Interpolation and Approximation Methods for Visual Computing Algorithms

Winter Term 2023/24

Seminar: Interpolation and Approximation Methods for Visual Computing Algorithms

Michael Ertel, Prof. Joachim Weickert

Winter Term 2023/24

Seminar (2 h)

Interpolation with cubic splines. (Authors: G. Wolberg, I. Alfy)


Important DatesDescriptionRegistrationRequirements Overview of Topics

Introductory meeting (mandatory):
The introductory meeting will take place via Zoom on Wednesday, November 8, 2023. Once you are registered for the seminar we will send you the password for the Zoom channel and for downloading the materials.
Attendance is mandatory for all participants. Do not forget to register first (see below).

Regular meetings online during the winter term 2023/24:
The meetings will be via Zoom on Wednesdays 16-18.

LSF registration deadline:
The deadline for the registration is November 11, 2023.

Write-up submission deadline:
The write-up has to be handed in after the lecture period ends. The deadline will be announced in the following weeks.

Contents: Interpolation has been introduced to determine a continuously-defined function from given discrete data, often the function is constructed in such a way that the function agrees perfectly at the given measurement points. However, the given data is not always reliable and approximating the perturbed data with a smooth function instead can be beneficial. The function can then be used to approximate for example the derivative in a certain point.
In the meantime the application field has expanded to surface reconstruction, kernel learning, estimation of image structures and numerical solution of partial differential equations to solve, to name a few. In this seminar, we firstly cover basic concepts and move on to forefront research in the field.

Prerequisites: The seminar is for advanced bachelor or master students in Visual Computing, Mathematics, or Computer Science. Basic mathematical knowledge (e.g. Mathematik für Informatiker I-III) and some knowledge in image processing and computer vision is required.

Language: All papers are written in English, and English is the language of presentation.

The registration period was

from September 22, 2023
until October 24, 2023

Regular attendance: You must attend all virtual seminar meetings. If you are sick, please send a medical certificate via mail to Michael Ertel. If you have technical difficulties, let us know as soon as possible.

Talk: Talk duration is 30 min, plus 15 min for discussion. Please do not deviate from this time schedule. It will be performed in a virtual setting. Your presentation must be delivered in English. Your slides and your write-up, too, have to be in English.

Write-up: The write-up has to be handed in after the lecture period ends. The deadline is the 06.03.2024. The write-up should summarise your talk and has to consist of 5 pages per speaker. Submit your write-up in pdf format via mail to Michael Ertel and Joachim Weickert.

Plagiarism: Adhere to the standards of scientific referencing and avoid plagiarism: Quotations and copied material (such as images) must be clearly marked as such, and a bibliography is required. Otherwise the seminar counts as failed.

Mandatory consultation: Talk preparation has to be presented to your seminar supervisor no later than one week before the talk is given. It is your responsibility to approach us timely and make your appointment for a video call.

No-shows: No-shows are unfair to your fellow students: Some talks are based on previous talks, and your seminar place might have prevented the participation of another student. Thus, in case you do not appear to your scheduled talk (except for reasons beyond your control), we reserve the right to exclude you from future seminars of our group.

Participation in discussions: The discussions after the presentations are a vital part of this seminar. This means that the audience (i.e. all paricipants) poses questions and tries to find positive and negative aspects of the proposed idea.

Being on time: All participants have to be in the seminar meeting on time. Participants that turn out to be regularly late must expect a negative influence on their grade.

We will discuss the following research papers.

No.   Date   Speaker Advisor Topic
1 10.1. Beste Ekmen
Weickert R. van den Boomgaard:
Numerical Solution Schemes for Continuous-Scale Morphology
2 10.1. Justus Störk
Ertel H. S. Hou, H. C. Andrews:
Cubic Splines for Image Interpolation and Filtering
3 17.1. Xiaojie Zhang
Ertel J. van de Weijer, R. van den Boomgaard:
Least squares and robust estimation of local image structure
4 17.1. Julia Gierke
Ertel M. Fenn, G. Steidl:
Robust Local Approximation of Scattered Data

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