Search Results for "quaternion"
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Showing 36 open source projects for "quaternion"
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Quaternion Lorentz
Complex quaternion calculator with Lorentz boosts and rotations
C++ code to perform the Lorentz boosts and rotations of special relativity using complex quaternions The interface is a complex quaternion console-based calculator with operations + - * / ^ and functions for Lorentz boosts and rotations. THEORY Complex quaternions have form q = A + B * I + C * J + D * K with A, B, C, D complex I * I = -1 , J * J = -1 , K * K = -1, I * J = K, J * I = -K , J * K = I,K * J = -I, K * I = J, I * K = -J Transpose T takes I into -I, J into -J, K into -K (q1 q2)T = q2T q1T Star complex conjugates A, B, C, D Bar is product of T and Star, Norm(q) = qTq Norm(q1*q2)=Norm(q1)*Norm( q2) q in H1 iff q qT = qT q = 1 4-vector X=t + i*x*I +i*y*J + i*z*K XPRIME = q X Bar(q) for q in H1 Form with real scalar, imaginary spatial is preserved Bar(X) = X and Bar(XPRIME )= XPRIME Norm(XPRIME) = Norm(X) = t*t - x*x - y*y - z*z q=cos(theta/2)+K*sin(theta/2) rotates by theta about z q=cosh(alpha/2)+i*I*sinh(alpha/2) boosts by alpha along x -
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JOML
A Java math library for OpenGL rendering calculations
JOML is a high-performance, lightweight math library designed for 3D graphics applications in Java, particularly those using OpenGL, Vulkan, or LWJGL. It provides a complete suite of vector, matrix, quaternion, and geometry operations essential for real-time graphics and game development. Unlike other math libraries, JOML avoids object allocation during calculations, making it highly optimized for garbage-free performance. With precise control over mathematical operations and compatibility with low-level APIs, JOML is a go-to library for Java developers working on real-time 3D engines and simulations. -
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Quaternion toolbox for Matlab
Quaternion and octonion toolbox for Matlab
Quaternion toolbox for Matlab is a toolbox that extends Matlab to handle matrices of quaternions with real and complex components. Many Matlab operators and functions are overloaded to work for real quaternion and complexified quaternion matrices. Version 2 of the toolbox adds support for octonions. Version 3 adds symbolic computation with quaternions, provided that you have the Symbolic Math Toolbox (if you don't the numeric functionality will still work). -
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nars2000
NARS2000: An Experimental APL Interpreter
APL is an arrary-oriented language initially conceived in the 1960s by Kenneth E. Iverson, IBM Fellow and 1979 ACM Turing Award recipient. It is ideally suited to computer programming because it subsumes the tedious aspects of the job allowing the programmer to concentrate on the heart of the project. NARS2000 is a Free Open Source implementation of APL. For more details on this project, visit the NARS2000.org website. -
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LQSTFM is a Matlab toolbox for handling linear quaternion systems. It requires the QTFM toolbox to provide the underlying quaternion operations.
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QuatView
Quaternion Viewer and Converter
Quaternion conversion and visualization program for Windows. Includes 3D OpenGl graphics, real-time quaternion file playback, and a server to receive and display quaternion data from remote computers via TCP. Also displays Euler angles and DCM. -
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Rotations Conversion Library
Library for working with 3D rotations in C++
The Rotations Conversion Library (RCL) is a collection of C++ functions that address common computations and numerical handling of rotations in 3D Euclidean space, including support for rotation matrices (`Rotmat`), Quaternions (`Quat`), intrinsic ZYX Euler angles (`Euler`), fused angles (`Fused`) and tilt angles (`Tilt`). In addition to the core competency of being able to convert between each of the representations, operations such as inversion, ZYX yaw extraction, fused yaw extraction,... -
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MathFu
C++ math library developed primarily for games focused on simplicity
MathFu is a small, header-only C++ math library optimized for games and real-time graphics on mobile and desktop. It provides fixed-size vector, matrix, and quaternion types with APIs that mirror the operations you actually use in inner loops—dot, cross, normalize, transforms, and projections. Implementations are carefully tuned to leverage SIMD instruction sets such as SSE and NEON while preserving a clean fallback path for portability. Because types are fixed at compile time, the compiler can aggressively inline and unroll code, producing predictable performance and tiny binaries. ... -
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QuantumQuaternionCrypto
To develop Qubit-resistant cryptography based on 4D-hypercomplexity...
...requiring the Quaternion (or even 8D-Biquaternion?) number system as a basis of Asymmetric Public-Private Key Digital Encryption to befuddle and overwhelm the highly-anticipated, powerful but fragile technology of Quantum Computation. Major recent Asian analytical advances are budding out in Singapore and India, whose foundations may well be provide a practical, efficient coding approach (adapting beautifully to the visualization and equation facilities of Wolfram/Mathematica) to Strong Encryption for decades to come. -
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brilliant as reality
A raytracer that tries to combine simplicity with power.
...Envisioned features: - scene description language should be: - - easy to learn (KISS) - - easy to use (common things can be described concisely) - - Object oriented - Image in image effects - Quaternion based rotations (simple to use, of course!) - Useable via SDL or shared library -
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libquaternion
Library to work with quaternion.
Math library to work with quaternions. Have SSE, SSE2, SSE3, SSE4.1 optimizations. -
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Attitude Estimator
A C++ implementation of a nonlinear 3D IMU fusion algorithm.
Attitude Estimator is a generic platform-independent C++ library that implements an IMU sensor fusion algorithm. Up to 3-axis gyroscope, accelerometer and magnetometer data can be processed into a full 3D quaternion orientation estimate, with the use of a nonlinear Passive Complementary Filter. The library is targeted at robotic applications, but is by no means limited to this. Features of the estimator include gyro bias estimation, transient quick learning, multiple estimation algorithms, tuneable estimator parameters, and near-global stability backed by theoretical analysis. ... -
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Logi (Local Observations to Global Integration) transforms several local coordinate systems (composed of polar measurements) into a global spatial uniform network with respect to the Guide to the Expression of Uncertainty in Measurement (GUM).
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The CML (Configurable Math Library) is a free, open-source C++ vector, matrix, and quaternion math library designed for use in games, graphics, computational geometry, and related applications. Please note: the CML source has moved to GitHub: https://github.com/demianmnave/CML
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qspline CC0
qspline (Quaternion Cubic Spline) under the CC0 license
Quaternion Cubic Spline by James McEnnan Qspline does quaternion interpolation such that the quaternion and angular rate and acceleration vectors are continuous functions of time, while maintaining quaternion normalization. This project releases the core functions (in qspline.c) under the CC0 license (Public Domain). The original project can be found here: http://sourceforge.net/projects/qspline/ The documentation can be found in the original project here: http://qspline.sourceforge.net/qspline.pdf -
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CQRlib is an ANSI C implementation of a utility library for quaternion arithmetic and quaternion rotation math.
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Firmware for the UM6 Orientation Sensor from CH Robotics. The UM6 firmware supports quaternion and Euler Angle estimation using rate gyros, accelerometers, and magnetic sensors.
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Vector,quaternion,matrix math library
Free vector,quaternion,matrix math library
Over 75 C++ function for working with vectors, matrix and quaternions. Inside the package there is no cycles, if's, classes or structures. Ideal for designing 3D engines. Headlines of functions are intuitive. For each headline there is a one line comment in Russian. Matrix are presented in OpenGL form 0 4 8 12 1 5 9 13 2 6 10 14 3 7 11 15 Now we are working on adding 50+ more functions for processing the planes, splines, bezier curves and interpolation methods. -
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SymbolicC++
An object oriented C++ library for computer algebra
SymbolicC++ is a general purpose computer algebra system embedded in the programming language C++. It is free software released under the terms of the GNU General Public License. SymbolicC++ is used by including a C++ header file or by linking against a library. -
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iSDGE is meant to be a free next generation 3D game engine for mobile devices supporting OpenGL ES 2.0. It is very easy to use, extremely flexible and fast. iSDGE is mostly written in C++ and currently comes with an Objective-C binding for iOS.
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This Quaternion based 3D Camera is designed from the ground up to be robust, but most importantly, it's geared toward new programmers, so its primary focus is for it to be the easiest possible to get into your project and start using.
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This is a Python script for Blender which uses short (quaternion-based, floretion-based) algorithms to draw curves in space. The user can create new shapes and curves by setting a variety of parameters.
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A Maya plugin implementing a smooth skinning node doing dual quaternion skinning. Please visit the project's homepage for more information and downloads.
