Beskjeder
I have adjusted the curriculum so that numbers refer to the latest version of the compendium, and so that it reflects the topics that we have discussed in the lectures
There will be a final lecture with exam preparations wednesday 30th of May at 1015-1200 in the usual place (room 123). Please send me an email if you wish to attend and did not receive an email about this.
Show equation (8.11) and (8.12) in the compendium. Do problem 8.1
Show that the products of B-splines that forms a bivariate spline tensor product space
- forms a partition of unity
- are linearly independent, provided the B-splines in each space are linearly independent.
We will have a tutorial tuesday 24th of april 1015-12, in which you (the students) will present your solution to problems of oblig 3:
Problem 3.2 (B?lvigen)
Problem 4.5 (Lohne)
Problem 4.6 (Monsen Haug)
Problem 4.7 (Teatini)
If you have not been assigned a problem and wish to attend, please send an email. Martin
I have posted an updated version of the compendium - the changes are mainly corrected references. The old version can still be found at the "Pensumliste" pages
I will give a tutorial on next tuesday 1015-1200, in which I will go through selected problems from oblig 2, this weeks optional problem (Cubic Hermite Spline Interpolation) and take questions regarding oblig 3. Send me an email if there are specific problems or questions that you would like me to address.
Show that the Cubic Hermite Spline Interpolant defined in Proposition 5.5 satisfies the interpolation conditions in equation (5.6)
Oblig 3 is posted - the deadline is april 4th, but I encourage you to do it as soon as possible / before easter. Please let me know if you have any questions, or if you need a hint ;) Good luck!
There was a mistake in problem 4 and 5 in oblig 2: problems 2.18 and 2.19 in the compendium was interchanged. This has been corrected in the new version of the oblig
Show that for any a<b,
B[a,...,a,b](x) = (b-x)^d / (b-a)^d B[a,b](x)
and
B[a,b,...,b](x) = (x-a)^d / (b-a)^d B[a,b](x),
where a and b are repeated d+1 times respectively. Use this to show that
B[a,b,...,b,c](x) = (x-a)^d / (b-a)^d B[a,b](x) + (c-x)^d / (c-b)^d B[b,c](x)
where b is repeated d times, and show that this function is continuous for all x.
Oblig 2 is posted - the deadline is march 5th. Please let me know if you have any questions, or if you need a hint :) You will reuse your code later in the course, so make it tidy and reusable.
Good luck!
In the lecture tomorrow I will spend a few minutes going through two problems from the oblig: implementation of Bezier curves and induction proofs. See you tomorrow.
Do problems 2.6 and 2.7 in the compendium
Do problems 1.2 c, 1.4 and 1.5 in the compendium
Oblig 1 is posted - the deadline is february 8th. Please let me know if you have any questions
Martin
For those of you who wants problems to work on; do problem 1.1 and 1.2 a-b in the compendium.
The lecture notes from the first lecture is now posted here.
We will be using a revised version of the compendium.
Welcome to the first lecture, which takes place Wednesday January 17th 1015-1200 in room 123 in Vilhelm Bjerknes' hus.
Martin