COMPUTATIONAL GEOMETRY

Topology, geometry, and the machinery of CAD.

A structured study of boundary representation, modeling operators, features, product models, free-form geometry, and the path from mathematical shape to interactive engineering object.

CURATED SERIES

Boundary Representation Modelling Techniques

A systematic reading of Ian Stroud’s work, translated into practical concerns for modern CAD architecture and geometric software.

16 chapters
  1. 01 Introduction
  2. 02 Modelling Background
  3. 03 Datastructures and Tools
  4. 04 Euler Operators
  5. 05 Special Representations
  6. 06 Stepwise Modelling Algorithms
  7. 07 Modelling Operator Definition
  8. 08 Product Modelling
  9. 09 Feature Modelling
  10. 10 Graphics
  11. 11 Inputting and Outputting
  12. 12 Modeller Access
  13. 13 Free-form Geometry
  14. 14 Applications
  15. 15 The Medial Axis Transform
  16. 16 Miscellaneous Aspects of Modelling

KNOWLEDGE MAP

From topological validity to design intent.

01

Represent

Vertices, edges, loops, faces, shells, regions, and their topological relationships.

02

Operate

Euler operations, stepwise modeling algorithms, Booleans, blends, and transformations.

03

Interpret

Product semantics, feature recognition, parametric definitions, and persistent meaning.

04

Present

Tessellation, display structures, selection, interaction, and engineering visualization.