Final-year/MSc Geometric Modelling Course


University of Bath

Department of Mechanical Engineering



 

Modelling the shapes of three-dimensional engineering components and assemblies using computers.

 

Adrian Bowyer
 

Email:

A.Bowyer@bath.ac.uk

 
 

This course is entirely on the web.

You can dip into any aspect of the course at any time, but my lectures will take you through it in the following order over the semester.  In particular, it is important that we do the problem sheets before the chapters that they introduce, and the sample exam questions afterwards.  Collaborate with each other on the problem sheets; try to do the exam questions on your own.

  1. Introductory Notes
  2. Revision: Vectors and Set-theory
  3. Chapter 1: Precursors to Geometric Models
  4. Problem sheet 1: Introducing boundary-representation geometric modellers
  5. Chapter 2: Boundary-representation Models
  6. Chapter 3: Sculptured Surfaces
  7. Try Question 4 of this past exam.
  8. Problem sheet 2: Introducing Bernstein-basis curves
  9. Chapter 4: Bernstein Basis curves and sculptured surfaces
  10. Try Question 2 of this past exam, Question 2 of this one, and Question 2 of this one.
  11. Problem sheet 3: Introducing implicit inequalities and set-theoretic geometric models
  12. Chapter 5: Set-theoretic or Constructive-solid-geometry Modellers
  13. Try Question 3 of this past exam, Question 2 of this one, and Question 5 of this one (N.B. exam Figure Q5 is on the next page...).
  14. Chapter 6: Additive manufacturing
  15. Chapter 7: Feature Recognition
  16. Try Question 5 of this past exam, Question 3 of this exam, and Question 4 of this one.
  17. Chapter 8: Storing Non-geometric Information in Geometric Models
  18. Chapter 9: Integral Properties of Geometric Models
  19. Try Question 4 of this past exam.
  20. Chapter 10: Constraints
  21. Try Question 5 of this past exam, and Question 3 of this one.
  22. Chapter 11: Configurations, Minkowski sums, and Collisions
  23. Try Question 5 of this past exam.
  24. Chapter 12: Applications and techniques
  25. Try Question 4 of this past exam, and Question 5 of this one.
  26. Chapter 13: The future? Procedural models

Reading List and Some Relevant Web Sites

Past exam papers

Bath users can take a copy of the entire course as PDF files from the following URL: http://staff.bath.ac.uk/ensab/G_mod/FYGM/pdf.bho.

© Adrian Bowyer 1996, 1999, 2005, 2006