Simon Fraser University
Engaging the World

Course Outlines

Spring 2023 - CMPT 464 D100

Geometric Modelling in Computer Graphics (3)

Class Number: 6730

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 4 – Apr 11, 2023: Thu, 2:30–5:20 p.m.
    Burnaby

  • Prerequisites:

    CMPT 361, MACM 316, both with a minimum grade of C-.

Description

CALENDAR DESCRIPTION:

Covers advanced topics in geometric modelling and processing for computer graphics, such as Bezier and B-spline techniques, subdivision curves and surfaces, solid modelling, implicit representation, surface reconstruction, multi-resolution modelling, digital geometry processing (e.g. mesh smoothing, compression, and parameterization), point-based representation, and procedural modelling. Students with credit for CMPT 469 between 2003 and 2007 or equivalent may not take this course for further credit.

COURSE DETAILS:

The course covers 3D modeling, as well as the basics of non-linear optimization for inverse problems. It introduces classical "Polygonal Mesh" representations, as well as the emerging "Neural Fields" (i.e. coordinate neural networks): a new representation of signals that is quickly revolutionizing computer vision/graphics. We will discuss acquisition, processing, and synthesis of 3D content, with applications to 3D machine vision, robotics, real-time 3D graphics, computational design, medical imaging, AR/VR, as well as digital art.


Notes
- The language of choice for practical exercises is Python
- This course will be cross-listed with CMPT 764

Topics
- The history of 3D scanning (and Neural Radiance Fields)
- Basics of differential geometry (Laplace Beltrami operator)
- Fairing and reconstruction (basics of Variational Calculus)
- Inverse modeling (maximum likelihood and maximum a-posteriori)
- Registration (robut least squares optimization)
- Deformation (sparse linear systems, matrix factorization)
- Compression (singular value decomposition, and transforms)
- Neural Fields (auto-decoding, neural hashing, ...)

Grading

  • One midterm 40%
  • Two homeworks 30%
  • Final Project 30%

Materials

REQUIRED READING:

"Polygon Mesh Processing" by Mario Botsch, Leif Kobbelt, Mark Pauly, Pierre Alliez, Bruno Levy. October 7, 2010 by A.K. Peters/CRC Press.
ISBN: 9781568814261

REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the university community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the university. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the university. http://www.sfu.ca/policies/gazette/student/s10-01.html