The table below gives the plan for the lectures in INF-MAT5340, Spring 2011. All lectures take place in room 1206 in Kristen Nygaards building (Ifi1). To hand in an assignment, send it as an attachment to Bart?omiej Siwek (bartloms@ifi.uio.no) or hand it in manually at his office (room 517, Niels Henrik Abels hus).
There will be a total of 5 assignments. In order to take the exam you must pass at least 4 of these, and the Assignments 1 and 4 must be passed.
Please note that this plan will almost certainly be changed!
|
Date |
Teacher |
Topic |
Assignments |
|
24.01 |
Tom Lyche |
Introduction. Lagrange interpolation, Neville-Aitken scheme, sections 1.1-1.3 |
|
|
28.01 |
Tom Lyche |
Bezier curves, spline curves, sections 1.4-1.7 |
|
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31.01 |
Knut M?rken |
B-splines: basic properties, sections 2.1-2.2 |
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|
04.02 |
Tom Lyche |
Matrix representation, evaluation, sections 2.3-2.4 |
|
|
07.02 |
Knut M?rken |
Linear independence, differentiation, sections 3.1-3.2 |
|
|
11.02 |
Knut M?rken |
Smoothness, integral of a B-spline, the Curry-Schoenberg theorem, sections 3.2.4, 3.3 |
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14.02 |
Knut M?rken |
Piecewise linear interpolation. variation diminishing spline approximation section 5.1,5.2 |
Hand in Assignment 1: 1.3, 1.4, 1.5, 1.7 |
|
18.02 |
Tom Lyche |
Piecewise cubic Hermite interpolation, general spline interpolation, section 5.3, 5.5 |
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21.02 |
|
Winter holiday |
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25.02 |
|
Winter holiday |
|
|
28.02 |
Bart?omiej Siwek |
|
Discuss Assignment 1
Hand in Assignment 2: 2.2, 2.6, 2.11, 2.12, 2.17, 2.19 |
|
04.03 |
Knut M?rken |
Cubic spline interpolation, Least squares with splines, sections 5.4,5.6, |
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07.03 |
Bart?omiej Siwek |
|
Discuss Assignment 2 |
|
11.03 |
Tom Lyche |
Parametric curves, tensor-product spline surfaces, sections 6.1, 6.2, 7.1 |
|
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14.03 |
Tom Lyche |
Tensor-product approximation methods, 3D, surfaces, sections 7.2, 7.4, 7.5 |
Hand in Assignment 3 |
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18.03 |
Knut M?rken |
Quasi-interpolation, sections 8.1-8.5 |
|
|
21.03 |
Bart?omiej Siwek |
|
Discuss Assignment 3 |
|
25.03 |
Knut M?rken |
Quasi-interpolation, sections 8.1-8.5 |
|
|
28.03 |
Tom Lyche |
Approximation theory, sections 9.1-9.2 |
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01.04 |
Tom Lyche |
Stability section 9.3 |
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04.04 |
Tom Lyche |
Knot insertion, Oslo algorithm, sections 4.1-4.2 |
Hand in Assignment 4 (data). |
|
08.04 |
Knut M?rken |
Blossoming, section 4.3 |
|
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11.04 |
Bart?omiej Siwek |
|
Discuss Assignment 4 |
|
15.04 |
Knut M?rken |
Inserting one knot, bounding sign changes,and convergence of control polygon, sections 4.4-4.5, 9.4 |
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18.04 |
|
Easter holiday |
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22.04 |
|
Easter holiday |
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25.04 |
|
Easter holiday |
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29.04 |
Knut M?rken |
Bounding the number of zeros, section 10.1
|
Hand in Assignment 5 |
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02.05 |
|
Lecture cancelled |
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06.05 |
Bart?omiej Siwek |
Discuss Assignment 5 |
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09.05 |
Knut M?rken |
Uniqueness of interpolation, section 10.2; total positivity, section 10.3 |
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13.05 |
Knut M?rken |
Computing zeros of splines |
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