Modelling and Rendering Techniques (Course Materials)

Lecture Monday 8:10 M-XII Exercise Tuesday 13:10 M-XII


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.

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

Tuesday 11:30 F1-248

The exercises will be focused on practical approach of modelling and rendering using Blender. Evaluation consists of two individual projects covering exercised topics. Also, a short presentation from assigned topic will be required from each student.


20p - Attendance ( 10x2p )

50p - 3D Modelling Project ( 2x25p )

30p - Presentation (compulsory)

EXCERCISE 01 "Blender Basics"


  • Download the latest 32-bit zip version of Blender from
  • Introduction to Blender, workspace, 3D view manipulation, objects and their transformations,
  • Mesh edit mode, mesh manipulation
  • For help see Blender Shortcuts and Controls pdf

EXCERCISE 02 "HDR and Mesh Modelling Fundamentals"


  • Conversion from .hdr file format, calculation of percieved green color from incomming radiance
  • You can search for Simpsons 1/3 rule in a book Numeric Mathematics at page 104
  • Blender - Mirror and Subdivision surface modifiers

EXCERCISE 03 "Mesh Smoothing and Modifiers"


  • Subsurf, mirror and screw mesh modifiers in Blender


Deadline on Sunday 12.11.2016 at 23:59

Select and create 4 models form reference images using the techniques we’ve learned.

Possible models
light bulb, vine glass, tree, mug, bottle, candle holder, table, chair, corkscrew, lamp, screw, book or other after consultation.
Use all of techniques (on any model): extrusion, loop cutting, curves, boolean modifier
Complexity of selected reference and realistic looks of result will be rated
Mesh should have as lowest number of base faces as possible
Screenshots of modelling process are required
Use Snipping Tool or Screenpresso to capture your progress regularly (every mayor change)
Pack (zip/7z/rar) unmodified screenshots, reference photos and .blend file with all finished models, each on separate layer.
Send the archive to

Revision as of 10:46, 11 October 2017 by Riecicky (Talk | contribs) (PROJECT 01)