[PDF] Orientations And Rotations eBook

Author : Adam Morawiec
Publisher : Springer Science & Business Media
Page : 203 pages
File Size : 37,86 MB
Release : 2013-04-17
Category : Science
ISBN : 3662091569

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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.

Author : J. B. Kuipers
Publisher : Princeton University Press
Page : 396 pages
File Size : 37,69 MB
Release : 2020-03-31
Category : Mathematics
ISBN : 0691211701

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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.

Author : Simon L. Altmann
Publisher : Courier Corporation
Page : 315 pages
File Size : 31,39 MB
Release : 2013-04-09
Category : Mathematics
ISBN : 0486317730

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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.

Author : William R. Dickinson
Publisher : Geological Society of America
Page : 176 pages
File Size : 49,53 MB
Release : 2006-01-01
Category : Science
ISBN : 0813724066

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"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

Author : Jerrold E. Marsden
Publisher : Springer Science & Business Media
Page : 593 pages
File Size : 45,90 MB
Release : 2013-03-19
Category : Science
ISBN : 0387217924

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A development of the basic theory and applications of mechanics with an emphasis on the role of symmetry. The book includes numerous specific applications, making it beneficial to physicists and engineers. Specific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering. This second edition has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available.

Author : J. Michael McCarthy
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 41,5 MB
Release : 2006-04-06
Category : Mathematics
ISBN : 0387227350

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An introduction to the mathematical theory of design for articulated mechanical systems known as linkages. This book will be useful to mathematics, engineering and computer science departments that teach courses on mathematical modelling of robotics and other articulated mechanical systems.

Author : B. Fröhlich
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 30,65 MB
Release : 2012-12-06
Category : Computers
ISBN : 3709162211

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17 papers report on the latest scientific advances in the fields of immersive projection technology and virtual environments. The main topics included here are human computer interaction (user interfaces, interaction techniques), software developments (virtual environment applications, rendering techniques), and input/output devices.