(pdf 757 KB)

Abstract:

Contents:

1. Introduction

1.1 Purposes of surface interrogation
1.2 Overview

2. Review of differential geometry
3. Surface interrogation methods

3.1 Isolines

3.1.1 Contour lines
3.1.1 Parabolic lines

3.2 Light reflection methods

3.2.1 Reflection lines
3.2.2 Highlight lines
3.2.3 Isophotes

3.3 Variable surface offsets

3.3.1 Hedgehog diagrams and curvature plots
3.3.2 Generalized focal surfaces

3.4 Detection of inflections

3.4.1 Orthotomics
3.4.2 Polarity methods

3.5 Color mappings

3.5.1 Color maps
3.5.2 Pseudo texture

3.6 Characteristic lines

3.6.1 Lines of curvature, umbilics
3.6.2 Geodesic paths

4. References

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