Monday 16:30 B

## Contents

- 1 Course Requirements
- 2 Lessons
- 2.1 Lesson01 "Human visual system, Illusions"
- 2.2 Lesson02 "Photographic Effects, HDR and Tone Mapping"
- 2.3 Lesson03 "Three dimensional modeling"
- 2.4 Lesson04 "Three dimensional transformations"
- 2.5 Lesson05 "Representation of solids"
- 2.6 Lesson06 "Functional representation"
- 2.7 Lesson07 "Test (midterm) 2"
- 2.8 Lesson08 "Computational topology of polygonal surfaces"
- 2.9 Lesson09 "Applied computational topology"
- 2.10 Lesson10 "Surface classification via topological surgery"
- 2.11 Lesson11 "Surface classification via topological surgery II"
- 2.12 Lesson12 "Aliasing, Antialiasing"
- 2.13 Lesson13 "Last lecture"

- 3 Exercises

## Course Requirements

Class participation; Projects; 2x Quiz, 7x Homework, Final examination

### Grading

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.

### Evaluation

- 92-100 A, 84-91 B, 76-83 C, 68-75 D, 60-67 E
- homeworks: 20%; Projects: 50%; mid term exam: 10%; Oral exam +0...20%; final exam: 20%

### Absence Policy

Each absence of a lecture will be counted and 3 points will be deducted from the final grade. Two absences will be allowed with no penalty with the prior approval of the instructor. If you missed more than 3 lectures you failed the course.

### Oral Examination

To the oral examination all the above requirements must be SATISFACTORILY completed. To pass the course you should pass the oral examination.

### 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

# Lessons

### 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!

# Exercises

teacher: Zuzana Berger Haladová

Thursday 8:10 I9

### Evaluation

- 10 * 2p Attendance
- 3 * 15p Homeworks
- 35p Presentation (compulsory)