Table of Contents

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   Book Overview
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   Chapter 1 Introduction
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   Chapter 2 Motivation: Curves
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   Chapter 3 Motivation: Surfaces
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   Chapter 4 Distance and Projection
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   Chapter 5 Elements of Measure Theory
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   Chapter 6 Polyhedra
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   Chapter 7 Convex Subsets
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   Chapter 8 Differential Forms and Densities on E N
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    Chapter 9 Measures on Manifolds
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    Chapter 10 Background on Riemannian Geometry
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    Chapter 11 Riemannian Submanifolds
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    Chapter 12 Currents
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    Chapter 13 Approximation of the Volume
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    Chapter 14 Approximation of the Length of Curves
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    Chapter 15 Approximation of the Area of Surfaces
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    Chapter 16 The Steiner Formula for Convex Subsets
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    Chapter 17 Tubes Formula
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    Chapter 18 Subsets of Positive Reach
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    Chapter 19 Invariant Forms
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    Chapter 20 The Normal Cycle
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    Chapter 21 Curvature Measures of Geometric Sets
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    Chapter 22 Second Fundamental Measure
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    Chapter 23 Curvature Measures in E 2
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    Chapter 24 Curvature Measures in E 3
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    Chapter 25 Approximation of the Curvature of Curves
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    Chapter 26 Approximation of the Curvatures of Surfaces
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    Chapter 27 On Restricted Delaunay Triangulations