bolivia ... http://bit.ly/jMfDWs
• NeoshamanTamago: Strange behaviour in unity, i'm using quaternion so what the ceiling run gimbal lock is for? only Transform Direction candidate for broken.

Blogs & Forumblogs and forums about quaternion

• “2) work out the rotation quaternion for each axis, by getting the dot 4) convert the rotation quaternion into a matrix and apply that rotation matrix”
— julapy " Blog Archive " quaternion rotation,

• “Positioning things in 3D can be difficult if you don't have a good understanding of, well, 3D. I often focus on cool new experiments, or some new feature”
— Geolocation in Papervision3D – Plus some Quaternion Stuff,

• “Quaternion Julia sets still explore the convergence of the system z z2 + c, but this time z and c are allowed to be quaternion-valued numbers. objects, only a slice (the intersection of the set with a plane) of the quaternion Julia sets is shown”
— Syntopia " Blog Archive " Quaternion Julia sets and GPU,

• “Mendel Sachs Discussion Forum " Mendel Sachs Physics Discussion Forums " Quaternion Calculus in General Relativity Users Browsing Forum. Yahoo! Bot and 0 Guests. Anisotropy of space-time. Quaternion Calculus in General Relativity. 1 Pages 1”
Quaternion Calculus in General Relativity - Mendel Sachs,

• “ science forums and latest news discussions”
Quaternion Waltz,

• “Softimage XSI Discussion Forum, Resources, Industry News and Features. Is there Quaternion Rotation(sp?) availble for XSI, to prevent Gimble Locks? right now I'm messing around with my animation, and I notice my Axis' are merging in to 1 axis, and causing a gimple lock. It's an ugly sight Atyss”
— XSI Base Forum - Quaternion Rotation?,

• “More than 20 Japanese flash coders share the blog/ You will be junkie for this crazy Japanese Flash news Quaternion notation employs an angle as the fourth element in its calculation of three-dimensional rotation”
— JActionScripters " Blog Archive " Quaternion notation of Vector3D,

• “Quaternion EM Where?”
Quaternion EM... Where?, theidea.bz

• “Forum. Wiki. Pseudo-Inverse and Quaternion. Submitted by phamelin on Fri, http:///forum/orocos/orocos-users/kdl-patch-get-quaternion”
— Pseudo-Inverse and Quaternion | The Orocos Project,