Chapter 25

Intersection Problems

Nicholas M. Patrikalakis and Takashi Maekawa


Intersections are fundamental in computational geometry, geometric modeling and design, analysis and manufacturing applications [4],[33],[67]. Examples of intersection problems include: (1) Contouring of surfaces through intersection with a series of parallel planes or coaxial cylinders for visualization. (2) Numerical control machining (milling) involving intersection of offset surfaces with a series of parallel planes, to create machining paths for ball (spherical) cutters. (3) Representation of complex geometries in the Boundary Representation (B-rep) scheme using a process called boundary evaluation, in which the Boundary Representation is ...

Get Handbook of Computer Aided Geometric Design now with O’Reilly online learning.

O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.