2026. 02. 11.

Geometric Modeling 1

BMEEPAGA405

LECTURER:
András Sipos PHD
professor

SCHEDULE • 2026 SPRING SEMESTER

Week Date Lecture • Tue, 15–17:00 Lab • Thu, 8–10
1.
(8.)
17 Feb. (Tue).
19 Feb. (Thu).
Planar curves and their features, curvature Conic Sectios: construction of points and tangents at the points based on focal definition, osculating circle, 4 center ellipse method
2.
(9.)
24 Feb. (Tue).
26 Feb. (Thu).
Derivation of conic sections. Evolute Intersection of conic sections and lines, tangent constructions with elementary methods
3.
(10.)
03 Mar. (Tue).
05 Mar. (Thu).
Spatial curves. Torsion. Curves on surfaces. Geodesics. Tagent plane Intersection of conic sections and lines, tangent constructions with axonoamtry and central axial collineation
4.
(11.)
10 Mar. (Tue).
12 Mar. (Thu).
Curvatures of surfaces, Gauss- and mean curvature. Classification of surfaces. Spirals (involute of circle, cycloids, Archimedian-, Golden- and Fibonacci spiral) and spatial curves (helices, great and level circles on the sphere)
5.
(12.)
17 Mar. (Tue).
19 Mar. (Thu).
Derivations, features and images of the cone, cylinder and sphere Intersections and shadows of the sphere
6.
(13.)
24 Mar. (Tue).
26 Mar. (Thu).
• Test 1 •
Images of cone and cylinder in parallel projections, intersections and shadows
7.
(14.)
Sketch Design Wk. » • Sketch Design Wk. » 🎓 • Sketch Design Wk. » 🎓
8.
(16.)
14 Apr. (Tue).
16 Apr. (Thu).
Derivations, features and images of the ellipsoid-, paraboloid of revolution Images of cone and cylinder in central projections, shadow constructions
9.
(17.)
ea: ápr.23.cs.
gy: ápr.23.cs.
Derivations, features and images of the hyperboloid of revolution Images of ellipsoid- and paraboloid of revolution in parallel projections, intersection and shadows
10.
(18.)
28 Apr. (Tue).
30 Apr. (Thu).
Intersections of quadratic surfaces Images of hyperboloid of revolution in parallel projections, intersection and shadows
11.
(19.)
05 May. (Tue).
07 May. (Thu).
Derivations, features and images of the torus. Construction of intersection, contour curve and shadows Intersection of surfaces
12.
(20.)
12 May. (Tue).
14 May. (Thu).
Derivations, features and images of ruled surfaces Ruled Surfaces, helical surface
13.
(21.)
19 May. (Tue).
21 May. (Thu).
• Test 2 •
Consultation
• Submission of the Project •
14.
(22.)
Design
Week »
• Design
Week » 🎓
• Design
Week » 🎓
     
Days off: • 30 Mar. (Mon) — 01 Apr. (Wed) •Design Week | 02 Apr. (Thu) — 10 Apr. (Fri) •Spring Break | 15 Apr. (Wed) •Faculty Break | 01 May. (Fri) •Holiday | 25 May. (Mon) • Pentecost | 26 May. (Tue) — 29 May. (Fri) •Design Week |

CONDITIONS OF FULFILLMENT

GENERAL RULES Mobile phones must be deactivated in the classroom. Coming into class late, and leaving class early should be completely avoided, since it is disruptive and prevents other students from giving their full attention to learning. Students should take notes on the lectures.
 ATTENDANCE It is important to attend all classes. Any time you are absent, it is your responsibility to obtain notes and assignments and be prepared for the next class. If you miss two consecutive weeks or more than 30% of the classes by midterm, you may be dropped.
ASSIGNMENTS Homework should be done on schedule and with understanding. Deadline of the submission is the practical class on the last week. Late submission of an assignment or returned (usnsatisfactory) drawing can be accepted until the end of the repetition week (Friday noon). In case of late submission the grade will be decreased by 2 points.
GRADING POLICY Minimum requirements to pass the semester:
1. Regular attendance. (Minimum 70 %)
2. Successful accomplishment of the drawing (10 point). Marks can be from 0 to 20.
3. Minimum 20 + 20 point from the two 40 + 40 point tests.
REPEATED TESTS There will be separate repeated test on the first test (during the semester) and on the second test (in the week of repetitions).
Registration is necessary via NEPTUN.
FINAL EXAM The final exam consist of a test and a comprehensive oral part.
Registration is necessary via NEPTUN.
FINAL GRADE The final grade is based on the mid-semester results and results of the test and the oral examinations. A maximum 100 point can be achieved from the exam, that is the maximum for the semester can be 200 point. The grading policy is as follows:
[0-100): Insufficient (1)
[100-125): Sufficient (2)
[125-150): Satisfactory(3)
[150-175): Good (4)
[175-200]: Excellent (5)
REMARKS Suggestions for achieving success:
(1) Attending class and doing daily assignments is essential for success in this class.
(2) Being a part of a group that studies desc. geom. together is quite often helpful.
(3) Help in attaining your goals is available during our office hours.