ABDULLAH ERHAN AKKAYA, Muhammed Fatih TALI

NESNE MODELLEME: VIDEO İMGELERI KULLANILARAK F-MATRISININ HESAPLANMASI

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.

Anahtar Kelimeler:

Temel matris, Epipolar geometri, Hartley normalizasyonu, Sampson uzaklığı

OBJECT MODELLING: CALCULATION OF F-MATRIX USING VIDEO IMAGES

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,

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