Computer Graphics
Obsah
Lecturer
Conditions for the award of graded assessment
Subject is completed by the award of graded credit (assessment). The conditions for awarding a graded credit (assessment) are active participation in tutorials, submitting the Homework I and Homework II, and writing an assessment test (see programme).
| Condition | Points | Points after deadline |
|---|---|---|
| Homework I | 20 | 0 |
| Homework II | 20 | 0 |
| Assessment test | 60 | |
Assessment test topics, example
If the total score from both the homework and the final assessment test is less than 50, one retake test is allowed.
Classification
| Points | Grade | |
|---|---|---|
| 90 – 100 | A | excellent |
| 80 – 89 | B | very good |
| 70 – 79 | C | good |
| 60 – 69 | D | satisfactory |
| 50 – 59 | E | sufficient |
| less than 50 | F | failed |
Programme
| Lesson | Date | Content | Homework |
| Lecture | 16. 2. | Introduction Curves – definition, analytic expression Ferguson cubic curve – definition, properties, 3rd-degree Hermite polynomials derivation Bézier curve – definition, properties, Bernstein polynomials derivation, de Casteljau algorithm |
|
| Tutorial | 23. 2. | Ferguson and Bézier curves – examples | Optional: Bézier and Ferguson curves |
| Lecture | 2. 3. | Coons cubic curve – definition, properties, Coons polynomials derivation Continuity – parametrical and geometrical Coons cubic B-spline – definition, properties Clamped curve – definition, properties |
Optional: C2 continuity of Ferguson curves |
| Tutorial | 9. 3. | Continuity of Ferguson, Bézier a Coons curves – examples Coons cubic B-spline – examples Clamped curve – examples Homework I assignment |
Homework I – Curves modelling |
| Lecture | 16. 3. | Surface – definition, properties, parametric curves, tangent vectors of parametric curves, twist vector, boundaries, corners, tangent planes at corners Ruled surface – definition, properties Surface of hyperbolic paraboloid – definition, properties |
|
| Tutorial | 23. 3. | Ruled surface – examples Surface of hyperbolic paraboloid – examples Homework I submission |
|
| Lecture | 30. 3. | Coons bilinear surface – definition, properties | |
| Tutorial | 6. 4. | Easter – the lesson is cancelled | |
| Lecture | 13. 4. | Bézier surface – definition, properties | |
| Tutorial | 20. 4. | Coons bilinear surface – examples Bézier surface – examples Homework II assignment |
|
| Lecture | 27. 4. | Bézier surface – continuity along te common boundary of two Bézier surfaces | |
| Tutorial | 4. 5. | Homework II submission Pre-assessment test consultation |
|
| Lecture | 11. 5. | Assessment test | |
| Tutorial | 18. 5. | Assessment test (retake) |
Study materials
- Linkeová, I.: Curves and surfaces for computer graphics
- Linkeová, I.: Modelling and analysis of freeform curves and surfaces in Rhinoceros
- Pajerová, N.: Lectures
