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Next:
11.1 Introduction
Up:
Shape Interrogation for Computer
Previous:
10.8 Geodesics on developable
Contents
Index
11. Offset Curves and Surfaces
Subsections
11.1 Introduction
11.1.1 Background and motivation
11.1.2 NC machining
11.1.3 Medial axis
11.1.3.1 Algorithms for determining the MAT or related sets
11.1.3.2 Theoretical analysis of the MAT properties
11.1.4 Tolerance region
11.2 Planar offset curves
11.2.1 Differential geometry
11.2.2 Classification of singularities
11.2.3 Computation of singularities
11.2.4 Approximations
11.3 Offset surfaces
11.3.1 Differential geometry
11.3.2 Singularities of offset surfaces
11.3.3 Self-intersection of offsets of implicit quadratic surfaces
11.3.4 Self-intersection of offsets of explicit quadratic surfaces
11.3.5 Self-intersection of offsets of polynomial parametric surface patches
11.3.6 Tracing of self-intersection curves
11.3.7 Approximations
11.4 Pythagorean hodograph
11.4.1 Curves
11.4.2 Surfaces
11.5 General offsets
11.6 Pipe surfaces
11.6.1 Introduction
11.6.2 Local self-intersection of pipe surfaces
11.6.3 Global self-intersection of pipe surfaces
11.6.3.1 End circle to end circle global self-intersection
11.6.3.2 Body to body global self-intersection
11.6.3.3 End circle to body global self-intersection
11.6.3.4 A necessary and sufficient condition for nonsingularity
December 2009
