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Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable

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Cover of 'Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Preamble
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    Chapter 3 Polynomials
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    Chapter 4 Complex Numbers
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    Chapter 5 Quaternions
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    Chapter 6 Clifford Algebra
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    Chapter 7 Coordinate Systems
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    Chapter 8 Differential Geometry
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    Chapter 9 Algebraic Geometry
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    Chapter 10 Non—Euclidean Geometry
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    Chapter 11 The Bernstein Basis
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    Chapter 12 Numerical Stability
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    Chapter 13 Bézier Curves and Surfaces
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    Chapter 14 C 2 Cubic Spline Curves
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    Chapter 15 Spline Basis Functions
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    Chapter 16 Arc—length Parameterization
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    Chapter 17 Pythagorean—hodograph Curves
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    Chapter 18 Tschirnhausen's Cubic
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    Chapter 19 Complex Representation
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    Chapter 20 Rational Pythagorean-hodograph Curves
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    Chapter 21 Pythagorean Hodographs in ℝ 3
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    Chapter 22 Quaternion Representation
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    Chapter 23 Helical Polynomial Curves
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    Chapter 24 Minkowski Pythagorean Hodographs
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    Chapter 25 Planar Hermite Interpolants
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    Chapter 26 Elastic Bending Energy
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    Chapter 27 Planar C 2 PH Quintic Splines
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    Chapter 28 Spatial Hermite Interpolants
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    Chapter 29 Real—time CNC Interpolators
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    Chapter 30 Rotation—minimizing Frames
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    Chapter 31 Closure
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wikipedia
5 Wikipedia pages

Citations

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331 Dimensions

Readers on

mendeley
35 Mendeley
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Title
Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable
Published by
Springer Berlin Heidelberg, January 2008
DOI 10.1007/978-3-540-73398-0
ISBNs
978-3-54-073398-0, 978-3-54-073397-3
Authors

Farouki, Rida T, Farouki, Rida T.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 35 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Norway 2 6%
China 1 3%
Netherlands 1 3%
Unknown 31 89%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 16 46%
Other 4 11%
Student > Master 4 11%
Researcher 2 6%
Professor 2 6%
Other 3 9%
Unknown 4 11%
Readers by discipline Count As %
Engineering 15 43%
Mathematics 7 20%
Computer Science 2 6%
Physics and Astronomy 2 6%
Business, Management and Accounting 1 3%
Other 2 6%
Unknown 6 17%