OBJECT MODELLING: CALCULATION OF F-MATRIX USING VIDEO IMAGES

Year 2014, Volume: 16 Issue: 48, 9 - 20, 01.09.2014

Abdullah Erhan Akkaya , Muhammed Fatih Talu

Abstract

Epipolar geometry, describes the geometric relationship between pairs of images that
belongs to an object or a scene taken from two different angles. To reveal the geometric
relationship, capturing of similar points in the two images, matching these points and
calculating fundamental matrix (F-matrix) that represents the epipolar geometry are required.
Calculation of the fundamental matrix has vital importance for the next stages like 3D
modelling, motion segmentation, stereo vision, camera calibration. In this study, effective Fmatrix
calculation methods of different concepts were examined on six image pairs and
comparisons were made according to the algorithms’ time and accuracy criteria. The obtained
numerical results are presented in tables.

Keywords

Fundamental matrix, Epipolar geometry, Hartley normalization, Sampson distance

NESNE MODELLEME: VIDEO İMGELERI KULLANILARAK F-MATRISININ HESAPLANMASI

Abstract

Epipolar geometri, bir nesneye veya sahneye ait farklı iki açıdan çekilmiş görüntü çiftleri
arasındaki geometrik ilişkiyi tanımlamaktadır. Geometrik ilişkiyi ortaya çıkarabilmek için iki
görüntüdeki benzer noktaların yakalanması, eşleştirilmesi ve epipolar geometriyi temsil eden
temel matrisin (F–fundamental matrix) hesaplanması gerekmektedir. Temel matrisin
hesaplanması, 3D modelleme, hareket segmentasyonu, stereo görme, kamera kalibrasyonu gibi
sonraki aşamalar için hayati derecede önem arz etmektedir. Bu çalışmada, farklı konseptlerdeki
etkin F-matrisi hesaplama yöntemleri altı görüntü çifti üzerinde incelenmiş, algoritmaların
zaman ve doğruluk kıstaslarına göre karşılaştırmaları yapılmıştır. Elde edilen sayısal sonuçlar
tablolar halinde sunulmuştur.

Keywords

Temel matris, Epipolar geometri, Hartley normalizasyonu, Sampson uzaklığı

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