Orientations and Rotations

2013-04-17 Science

Author : Adam Morawiec
Release : 2013-04-17
Genre : Science
Kind : eBook
Book Rating : 569/5 ( reviews)

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Book Synopsis Orientations and Rotations by : Adam Morawiec

Download or read book Orientations and Rotations written by Adam Morawiec. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: 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

2014-01-15

Author : Adam Morawiec
Release : 2014-01-15
Genre :
Kind : eBook
Book Rating : 579/5 ( reviews)

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Book Synopsis Orientations and Rotations by : Adam Morawiec

Download or read book Orientations and Rotations written by Adam Morawiec. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Quaternions and Rotation Sequences

2020-03-31 Mathematics

Author : J. B. Kuipers
Release : 2020-03-31
Genre : Mathematics
Kind : eBook
Book Rating : 701/5 ( reviews)

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Book Synopsis Quaternions and Rotation Sequences by : J. B. Kuipers

Download or read book Quaternions and Rotation Sequences written by J. B. Kuipers. This book was released on 2020-03-31. Available in PDF, EPUB and Kindle. Book excerpt: 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, Quaternions, and Double Groups

2013-04-09 Mathematics

Author : Simon L. Altmann
Release : 2013-04-09
Genre : Mathematics
Kind : eBook
Book Rating : 730/5 ( reviews)

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Book Synopsis Rotations, Quaternions, and Double Groups by : Simon L. Altmann

Download or read book Rotations, Quaternions, and Double Groups written by Simon L. Altmann. This book was released on 2013-04-09. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions to many illustrative problems. Geared toward upper-level undergraduates and graduate students, the book begins with chapters covering the fundamentals of symmetries, matrices, and groups, and it presents a primer on rotations and rotation matrices. Subsequent chapters explore rotations and angular momentum, tensor bases, the bilinear transformation, projective representations, and the geometry, topology, and algebra of rotations. Some familiarity with the basics of group theory is assumed, but the text assists students in developing the requisite mathematical tools as necessary.

Temper Sands in Prehistoric Oceanian Pottery

2006-01-01 Science

Author : William R. Dickinson
Release : 2006-01-01
Genre : Science
Kind : eBook
Book Rating : 066/5 ( reviews)

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Book Synopsis Temper Sands in Prehistoric Oceanian Pottery by : William R. Dickinson

Download or read book Temper Sands in Prehistoric Oceanian Pottery written by William R. Dickinson. This book was released on 2006-01-01. Available in PDF, EPUB and Kindle. Book excerpt: "Oceanian ceramic cultures making earthenware pottery spread during the past 3500 years through a dozen major island groups spanning 6000 km of the tropical Pacific Ocean from western Micronesia to western Polynesia. Island potters mixed sand as temper into clay bodies during ceramic manufacture. The nature of island sands is governed by the geotectonics of hotspot chains, island arcs, subduction zones, backarc basins, and remnant arcs as well as by sedimentology. Because small islands with bedrock exposures of restricted character are virtual point sources of sand, many tempers are diagnostic of specific islands. Petrographic study of temper sands in thin section allows distinction between indigenous pottery and exotic pottery transported from elsewhere. Study of 2223 prehistoric Oceanian potsherds from 130 islands and island clusters indicates the nature of Oceanian temper types and documents 105 cases of interisland transport of ceramics over distances typically

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Orientations and Rotations

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