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Pythagorean-Hodograph Curves

Pythagorean-Hodograph Curves

Rida T Farouki

107,16 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2010
Materia
Diseño asistido por ordenador (CAD)
ISBN:
9783642092435
107,16 €
IVA incluido
Disponible

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Sobre IBD

Preface Chapter 1: Introduction PART I: ALGEBRA Chapter 2: PreambleChapter 3: PolynomialsChapter 4: Complex numbersChapter 5: QuaternionsChapter 6: Clifford algebra PART II: GEOMETRY Chapter 7: Coordinate systemsChapter 8: Differential geometryChapter 9: Algebraic geometryChapter 10: Non-Euclidean geometry PART III: COMPUTER-AIDED GEOMETRIC DESIGN Chapter 11: The Bernstein basisChapter 12: Numerical stabilityChapter 13: Bezier curves and surfacesChapter 14: C^2 cubic spline curvesChapter 15: Spline basis functions PART IV: PLANAR PYTHAGOREAN-HODOGRAPH CURVES Chapter 16: Arc-length parameterizationChapter 17: Pythagorean-hodograph curvesChapter 18: Tschirnhausen’s cubicChapter 19: Complex representationChapter 20: Rational Pythagorean-hodograph curves PART V: SPATIAL PYTHAGOREAN-HODOGRAPH CURVES Chapter 21: Pythagorean hodographs in R^3Chapter 22: Quaternion representationChapter 23: Helical polynomial curvesChapter 24: Minkowski Pythagorean hodographs PART VI: ALGORITHMS Chapter 25: Planar Hermite interpolantsChapter 26: Elastic bending energyChapter 27: Planar C^2 PH quintic splinesChapter 28: Spatial Hermite interpolants PART VII: APPLICATIONS Chapter 29: Real-time CNC interpolatorsChapter 30: Rotation-minimizing frames Chapter 31: Closure References Index

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