Year 2018, Volume 2, Issue 2, Pages 120 - 127 2018-11-10

Cuckoo Search Algorithm for Optimal Choice of Free Knots in B-spline Data Fitting
B-Spline Eğri Uydurmada Optimum Serbest Düğüm Noktalarının Seçilmesi için Guguk Kuşu Arama Algoritması

İsmail Koç [1] , Özkan İnik [2]

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Fitting data points to curves commonly known as curve reconstruction a significant problem in computer aided design/manufacturing (CAD/CAM). This problem is frequently encountered in the field of reverse engineering where a free-form parametric curve (typically a B-spline) with a set of (usually a high-dimensional and noisy) data points, obtained by 3D laser scanning, has to be fitted. Although there are a number of methods to come up with this problem, until now there has not been a satisfactory general solution to the problem. In this study, the cuckoo search algorithm (CS), one of the optimization methods inspired by a bird species named cuckoo that leave their eggs in the nest of other host birds, is used to solve the problem of curve fitting. Reverse engineering is used to obtain the curve from the data points. In addition, the knot positions and number of knot are free variables of the problem in the estimation of the curve, and these parameters are randomly selected in the search space by the CS method. In this way, the curve estimate with the smallest error rate is aimed to obtain in this study. Five different functions frequently used in the literature for curve fitting are preferred in the experimental studies. In the experimental results, the original curve and the predicted curve for each function are presented comparatively, and the results obtained show that for most functions, the curves predicted by the CS method produce very similar results to the original curve.

Genellikle eğriyi yeniden oluşturmak olarak bilinen eğrilere veri noktaları uydurma, bilgisayar destekli tasarım / imalat alanında (CAD / CAM) önemli bir problemdir. 3D lazer tarama ile elde edilen genellikle yüksek boyutlu ve gürültülü bir diziden oluşan veri noktalarının serbest forma sahip bir parametrik eğriye (tipik olarak bir B-spline) uydurulması gereken tersine mühendislik alanında bu problemle sıklıkla karşılaşılmaktadır. Bu problemin üstesinden gelebilmek için çok sayıda yöntem mevcut olmasına rağmen, şu ana kadar problemin tatmin edici genel bir çözümü elde edilebilmiş değildir. Bu çalışmada, eğri uydurma problemini çözmek için, doğadaki diğer evcil kuşların yuvalarına yumurtalarını bırakan guguk kuşlarından esinlenilerek geliştirilmiş optimizasyon yöntemlerinden biri olan Guguk kuşu arama algoritması (CS) kullanılmıştır. Veri noktalarından eğri elde etmek için ise tersine mühendislik kullanılmıştır. Ayrıca, düğüm yerleri ve düğüm sayısı eğri tahmininde serbest bırakılmış olup, CS yöntemi ile bu parametreler arama uzayında rastgele seçilmiştir. Bu şekilde en küçük hata oranına sahip eğri tahmininin elde edilmesi amaçlanmıştır. Deneysel çalışmalarda eğri uydurma için, literatürde sıklıkla kullanılan beş farklı fonksiyon tercih edilmiştir. Deneysel sonuçlarda, her bir fonksiyon için orijinal eğri ve tahmin edilen eğri karşılaştırmalı olarak sunulmuş olup, elde edilen sonuçlar çoğu fonksiyon için CS yöntemi ile tahmin edilen eğrilerin orijinal eğrilere çok benzer sonuçlar ürettiğini göstermiştir.

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Primary Language tr
Subjects Computer Science, Information System
Journal Section Research Articles
Authors

Author: İsmail Koç
Institution: SELÇUK ÜNİVERSİTESİ, TEKNOLOJİ FAKÜLTESİ, BİLGİSAYAR MÜHENDİSLİĞİ BÖLÜMÜ
Country: Turkey


Author: Özkan İnik (Primary Author)
Institution: GAZİOSMANPAŞA ÜNİVERSİTESİ, MÜHENDİSLİK VE DOĞA BİLİMLERİ FAKÜLTESİ, BİLGİSAYAR MÜHENDİSLİĞİ BÖLÜMÜ
Country: Turkey


Bibtex @conference paper { bilgesci375269, journal = {Bilge International Journal of Science and Technology Research}, issn = {2651-401X}, eissn = {2651-4028}, address = {Kutbilge Akademisyenler Derneği}, year = {2018}, volume = {2}, pages = {120 - 127}, doi = {10.30516/bilgesci.375269}, title = {B-Spline Eğri Uydurmada Optimum Serbest Düğüm Noktalarının Seçilmesi için Guguk Kuşu Arama Algoritması}, key = {cite}, author = {Koç, İsmail and İnik, Özkan} }
APA Koç, İ , İnik, Ö . (2018). B-Spline Eğri Uydurmada Optimum Serbest Düğüm Noktalarının Seçilmesi için Guguk Kuşu Arama Algoritması. Bilge International Journal of Science and Technology Research, 2 (2), 120-127. DOI: 10.30516/bilgesci.375269
MLA Koç, İ , İnik, Ö . "B-Spline Eğri Uydurmada Optimum Serbest Düğüm Noktalarının Seçilmesi için Guguk Kuşu Arama Algoritması". Bilge International Journal of Science and Technology Research 2 (2018): 120-127 <http://dergipark.gov.tr/bilgesci/issue/40293/375269>
Chicago Koç, İ , İnik, Ö . "B-Spline Eğri Uydurmada Optimum Serbest Düğüm Noktalarının Seçilmesi için Guguk Kuşu Arama Algoritması". Bilge International Journal of Science and Technology Research 2 (2018): 120-127
RIS TY - JOUR T1 - B-Spline Eğri Uydurmada Optimum Serbest Düğüm Noktalarının Seçilmesi için Guguk Kuşu Arama Algoritması AU - İsmail Koç , Özkan İnik Y1 - 2018 PY - 2018 N1 - doi: 10.30516/bilgesci.375269 DO - 10.30516/bilgesci.375269 T2 - Bilge International Journal of Science and Technology Research JF - Journal JO - JOR SP - 120 EP - 127 VL - 2 IS - 2 SN - 2651-401X-2651-4028 M3 - doi: 10.30516/bilgesci.375269 UR - https://doi.org/10.30516/bilgesci.375269 Y2 - 2018 ER -
EndNote %0 Bilge International Journal of Science and Technology Research B-Spline Eğri Uydurmada Optimum Serbest Düğüm Noktalarının Seçilmesi için Guguk Kuşu Arama Algoritması %A İsmail Koç , Özkan İnik %T B-Spline Eğri Uydurmada Optimum Serbest Düğüm Noktalarının Seçilmesi için Guguk Kuşu Arama Algoritması %D 2018 %J Bilge International Journal of Science and Technology Research %P 2651-401X-2651-4028 %V 2 %N 2 %R doi: 10.30516/bilgesci.375269 %U 10.30516/bilgesci.375269
ISNAD Koç, İsmail , İnik, Özkan . "B-Spline Eğri Uydurmada Optimum Serbest Düğüm Noktalarının Seçilmesi için Guguk Kuşu Arama Algoritması". Bilge International Journal of Science and Technology Research 2 / 2 (November 2018): 120-127. https://doi.org/10.30516/bilgesci.375269