Pythagorean Hodograph Curves Algebra And Geometry Inseparable

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Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable

Author : Rida T Farouki
Publisher : Springer Science & Business Media
ISBN 13 : 3540733981
Total Pages : 725 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable by : Rida T Farouki

Download or read book Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable written by Rida T Farouki and published by Springer Science & Business Media. This book was released on 2008-02-01 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and examples of their practical applications. It emphasizes the interplay of ideas from algebra and geometry and their historical origins and includes many figures, worked examples, and detailed algorithm descriptions.

Mathematical Methods for Curves and Surfaces

Author : Morten Dæhlen
Publisher : Springer
ISBN 13 : 3642116205
Total Pages : 453 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Mathematical Methods for Curves and Surfaces by : Morten Dæhlen

Download or read book Mathematical Methods for Curves and Surfaces written by Morten Dæhlen and published by Springer. This book was released on 2010-02-12 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008, held in Tønsberg, Norway, in June/July 2008. The 28 revised full papers presented were carefully reviewed and selected from 129 talks presented at the conference. The topics addressed by the papers range from mathematical analysis of various methods to practical implementation on modern graphics processing units.

Curves and Surfaces

Author : Jean-Daniel Boissonnat
Publisher : Springer
ISBN 13 : 3642274137
Total Pages : 758 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Curves and Surfaces by : Jean-Daniel Boissonnat

Download or read book Curves and Surfaces written by Jean-Daniel Boissonnat and published by Springer. This book was released on 2012-01-06 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Curves and Surfaces, held in Avignon, in June 2010. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications". The 39 revised full papers presented together with 9 invited talks were carefully reviewed and selected from 114 talks presented at the conference. The topics addressed by the papers range from mathematical foundations to practical implementation on modern graphics processing units and address a wide area of topics such as computer-aided geometric design, computer graphics and visualisation, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, scattered data processing and learning theory and subdivision, wavelets and multi-resolution methods.

Advances in Geometric Modeling and Processing

Author : Bernard Mourrain
Publisher : Springer Science & Business Media
ISBN 13 : 3642134106
Total Pages : 324 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Advances in Geometric Modeling and Processing by : Bernard Mourrain

Download or read book Advances in Geometric Modeling and Processing written by Bernard Mourrain and published by Springer Science & Business Media. This book was released on 2010-06-09 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Conference on Geometric Modeling and Processing, GMP 2010, held in Castro Urdiales, Spain, in June 2010. The 20 revised full papers presented were carefully reviewed and selected from a total of 30 submissions. The papers cover a wide spectrum in the area of geometric modeling and processing and address topics such as solutions of transcendental equations; volume parameterization; smooth curves and surfaces; isogeometric analysis; implicit surfaces; and computational geometry.

Geometry, Algebra and Applications: From Mechanics to Cryptography

Author : Marco Castrillón López
Publisher : Springer
ISBN 13 : 3319320858
Total Pages : 203 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Geometry, Algebra and Applications: From Mechanics to Cryptography by : Marco Castrillón López

Download or read book Geometry, Algebra and Applications: From Mechanics to Cryptography written by Marco Castrillón López and published by Springer. This book was released on 2016-06-30 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects contributions written by different experts in honor of Prof. Jaime Muñoz Masqué. It covers a wide variety of research topics, from differential geometry to algebra, but particularly focuses on the geometric formulation of variational calculus; geometric mechanics and field theories; symmetries and conservation laws of differential equations, and pseudo-Riemannian geometry of homogeneous spaces. It also discusses algebraic applications to cryptography and number theory. It offers state-of-the-art contributions in the context of current research trends. The final result is a challenging panoramic view of connecting problems that initially appear distant.

Advanced Methods for Geometric Modeling and Numerical Simulation

Author : Carlotta Giannelli
Publisher : Springer Nature
ISBN 13 : 3030273318
Total Pages : 242 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Advanced Methods for Geometric Modeling and Numerical Simulation by : Carlotta Giannelli

Download or read book Advanced Methods for Geometric Modeling and Numerical Simulation written by Carlotta Giannelli and published by Springer Nature. This book was released on 2019-09-18 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers selected contributions presented at the INdAM Workshop “DREAMS”, held in Rome, Italy on January 22−26, 2018. Addressing cutting-edge research topics and advances in computer aided geometric design and isogeometric analysis, it covers distinguishing curve/surface constructions and spline models, with a special focus on emerging adaptive spline constructions, fundamental spline theory and related algorithms, as well as various aspects of isogeometric methods, e.g. efficient quadrature rules and spectral analysis for isogeometric B-spline discretizations. Applications in finite element and boundary element methods are also discussed. Given its scope, the book will be of interest to both researchers and graduate students working in these areas.

ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics

Author : Liang-Yee Cheng
Publisher : Springer Nature
ISBN 13 : 3030634035
Total Pages : 966 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics by : Liang-Yee Cheng

Download or read book ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics written by Liang-Yee Cheng and published by Springer Nature. This book was released on 2020-12-01 with total page 966 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers various aspects of Geometry and Graphics, from recent achievements on theoretical researches to a wide range of innovative applications, as well as new teaching methodologies and experiences, and reinterpretations and findings about the masterpieces of the past. It is from the 19th International Conference on Geometry and Graphics, which was held in São Paulo, Brazil. The conference started in 1978 and is promoted by the International Society for Geometry and Graphics, which aims to foster international collaboration and stimulate the scientific research and teaching methodology in the fields of Geometry and Graphics. Organized five topics, which are Theoretical Graphics and Geometry; Applied Geometry and Graphics; Engineering Computer Graphics; Graphics Education and Geometry; Graphics in History, the book is intended for the professionals, academics and researchers in architecture, engineering, industrial design, mathematics and arts involved in the multidisciplinary field.

Mathematical Methods for Curves and Surfaces

Author : Michael Floater
Publisher : Springer
ISBN 13 : 331967885X
Total Pages : 333 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Mathematical Methods for Curves and Surfaces by : Michael Floater

Download or read book Mathematical Methods for Curves and Surfaces written by Michael Floater and published by Springer. This book was released on 2017-10-17 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed post-conference proceedings of the 9th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2016, held in Tønsberg, Norway, in June 2016. The 17 revised full papers presented were carefully reviewed and selected from 115 submissions. The topics range from mathematical theory to industrial applications.

The Universe of Quadrics

Author : Boris Odehnal
Publisher : Springer Nature
ISBN 13 : 3662610531
Total Pages : 606 pages
Book Rating : 4.6/5 (626 download)

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Book Synopsis The Universe of Quadrics by : Boris Odehnal

Download or read book The Universe of Quadrics written by Boris Odehnal and published by Springer Nature. This book was released on 2020-04-21 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Universe of Quadrics This text presents the theory of quadrics in a modern form. It builds on the previously published book "The Universe of Conics", including many novel results that are not easily accessible elsewhere. As in the conics book, the approach combines synthetic and analytic methods to derive projective, affine, and metrical properties, covering both Euclidean and non-Euclidean geometries. While the history of conics is more than two thousand years old, the theory of quadrics began to develop approximately three hundred years ago. Quadrics play a fundamental role in numerous fields of mathematics and physics, their applications ranging from mechanical engineering, architecture, astronomy, and design to computer graphics. This text will be invaluable to undergraduate and graduate mathematics students, those in adjacent fields of study, and anyone with a deeper interest in geometry. Complemented with about three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.

RAAD 2012

Author :
Publisher : E.S.A.
ISBN 13 : 889543045X
Total Pages : 388 pages
Book Rating : 4.8/5 (954 download)

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Book Synopsis RAAD 2012 by :

Download or read book RAAD 2012 written by and published by E.S.A.. This book was released on 2012 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cooperative Path Planning of Unmanned Aerial Vehicles

Author : Antonios Tsourdos
Publisher : John Wiley & Sons
ISBN 13 : 0470974648
Total Pages : 216 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Cooperative Path Planning of Unmanned Aerial Vehicles by : Antonios Tsourdos

Download or read book Cooperative Path Planning of Unmanned Aerial Vehicles written by Antonios Tsourdos and published by John Wiley & Sons. This book was released on 2010-11-09 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable addition to the literature on UAV guidance and cooperative control, Cooperative Path Planning of Unmanned Aerial Vehicles is a dedicated, practical guide to computational path planning for UAVs. One of the key issues facing future development of UAVs is path planning: it is vital that swarm UAVs/ MAVs can cooperate together in a coordinated manner, obeying a pre-planned course but able to react to their environment by communicating and cooperating. An optimized path is necessary in order to ensure a UAV completes its mission efficiently, safely, and successfully. Focussing on the path planning of multiple UAVs for simultaneous arrival on target, Cooperative Path Planning of Unmanned Aerial Vehicles also offers coverage of path planners that are applicable to land, sea, or space-borne vehicles. Cooperative Path Planning of Unmanned Aerial Vehicles is authored by leading researchers from Cranfield University and provides an authoritative resource for researchers, academics and engineers working in the area of cooperative systems, cooperative control and optimization particularly in the aerospace industry.

Rethinking Quaternions

Author : Ron Goldman
Publisher : Springer Nature
ISBN 13 : 3031795490
Total Pages : 157 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Rethinking Quaternions by : Ron Goldman

Download or read book Rethinking Quaternions written by Ron Goldman and published by Springer Nature. This book was released on 2022-05-31 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quaternion multiplication can be used to rotate vectors in three-dimensions. Therefore, in computer graphics, quaternions have three principal applications: to increase speed and reduce storage for calculations involving rotations, to avoid distortions arising from numerical inaccuracies caused by floating point computations with rotations, and to interpolate between two rotations for key frame animation. Yet while the formal algebra of quaternions is well-known in the graphics community, the derivations of the formulas for this algebra and the geometric principles underlying this algebra are not well understood. The goals of this monograph are to provide a fresh, geometric interpretation for quaternions, appropriate for contemporary computer graphics, based on mass-points; to present better ways to visualize quaternions, and the effect of quaternion multiplication on points and vectors in three dimensions using insights from the algebra and geometry of multiplication in the complex plane; to derive the formula for quaternion multiplication from first principles; to develop simple, intuitive proofs of the sandwiching formulas for rotation and reflection; to show how to apply sandwiching to compute perspective projections. In addition to these theoretical issues, we also address some computational questions. We develop straightforward formulas for converting back and forth between quaternion and matrix representations for rotations, reflections, and perspective projections, and we discuss the relative advantages and disadvantages of the quaternion and matrix representations for these transformations. Moreover, we show how to avoid distortions due to floating point computations with rotations by using unit quaternions to represent rotations. We also derive the formula for spherical linear interpolation, and we explain how to apply this formula to interpolate between two rotations for key frame animation. Finally, we explain the role of quaternions in low-dimensional Clifford algebras, and we show how to apply the Clifford algebra for R3 to model rotations, reflections, and perspective projections. To help the reader understand the concepts and formulas presented here, we have incorporated many exercises in order to clarify and elaborate some of the key points in the text. Table of Contents: Preface / Theory / Computation / Rethinking Quaternions and Clif ford Algebras / References / Further Reading / Author Biography

Time-Critical Cooperative Control of Autonomous Air Vehicles

Author : Isaac Kaminer
Publisher : Butterworth-Heinemann
ISBN 13 : 012809947X
Total Pages : 272 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Time-Critical Cooperative Control of Autonomous Air Vehicles by : Isaac Kaminer

Download or read book Time-Critical Cooperative Control of Autonomous Air Vehicles written by Isaac Kaminer and published by Butterworth-Heinemann. This book was released on 2017-08-02 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-Critical Cooperative Control of Autonomous Air Vehicles presents, in an easy-to-read style, the latest research conducted in the industry, while also introducing a set of novel ideas that illuminate a new approach to problem-solving. The book is virtually self-contained, giving the reader a complete, integrated presentation of the different concepts, mathematical tools, and control solutions needed to tackle and solve a number of problems concerning time-critical cooperative control of UAVs. By including case studies of fixed-wing and multirotor UAVs, the book effectively broadens the scope of application of the methodologies developed. This theoretical presentation is complemented with the results of flight tests with real UAVs, and is an ideal reference for researchers and practitioners from academia, research labs, commercial companies, government workers, and those in the international aerospace industry. - Addresses important topics related to time-critical cooperative control of UAVs - Describes solutions to the problems rooted in solid dynamical systems theory - Applies the solutions developed to fixed-wing and multirotor UAVs - Includes the results of field tests with both classes of UAVs

Interactive Theorem Proving

Author : Mauricio Ayala-Rincón
Publisher : Springer
ISBN 13 : 3319661078
Total Pages : 550 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Interactive Theorem Proving by : Mauricio Ayala-Rincón

Download or read book Interactive Theorem Proving written by Mauricio Ayala-Rincón and published by Springer. This book was released on 2017-09-04 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Conference on Interactive Theorem Proving, ITP 2017, held in Brasilia, Brazil, in September 2017. The 28 full papers, 2 rough diamond papers, and 3 invited talk papers presented were carefully reviewed and selected from 65 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematical theories.

Computer Mathematics

Author : Deepak Kapur
Publisher : Springer Science & Business Media
ISBN 13 : 3540878262
Total Pages : 369 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Computer Mathematics by : Deepak Kapur

Download or read book Computer Mathematics written by Deepak Kapur and published by Springer Science & Business Media. This book was released on 2008-09-29 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes thoroughly refereed post-conference proceedings of the 8th Asian Symposium on Computer Mathematics, ASCM 2007, held in Singapore in December 2007. The 22 revised full papers and 5 revised poster papers presented together with 3 invited lectures were carefully selected during two rounds of reviewing and improvement from 65 submissions. The papers are organized in topical sections on algorithms and implementations, numerical methods and applications, cryptology, and computational logic.

Bridging Circuits and Fields

Author : Alexander I. Petroianu
Publisher : CRC Press
ISBN 13 : 135177977X
Total Pages : 174 pages
Book Rating : 4.3/5 (517 download)

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Book Synopsis Bridging Circuits and Fields by : Alexander I. Petroianu

Download or read book Bridging Circuits and Fields written by Alexander I. Petroianu and published by CRC Press. This book was released on 2021-11-30 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Energy and power are fundamental concepts in electromagnetism and circuit theory, as well as in optics, signal processing, power engineering, electrical machines, and power electronics. However, in crossing the disciplinary borders, we encounter understanding difficulties due to (1) the many possible mathematical representations of the same physical objects, and (2) the many possible physical interpretations of the same mathematical entities. The monograph proposes a quantum and a relativistic approach to electromagnetic power theory that is based on recent advances in physics and mathematics. The book takes a fresh look at old debates related to the significance of the Poynting theorem and the interpretation of reactive power. Reformulated in the mathematical language of geometric algebra, the new expression of electromagnetic power reflects the laws of conservation of energy-momentum in fields and circuits. The monograph offers a mathematically consistent and a physically coherent interpretation of the power concept and of the mechanism of power transmission at the subatomic (mesoscopic) level. The monograph proves (paraphrasing Heaviside) that there is no finality in the development of a vibrant discipline: power theory.

The Advanced Geometry of Plane Curves and Their Applications

Author : C. Zwikker
Publisher : Courier Corporation
ISBN 13 : 0486153436
Total Pages : 316 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Advanced Geometry of Plane Curves and Their Applications by : C. Zwikker

Download or read book The Advanced Geometry of Plane Curves and Their Applications written by C. Zwikker and published by Courier Corporation. This book was released on 2011-11-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Of chief interest to mathematicians, but physicists and others will be fascinated ... and intrigued by the fruitful use of non-Cartesian methods. Students ... should find the book stimulating." — British Journal of Applied Physics This study of many important curves, their geometrical properties, and their applications features material not customarily treated in texts on synthetic or analytic Euclidean geometry. Its wide coverage, which includes both algebraic and transcendental curves, extends to unusual properties of familiar curves along with the nature of lesser known curves. Informative discussions of the line, circle, parabola, ellipse, and hyperbola presuppose only the most elementary facts. The less common curves — cissoid, strophoid, spirals, the leminscate, cycloid, epicycloid, cardioid, and many others — receive introductions that explain both their basic and advanced properties. Derived curves-the involute, evolute, pedal curve, envelope, and orthogonal trajectories-are also examined, with definitions of their important applications. These range through the fields of optics, electric circuit design, hydraulics, hydrodynamics, classical mechanics, electromagnetism, crystallography, gear design, road engineering, orbits of subatomic particles, and similar areas in physics and engineering. The author represents the points of the curves by complex numbers, rather than the real Cartesian coordinates, an approach that permits simple, direct, and elegant proofs.