Orientations and Rotations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Orientations and Rotations write by Adam Morawiec. This book was released on 2004. Orientations and Rotations available in PDF, EPUB and Kindle. The book is a comprehensive account of orientations and rotations of three-dimensional objects. The author's interest in orientations stems from the field of crystallographic texture analysis a branch of knowledge concerned with orientations of crystallites constituting polycrystalline materials. Essentially, Orientations and Rotations treats the mathematical and computational foundations of texture analysis. It contains an extensive and thorough introduction to parameterizations and geometry of the rotation space. Since the notions of orientations and rotations are of primary importance for science and engineering, the book can be useful for a very broad audience using rotations in other fields (robotic manipulators, spacecraft control, computer animation, limb or eye kinematics, etc.). TOC:Preliminaries.- Parameterizations.- Geometry of the Rotation Space.- More on small Orientation Changes.- Some Statistical Issues.- Symmetry.- Misorientation Angle and Axis Distributions.- Crystalline Interfaces and Symmetry.- Crystallographic Textures.- Diffraction Geometry.-Effective Elastic Properties of Polycrystals.
Orientations and Rotations
Orientations and Rotations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Orientations and Rotations write by Adam Morawiec. This book was released on 2013-04-17. Orientations and Rotations available in PDF, EPUB and Kindle. Essentially, Orientations and Rotations treats the mathematical and computational foundations of texture analysis. It contains an extensive and thorough introduction to parameterizations and geometry of the rotation space. Since the notions of orientations and rotations are of primary importance for science and engineering, the book can be useful for a very broad audience using rotations in other fields.
Orientations and Rotations
Orientations and Rotations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Orientations and Rotations write by Adam Morawiec. This book was released on 2014-01-15. Orientations and Rotations available in PDF, EPUB and Kindle.
Quaternions and Rotation Sequences
Quaternions and Rotation Sequences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quaternions and Rotation Sequences write by J. B. Kuipers. This book was released on 2020-03-31. Quaternions and Rotation Sequences available in PDF, EPUB and Kindle. Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century--a feat he celebrated by carving the founding equations into a stone bridge--mathematicians and engineers have been fascinated by these mathematical objects. Today, they are used in applications as various as describing the geometry of spacetime, guiding the Space Shuttle, and developing computer applications in virtual reality. In this book, J. B. Kuipers introduces quaternions for scientists and engineers who have not encountered them before and shows how they can be used in a variety of practical situations. The book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. But Kuipers also presents the more conventional and familiar 3 x 3 (9-element) matrix rotation operator. These parallel presentations allow the reader to judge which approaches are preferable for specific applications. The volume is divided into three main parts. The opening chapters present introductory material and establish the book's terminology and notation. The next part presents the mathematical properties of quaternions, including quaternion algebra and geometry. It includes more advanced special topics in spherical trigonometry, along with an introduction to quaternion calculus and perturbation theory, required in many situations involving dynamics and kinematics. In the final section, Kuipers discusses state-of-the-art applications. He presents a six degree-of-freedom electromagnetic position and orientation transducer and concludes by discussing the computer graphics necessary for the development of applications in virtual reality.
Rotations, Collisions and Orientations in Model Suspensions
Rotations, Collisions and Orientations in Model Suspensions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rotations, Collisions and Orientations in Model Suspensions write by Rockliffe St. John Manley. This book was released on 1953. Rotations, Collisions and Orientations in Model Suspensions available in PDF, EPUB and Kindle. "Particles in liquid suspensions subjected to velocity gradients undergo characteristic rotational and translational motions. The rotations are superimposed upon the translational motions, thus causing the particles to undergo "cart wheel" or rolling movements. The type of rotational motion described by a particle is characteristic of its shape; the rotations are periodic and in the case of elongated particles result in preferred orientations. The two types of motion are of considerable interest in connection with viscosity thixotropy, flow anisotropy, particle aggregation etc., in solutions of macromolecules, colloidal sols and suspensions of large particles." --
