VIN Acad. year 2013/2014 Summer semester 5 credits
Introduction into computer art, computer-aided creativity in the context of generalized aesthetics, a brief history of the computer art, aesthetically productive functions (periodic functions, cyclic functions, spiral curves, superformula), creative algorithms with random parameters (generators of pseudo-random numbers with different distributions, generator combinations), context-free graphics and creative automata, geometric substitutions (iterated transformations, graftals), aesthetically productive proportions (golden section in mathematics and arts), fractal graphics (dynamics of a complex plane, 3D projections of quaternions, Lindenmayer rewriting grammars, space-filling curves, iterated affine transformation systems, terrain modeling etc.), chaotic attractors (differential equations), mathematical knots (topology, graphs, spatial transformations), periodic tiling (symmetry groups, friezes, rosettes, interlocking ornaments), non-periodic tiling (hierarchical, spiral, aperiodic mosaics), exact aesthetics (beauty in numbers, mathematical appraisal of proportions, composition and aesthetic information).
Language of instruction
Staudek Tomáš, Mgr., Ph.D. (DCGM FIT BUT)
Subject specific learning outcomes and competences
Students will get acquainted with the principles of mathematics and computer science in the artistic fields, get acquainted with examples of the applied computer art, its history, current tendencies and future development, students will also learn practical skills from the field of computer art and finally, they will realize practically artistic creations with the aid of computer.
To get acquainted with the principles of mathematics and computer science in the artistic fields, to get acquainted with examples of the applied computer art, its history, current tendencies and future development, to learn practical skills from the field of computer art and realize practically artistic creations with the aid of computer.
Prerequisite kwnowledge and skills
Artistic sense, basic mathematical knowledge, basic knowledge of computer graphics principles.
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Syllabus of lectures
- Towards mathematical art: Overview of art in 20th and 21st centuries.
- Generalized aesthetics: Visual forms of mathematical art.
- History of computer art: From analog oscillograms to virtual reality.
- Aesthetic functions I: From sinus and cosinus to the superformula.
- Aesthetic functions II: Generated graphics and the rhythm of algorithms.
- Aesthetic proportions: Golden section in mathematics, art and design.
- Graftals: Branching systems and models of growth in nature.
- Fractals I: Iterated functions systems and space-filling curves.
- Fractals II: From complex fractals into higher dimensions and chaos.
- Computational photography: introduction to computational photography, methods and principles.
- High Dynamic Range imaging: introduction of HDR and tone mapping techniques, possibilities and limitations.
- Ornaments and tiling: Symmetry, periodic tiling and interlocking ornaments.
- Exact aesthetics: Mathematical appraisal of shape, color and composition.
Syllabus of computer exercises
Practical assignments follow the lecture topics and are realized in a form of creative workshops (demonstration programs for each topic are available).
Syllabus - others, projects and individual work of students
Letterism and ASCII art, Digital improvisation, Generated graphics, Quantized functions, Chaotic attractors, Context-free graphics, Non-linear transformations, Quaternion fractals, Fractal landscape, Knotting, Escher's tiling, Islamic ornament, Digital collage, Graphic poster
Creative workshop projects - up to 49 points (10 evaluated pieces by ~5 points):
3 points: technical realization
2 points: aesthetic quality
Final exam - up to 51 points (creative graphics application):
~15 points: concept originality
~20 points: programming intensity
~15 points: interface quality
The monitored teaching activities include lectures, individual creative workshop projects, and the final exam in a form of a creative graphics application. The final exam has two possible correction terms.
Course inclusion in study plans