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Geometric Modeling and Algebraic Geometry

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Cover of 'Geometric Modeling and Algebraic Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 The GAIA Project on Intersection and Implicitization
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    Chapter 2 Some Covariants Related to Steiner Surfaces
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    Chapter 3 Real Line Arrangements and Surfaces with Many Real Nodes
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    Chapter 4 Monoid Hypersurfaces
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    Chapter 5 Canal Surfaces Defined by Quadratic Families of Spheres
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    Chapter 6 General Classification of (1,2) Parametric Surfaces in 葳 3
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    Chapter 7 Curve Parametrization over Optimal Field Extensions Exploiting the Newton Polygon
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    Chapter 8 Ridges and Umbilics of Polynomial Parametric Surfaces
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    Chapter 9 Intersecting Biquadratic Bézier Surface Patches
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    Chapter 10 Cube Decompositions by Eigenvectors of Quadratic Multivariate Splines
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    Chapter 11 Subdivision Methods for the Topology of 2d and 3d Implicit Curves
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    Chapter 12 Approximate Implicitization of Space Curves and of Surfaces of Revolution
Attention for Chapter 5: Canal Surfaces Defined by Quadratic Families of Spheres
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