Computer aided evaluation of selected examination tasks in mathematics using generalized Hough transform
Data
2015
Tytuł czasopisma
ISSN czasopisma
Tytuł tomu
Wydawca
Wydawnictwo Politechniki Łódzkiej
Lodz University of Technology Press
Lodz University of Technology Press
Abstrakt
In this chapter an image processing algorithm for automatic evaluation of
scanned examination sheets is described. The discussed image contains selected
geometric figures drawn by hand on a printed coordinate system. This
type of task is characteristic of final high school exams of natural sciences.
Our challenge was to develop an evaluation algorithm, which works with
a precision comparable to the teacher. If the image contains the correct solution,
the algorithm should husk it from a set of random lines, deletions,
amendments, drafts, bearing in mind, that lines were drawn by hand. In addition,
the algorithm should calculate scores for partially correct solutions.
An essential part of our proposal is based on Hough transform (for recognizing
lines) and generalized Hough transform (for recognizing non linear
shapes). The proposed solution is flexible and can be extended to other types
of tasks such as drawing geometrical figures.[...]
Opis
Słowa kluczowe
wspomagana komputerowo ocena egzaminów, algorytm oceny, transformacja Hougha, uogólniona transformacja Hougha, computer aided evaluation of exams, evaluation algorithm, Hough transform, generalized Hough transform
Cytowanie
Stoliński S., Bieniecki W., Computer aided evaluation of selected examination tasks in mathematics using generalized Hough transform. W: Modelling and Identification Algorithms for Emerging Applications in Data and Signal Processing, Romanowski A. (red.), Sankowski D. (red.), Tadeusiewicz R. (red.), Wydawnictwo Politechniki Łódzkiej, Łódź 2015, s. 233-247, ISBN 978-83-7283-657-1.