Modelling and Rendering Techniques (Course Materials)

Lecture Monday 12:20 M-IX


No make-up exams will be given for missed tests. All the assignments should be turn in by the designated due date. To pass this course all the course requirements must be SATISFACTORILY completed > 30% of each problem set.

What you Need to Pass

  • Attend lessons. One missed +0 points. 2 missed 0 points, 3 missed 0 points, 4 and more is Fx.
  • Project and exercise (mandatory, 50 points).
  • Solve all homework problems (mandatory each one >=30%, 20 points)
  • Pass final term (mandatory, 10 points) You will need to solve several problems discussed during lessons.
  • Pass oral/written exam: (optional, +20 points) If you feel you are better, convince me !
  • Summary
    • Attendance = 0 or -100 (Fx)
    • Homework = +20..7 or +6..0 (Fx)
    • Project = +50..0
    • Mid term = +10..0
    • Final term = +20..0
    • Oral/written exam = +20..0
  • Grades
    • A = 92-100
    • B = 84-91
    • C = 76-83
    • D = 68-75
    • E = 60-67
    • Fx = 0-59

Oral Examination

To the oral examination all the above requirements must be SATISFACTORILY completed.

Materials to read

  • Michael Henle, "A Combinatorial Introduction to Topology"
  • J. O'Rourke, "Computational Geometry in C"
  • IA. T. Fomenko and T. L. Kunii, "Topological Modeling for Visualization"

Useful links

Lesson01 "Human visual system, Illusions"

Lecture notes: pdf, Color theory: pdf

Reading(prepare 3 questions and the core idea of article): R. Ďurikovič and K. Kolchin. Physically-based model of photographic effects for night and day scenes, Journal of Three Dimensional Images, 3D Forum Society, vol. 15, No.4, pages 119-124, 2001. [pdf]

Lesson02 "Photographic Effects, HDR and Tone Mapping"

Lecture notes: pdf

Reading evaluation.

Lesson03 "Three dimensional modeling"

Lecture notes: pdf

Demo animation: R. Ďurikovič, K. Kaneda, and H. Yamashita. Dynamic contour: a texture approach and contour operations. The Visual Computer, 11(6), pages 277-289, May 1995. [pdf]

Lesson04 "Three dimensional transformations"

Lecture notes: pdf

Demo animation: R. Ďurikovič, K. Kaneda, and H. Yamashita. Imaging and modelling from serial microscopic sections for the study of anatomy. Medical & Biological Engineering & Computing, 36(5), pages 276-284, 1998. [pdf]

Lesson05 "Representation of solids"

Lecture notes: pdf

Midterm 1 + questions from the following articles.

Demo animation: Roman Ďurikovič, Silvester Czanner, Julius Parulek and Miloš Šrámek. Heterogeneous modeling of biological organs and organ growth. In book: Alexander Pasko, Valery Adzhiev, and Peter Comninos. LNCS 4889: Heterogeneous Objects Modeling and Applications. Springer Press, Berlin, 2008. [pdf]

Lesson06 "Functional representation"

Lecture notes: pdf

R. Ďurikovič. Growth simulation of digestive system using function representation and skeleton dynamics, International Journal on Shape Modeling, vol. 10, No.1, pages 31-49, World Scientific Publishing Company, Singapore, 2004.[pdf]

Lesson07 "Test (midterm) 2"

Demo animation: Roman Ďurikovič and Zuzana Kúkelová. Sketch-based modelling system with convolution and variational implicit surfaces, Journal of the Applied Mathematics, Statistics and Informatics, University of Saint Cyril and Metod Press, Trnava, Slovakia, vol. 4, No.1, pages 101-108, 2008. [pdf]

Lesson08 "Computational topology of polygonal surfaces"

Lecture notes: pdf

Demo animation: Y. Wakabayashi and R. Ďurikovič. Modeling bonsai tree using positional information, Joint Convention Record of Tohoku Chapter of the Electrical and Information Engineers, No. 2I19, Yonezawa, Japan, pages 341, 2002.[pdf]

Lesson09 "Applied computational topology"

Lecture notes: pdf

Solving problems 7P 1~7

Lesson10 "Surface classification via topological surgery"

Lecture notes: pdf

Lesson11 "Surface classification via topological surgery II"

Lecture notes: pdf

Solving problems 8P 1~4

Lesson12 "Aliasing, Antialiasing"

Lecture notes: pdf

Lesson13 "Last lecture"

Final exam!


guide: Adam Riečický

Wednesdays at 8:10 in F1-248

Intro slides

The exercises will be focused on the practical approach of modeling and rendering using Blender. The evaluation consists of two projects covering exercised techniques.

50 pts - Project Stage 1: Modeling
50 pts - Project Stage 2: Rendering


24.9. Blender Basics

Please fill out Blender experience questionare.

Warm-up and get familiar with the interface.

30.9. Mesh Modelling Fundamentals

Trying out mesh edit mode and editing tools.

Practical home assignment [2 bonus points]
Pick two furniture objects from IKEA LIATORP living room series.
Model them using techniques learned on exercise.
Send .blend file with finished objects and reference images at
Deadline: Tuesday 6.10. 23:59

7.10. Mesh Smoothing and Modifiers

Understanding Blender modifiers. Subdivision surface modifier vs subdivision tool, mirror modifier, array modifier.

14.11. Curve Modelling

What are curves and why should we care
Giving thickness, swiping and screwing curves in Blender to create procedural polygonal surfaces

21.10. Metaballs (Blobby objects) and CSG

What are blobby objects, how are they used and what are they good for
What is Constructive solid geometry (CSG) and how it can be modelled in Blender
Examples of CSG objects [1], [2], [3]


The project is focused on practicing techniques of modelling and rendering learned on exercises. It is split into two stages evaluated separately throughout the semester.

Note: Accomplishing bonus tasks grant you an additional points, but cannot get you over the maximum of 100p from exercises.

Stage 1

Deadline on Sunday 15.11.2020 at 23:59

Goal of this project stage is to create models for interior "room" scene.

Find reference images for objects and model them using learned techniques.
Create 2 objects from each modelling category:
Simple Polygonal: apple, lamp, book, chair, etc.
Curve: light bulb, vine glass, candle holder, corkscrew, etc.
Create 1 object from each modelling category:
CSG: mug, ashtray, bowl, etc.
Blobby: candle, toy (teddy bear, dino, ...), etc.
Use correct modelling techniques for each model category (20p)
Simple Polygonal: extrusion, inset, loop cutting...
Curve: curves, screw modifier...
CSG: boolean modifier, parenting, object hiding...
Blobby: metaballs, negative influence...
Complexity of selected reference and modelled detail (15p)
Editing friendliness - not applied modifiers, low polygon count (10p)
Aesthetic of created models - proportions, realism, etc. (5p)
Before modelling create folder named "mrt_p1_[your name]" and place all files inside that folder.
Each model should be located in a separate collection
Folder should contain ONLY ONE blend file and object reference images
Pack folder to archive (zip/7z/rar) and send to with subject "MRT Project 1"