A tantárgyleírás hatályossága
Hatályosság kezdete:
2026. March 21.
Hatályosság vége:
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| Subject name (Hungarian, English) |
Számítógépes grafika
Computer Graphics
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Subject code | BMEVIIIAB03 | ||||||||||||
| Subject type | — | ||||||||||||
| Training Level | — | ||||||||||||
| Course types and hours (weekly/semester) |
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| Assessment type | félévközi érdemjegy | ||||||||||||
| Credits | 4 | ||||||||||||
| Subject coordinator |
DR. Szirmay-Kalos László
position: egyetemi tanár
contact:
szirmay-kalos.laszlo@vik.bme.hu
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| Responsible department |
Irányítástechnika és Informatika Tanszék
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| Faculty | Villamosmérnöki és Informatikai Kar | ||||||||||||
| Subject website | http://cg.iit.bme.hu/portal/en/cgbme | ||||||||||||
| Primary curriculum type | — | ||||||||||||
| Direct prerequisites – Strong prerequisite | none | ||||||||||||
| Direct prerequisites – Weak prerequisite | none | ||||||||||||
| Direct prerequisites – Parallel prerequisite | none | ||||||||||||
| Direct prerequisites – Milestone prerequisite | none | ||||||||||||
| Direct prerequisites – Exclusion | none |
Objectives
Programme
- Analytic geometry. Geometries in general: euclidean, projective, fractal. Analytic geometry of the euclidean space: point, vector, coordinate systems. Vector operations, meaning and implementation in C++. Combination of points: line segment, line, circle parametric equations. Distance: implicit equations of the plane, sphere.
- Geometric modeling. Curves with implicit and parametric equations. Free form curves: Lagrange and Hermite interpolation, Bezier approximation, Catmull-Rom spline. Parametric surfaces. Catmull-Clark subdivision surface. Poligon modeling with Euler operators.
- Transformations: Projective space and homogeneous coordinates. Affine transformations (translation, scaling, rotation). Perspective. Wrap-around problem.
- 2D rendering: Vectorization. Decomposition of polygons to triangles. Modeling transformation. View and projection transformations. Clipping. Line rasterization. Polygon filling.
- GLUT/OpenGL 3: Syntax. Interfacing the windowing system. Window definition and event handlers. Retained mode rendering: Vertex array object. Vertex and fragment shaders in 2D rendering.
- Optics fundamentals of 3D rendering: radiance, BRDF. Smooth materials, geometric optics, refraction, Fresnel equations. Rough surfaces: diffuse and glossy reflection. Colors.
- Ray tracing: visibility problem. Surface normals. Shadows. Recursive ray tracing: mirrors and refractive surfaces.
- Incremental 3D rendering: surface tessellation, modeling transform. Camera definition and perspective transformation. Clipping in homogeneous coordinates. Visibility algorithms: back-face culling and z-buffer algorithm. Gouraud and Phong árnyalás. Texture mapping. OpenGL/GLSL programming.
- Animation: motion definition. Key-frame animation. Dynamics. Discrete event simulation. Collision detection and response. Character animation.
- Games: virtual reality and game architecture. Avatar. Game engines. Billboards and particle systems. Terrain modeling. Character animation. AI.
Introduction to visual informatics, including modeling, rendering, visualization, and programming on GPUs
Learning outcomes
Ez a tantárgy a KKK rendeletben meghatározott, következő kompetenciák fejlesztését szolgálja:
Knowledge
No learning outcomes recorded.
Skills
No learning outcomes recorded.
Attitudes
No learning outcomes recorded.
Autonomy and responsibility
No learning outcomes recorded.
Oktatási módszertan
Lecture and homeworks.
Tanulástámogató anyagok
Online források
http://cg.iit.bme.hu/portal/en/cgbme
Recommended preliminary knowledge for completing the subject
Knowledge type competencies
(azon előzetes ismeretek összessége, amelyek megléte nem kötelező, de a tantárgy eredményes teljesítését nagyban elősegíti)
Programming in C++, Linear algebra, Analysis, Physics (mechanics, optics)
Skill type competencies
(azon előzetes képességek és készségek összessége, amelyek megléte nem kötelező, de a tantárgy eredményes teljesítését nagyban elősegíti)
nincs
Recommended (non-compulsory) preliminary competencies
(azon ajánlott (nem kötelező) előzetesen megszerzendő kompetenciák összessége, amelyek jelentősen hozzájárulnak a tantárgy eredményes teljesítéséhez)
Programming in C++, Linear algebra, Analysis, Physics (mechanics, optics)
General rules
Requirements:
A written test and 3 homeworks. The test is compulsory.
Assessment methods
In-term assessments
No detailed assessments provided.
Weight of in-term assessments
No weights provided.
Exam-period assessments
No detailed assessments provided.
Weight of exam elements
No weights provided.
Grade calculation
No grade thresholds provided.
Attendance requirements
No attendance requirements provided.
Rules for retake and resubmission
Not provided.
Short description
Not provided.
Detailed description
IMSc program:
Homeworks.
Recommended courses
Not provided.
Workload to complete the subject
No workload breakdown provided.
Validity of subject requirements
Requirements valid from:
—
Requirements valid until:
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Curriculum placement
No curriculum placements recorded for this subject version.