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Experimental Design Approach For Coordinate Transformation

Year 2013, Volume: 5 Issue: 1, 37 - 46, 01.03.2013

Abstract

The coordinate transformation is realized to use together points coordinate which have different datum. 2D similarity, 2D affine and 3D similarity coordinate transformation is often applied in geodesy. The geometrical relationship between two coordinate systems is established by the common points which their coordinates are known in two coordinate system. In this process, the common points coordinates are used as measurements. The coordinate transformation parameters are determined with more measurement than required number according to adjustment calculus. The coordinate transformation is an experimental process which the combining of several factors are evaluated. The experimental design The effect on response variable of different factors can be investigated using experimental design methods. One of these methods is Full Factorial Design. The aim of this study is to analyze the factors effects of 2D coordinate transformation on the response variable using 23 factorial design. The common point number (10-20), transformation method (similarity-affine) and adjustment method (the least square-the least absolute value) are taken as experimental factors in the coordinate transformation between ED50-ITRF96 datums. The result of experiment are evaluated by Minitab16 statistical software to determine the significance of the factors and the levels of factors and the regression equation is obtained between the factors and response variable. Keywords : Coordinate Transformation, Experimental Design, Common Point, Transformation Methods, Adjustment Method.

References

  • URL1, web.ogm.gov.tr/birimler/merkez/kadastro/Projeksiyon.docx, ulaşım 15.12.2012.
  • Aksoy, A., 1999, “Jeodezide Değişimler”, Harita ve Kadastro Mühendisliği Dergisi, 86, 40-60.
  • Celik, R.N., Ayan, T., Deniz, R., Özlüdemir, M.T., 2004, “Geodetic infrastructure of Turkey for GIS, GPS and remote sensing applications”, XX. ISPRS Conference, Commission VI, WG VI/4, Istanbul.
  • Williams, P.H., 2006 “Designing Experiments for the Modern Micro Industries”, www.cepmagazines.org. 58-63.
  • Ponnusami, V., Krithika, V., Madhuram, R., Srivastava, S.N., 2007, “Biosorption of reactive dye using acid-treated rice husk: Factorial design analysis”, Journal of Hazardous Materials, 142, 397– 403.
  • Moreb, A.A., Savsar, M., 2007, “Minimizing Defects in Turfing Process Using Full Factorial Design”, WSEAS Transactions on Business and Economics. 3(4), 54-57.
  • Cestari, A.R., Vieira, E.F.S., Mota, J.A., 2008, “The removal of an ionic red dye from aqueous solutions using chitosan beads-The role of experimental factors on adsorption using a full factorial design”, Journal of Hazardous Materials, 160, 337-343.
  • Jaikumar, V., Ramamurthi, V., 2009, “Statistical analysis and optimization of acid dye biosorption by brewery waste biomass using response surface methodology” Modern Applied Science, 3(4), 71-86.
  • Esme, U., Sagbas, A., Kahraman, F., 2009, “Prediction of Surface Roughness in Wire Electrical Discharge Machining Using Design of Experiments and Neural Networks” Iranian Journal of Science and Technology Transaction B-Engineering, 33(B3) 231-240.
  • Chan, F., Calleja, H., “Design Strategy to Optimize the Reliability of Grid-Conneted PV Systems” IEEE Transactions on Industrial Electronics 56(11), 4465-4472.
  • Kavak, D., 2009, “Removal of boron from aqueous solutions by batch adsorption on calcined alunite using experimental design” Journal of Hazardous Materials, 163, 3008-3014.
  • Coruh, S., Elevli, S., Senel, G., Ergun, O.N., 2011, “Adsorption of Silver from Aqueous Solution onto Fly Ash and Phosphogypsum Using Full Factorial Design” Environmental Progress & Sustainable Energy., 30(4), 609-619.
  • Mesci, B., Elevli S., 2012, “Recycling Of Chromite Waste for Concrete: Full Factorial Design Approach” International Journal of Environmental Research. 6(1), 145-150.
  • Carolina, T., 2005, “Evaluating Geographic Visualization Tools and Methods: An Approach and Experiment Based upon User Tasks”, Dykes J.; MacEachren A.M.; Kraak M.J. (Eds.) Exploring Geovisualization. 645-666.
  • Carvajal, F., Aguera, F., Aguilar, F.J., Aguilar, M.A., 2010, “Relationship between atmospheric corrections and training-site strategy with respect to accuracy of greenhouse detection process from very high resolution imagery” International Journal of Remote Sensing, 31(11), 2977–2994.
  • Liptak, M., Sokol, S., 2011, “Reducing The Impact of a Vertical Refraction by a Two-Regime Model” Slovak Journal of Civil Engineering. XIX(2), 21-26.
  • George, M.L., Rowlands, D., Price, M., Maxey, J., 2005, Lean Six Sigma Pocket Toolbook. McGraw-Hill, New York.
  • Navidi, W., 2008, Statistics for Engineers and Scientist. McGraw-Hill Companies Inc., NewYork.
  • Montgomery, D.C., Runger, G.C., Hubele, N.F., 2001, Engineering Statistics. John Wiley &Sons, Inc., New York.
  • Turgut, B., İnal, C., 2003, “Nokta Konum Duyarlıklarının İki ve Üç Boyutlu Koordinat Dönüşümüne Etkisi”, TUJK Bilimsel Toplantısı , http://www.harita.selcuk.edu.tr/ arsiv/calistay2003/default.htm.
  • Ghilani, D.C., Wolf, R.P., 2006, Adjustment Computations Spatial Data Analysis., John Wiley and Sons Inc., New Jersey.
  • Haberler, M., H. Kahmen, 2003, “Detection of landslide block boundaries by means of an affine coordinate transformation”, Proceedings, 11th Fig Symposium on Deformation Measurements, Santorini, Greece.
  • Kwon, J.H., Bae, T.,, Choi, Y, Lee,D., Lee, Y., 2005. “Geodetic datum transformation to the global geocentric datum for seas and islands around Korea” Journal of Geoseinces, 9(4), 353-361.
  • Wang, Y., 1992, “A rigorous photogrammetric adjustment algorithm based on co-angularity condition” International Archives of Photogrammetry and Remote Sensing, 29(B5), 195-202.
  • Vanicek, P., Wells D.E., 1972, The Least Squares Approximation. Department of Geodesy and Geomatics Engineering University of New Brunswick, Canada.
  • Bektas S., Sisman Y., 2010, “The comparison of L1 and L2-norm minimization methods” International Journal of the Physical Sciences, 5(11), 1721 – 1727.
  • Ismail, A.A., El-Midany, A.A., Ibrahim, I.A., Matsunaga, H., 2008, “Heavy metal removal using SiO2-TiO2 binary oxide: experimental design approach” Adsorption. 14, 21-29.
  • Gygi C., Decarlo N., Williams B., 2005, Six sigma for dummies. Wiley Publishing Inc., Indiana.

Koordinat Dönüşümünde Deney Tasarımı Yaklaşımı

Year 2013, Volume: 5 Issue: 1, 37 - 46, 01.03.2013

Abstract

Farklı datumlarda koordinatı belirlenmiş noktaların bir arada kullanılabilmesi için koordinat dönüşümü yapılır. 2boyutlu Benzerlik ve Afin ile 3 boyutlu Benzerlik dönüşümleri jeodezik uygulamalarda çok sıklıkla kullanılır. Koordinat dönüşümü işleminde her iki koordinat sisteminde de koordinatı bilinen ortak noktalar kullanılarak iki koordinat sistemi arasındaki geometrik ilişki kurulur. Ortak nokta koordinatları, koordinat dönüşüm parametrelerinin belirlenmesi sürecinde ölçü olarak kullanılır. Gereğinden fazla sayıda ortak nokta kullanılarak, koordinat dönüşüm parametreleri dengeleme hesabı ile elde edilir. Koordinat dönüşümü işlemi birkaç faktörün bir arada değerlendirilmesiyle oluşan deneysel bir süreçtir. Farklı parametrelerin sonuç değişkeni üzerindeki etkileri deneysel tasarım yöntemleri ile irdelenebilir, bu yöntemlerden birisi Full Faktöriyel Dizayndır. Bu çalışmanın amacı 23 faktöriyel tasarım kullanarak deneysel faktörlerinin koordinat dönüşümündeki etkilerini analiz etmektir. ED50-ITRF96 datumları arasındaki dönüşümde, deneysel faktörler olarak; ortak nokta sayısı (10-20) dönüşüm yöntemi (benzerlik-afin) ve dengeleme yöntemi (En Küçük Mutlak Toplam ve En Küçük Kareler) belirlenmiştir. Deneysel faktörlerin ve seviyelerinin öneminin belirlenmesi için deney sonuçları Minitab16 istatistiksel yazılımıyla değerlendirilmiş ve bir regresyon modeli önerilmiştir. Anahtar Kelimeler: Koordinat dönüşümü, Deney tasarımı, Ortak Nokta, Dönüşüm Yöntemi, Dengeleme Yöntemi.

References

  • URL1, web.ogm.gov.tr/birimler/merkez/kadastro/Projeksiyon.docx, ulaşım 15.12.2012.
  • Aksoy, A., 1999, “Jeodezide Değişimler”, Harita ve Kadastro Mühendisliği Dergisi, 86, 40-60.
  • Celik, R.N., Ayan, T., Deniz, R., Özlüdemir, M.T., 2004, “Geodetic infrastructure of Turkey for GIS, GPS and remote sensing applications”, XX. ISPRS Conference, Commission VI, WG VI/4, Istanbul.
  • Williams, P.H., 2006 “Designing Experiments for the Modern Micro Industries”, www.cepmagazines.org. 58-63.
  • Ponnusami, V., Krithika, V., Madhuram, R., Srivastava, S.N., 2007, “Biosorption of reactive dye using acid-treated rice husk: Factorial design analysis”, Journal of Hazardous Materials, 142, 397– 403.
  • Moreb, A.A., Savsar, M., 2007, “Minimizing Defects in Turfing Process Using Full Factorial Design”, WSEAS Transactions on Business and Economics. 3(4), 54-57.
  • Cestari, A.R., Vieira, E.F.S., Mota, J.A., 2008, “The removal of an ionic red dye from aqueous solutions using chitosan beads-The role of experimental factors on adsorption using a full factorial design”, Journal of Hazardous Materials, 160, 337-343.
  • Jaikumar, V., Ramamurthi, V., 2009, “Statistical analysis and optimization of acid dye biosorption by brewery waste biomass using response surface methodology” Modern Applied Science, 3(4), 71-86.
  • Esme, U., Sagbas, A., Kahraman, F., 2009, “Prediction of Surface Roughness in Wire Electrical Discharge Machining Using Design of Experiments and Neural Networks” Iranian Journal of Science and Technology Transaction B-Engineering, 33(B3) 231-240.
  • Chan, F., Calleja, H., “Design Strategy to Optimize the Reliability of Grid-Conneted PV Systems” IEEE Transactions on Industrial Electronics 56(11), 4465-4472.
  • Kavak, D., 2009, “Removal of boron from aqueous solutions by batch adsorption on calcined alunite using experimental design” Journal of Hazardous Materials, 163, 3008-3014.
  • Coruh, S., Elevli, S., Senel, G., Ergun, O.N., 2011, “Adsorption of Silver from Aqueous Solution onto Fly Ash and Phosphogypsum Using Full Factorial Design” Environmental Progress & Sustainable Energy., 30(4), 609-619.
  • Mesci, B., Elevli S., 2012, “Recycling Of Chromite Waste for Concrete: Full Factorial Design Approach” International Journal of Environmental Research. 6(1), 145-150.
  • Carolina, T., 2005, “Evaluating Geographic Visualization Tools and Methods: An Approach and Experiment Based upon User Tasks”, Dykes J.; MacEachren A.M.; Kraak M.J. (Eds.) Exploring Geovisualization. 645-666.
  • Carvajal, F., Aguera, F., Aguilar, F.J., Aguilar, M.A., 2010, “Relationship between atmospheric corrections and training-site strategy with respect to accuracy of greenhouse detection process from very high resolution imagery” International Journal of Remote Sensing, 31(11), 2977–2994.
  • Liptak, M., Sokol, S., 2011, “Reducing The Impact of a Vertical Refraction by a Two-Regime Model” Slovak Journal of Civil Engineering. XIX(2), 21-26.
  • George, M.L., Rowlands, D., Price, M., Maxey, J., 2005, Lean Six Sigma Pocket Toolbook. McGraw-Hill, New York.
  • Navidi, W., 2008, Statistics for Engineers and Scientist. McGraw-Hill Companies Inc., NewYork.
  • Montgomery, D.C., Runger, G.C., Hubele, N.F., 2001, Engineering Statistics. John Wiley &Sons, Inc., New York.
  • Turgut, B., İnal, C., 2003, “Nokta Konum Duyarlıklarının İki ve Üç Boyutlu Koordinat Dönüşümüne Etkisi”, TUJK Bilimsel Toplantısı , http://www.harita.selcuk.edu.tr/ arsiv/calistay2003/default.htm.
  • Ghilani, D.C., Wolf, R.P., 2006, Adjustment Computations Spatial Data Analysis., John Wiley and Sons Inc., New Jersey.
  • Haberler, M., H. Kahmen, 2003, “Detection of landslide block boundaries by means of an affine coordinate transformation”, Proceedings, 11th Fig Symposium on Deformation Measurements, Santorini, Greece.
  • Kwon, J.H., Bae, T.,, Choi, Y, Lee,D., Lee, Y., 2005. “Geodetic datum transformation to the global geocentric datum for seas and islands around Korea” Journal of Geoseinces, 9(4), 353-361.
  • Wang, Y., 1992, “A rigorous photogrammetric adjustment algorithm based on co-angularity condition” International Archives of Photogrammetry and Remote Sensing, 29(B5), 195-202.
  • Vanicek, P., Wells D.E., 1972, The Least Squares Approximation. Department of Geodesy and Geomatics Engineering University of New Brunswick, Canada.
  • Bektas S., Sisman Y., 2010, “The comparison of L1 and L2-norm minimization methods” International Journal of the Physical Sciences, 5(11), 1721 – 1727.
  • Ismail, A.A., El-Midany, A.A., Ibrahim, I.A., Matsunaga, H., 2008, “Heavy metal removal using SiO2-TiO2 binary oxide: experimental design approach” Adsorption. 14, 21-29.
  • Gygi C., Decarlo N., Williams B., 2005, Six sigma for dummies. Wiley Publishing Inc., Indiana.
There are 28 citations in total.

Details

Primary Language Turkish
Journal Section Articles
Authors

Yasemin Şişman This is me

Aziz Şişman This is me

Sebahattin Bektaş This is me

Publication Date March 1, 2013
Published in Issue Year 2013 Volume: 5 Issue: 1

Cite

APA Şişman, Y., Şişman, A., & Bektaş, S. (2013). Koordinat Dönüşümünde Deney Tasarımı Yaklaşımı. Harita Teknolojileri Elektronik Dergisi, 5(1), 37-46.
AMA Şişman Y, Şişman A, Bektaş S. Koordinat Dönüşümünde Deney Tasarımı Yaklaşımı. Harita Teknolojileri Elektronik Dergisi. March 2013;5(1):37-46.
Chicago Şişman, Yasemin, Aziz Şişman, and Sebahattin Bektaş. “Koordinat Dönüşümünde Deney Tasarımı Yaklaşımı”. Harita Teknolojileri Elektronik Dergisi 5, no. 1 (March 2013): 37-46.
EndNote Şişman Y, Şişman A, Bektaş S (March 1, 2013) Koordinat Dönüşümünde Deney Tasarımı Yaklaşımı. Harita Teknolojileri Elektronik Dergisi 5 1 37–46.
IEEE Y. Şişman, A. Şişman, and S. Bektaş, “Koordinat Dönüşümünde Deney Tasarımı Yaklaşımı”, Harita Teknolojileri Elektronik Dergisi, vol. 5, no. 1, pp. 37–46, 2013.
ISNAD Şişman, Yasemin et al. “Koordinat Dönüşümünde Deney Tasarımı Yaklaşımı”. Harita Teknolojileri Elektronik Dergisi 5/1 (March 2013), 37-46.
JAMA Şişman Y, Şişman A, Bektaş S. Koordinat Dönüşümünde Deney Tasarımı Yaklaşımı. Harita Teknolojileri Elektronik Dergisi. 2013;5:37–46.
MLA Şişman, Yasemin et al. “Koordinat Dönüşümünde Deney Tasarımı Yaklaşımı”. Harita Teknolojileri Elektronik Dergisi, vol. 5, no. 1, 2013, pp. 37-46.
Vancouver Şişman Y, Şişman A, Bektaş S. Koordinat Dönüşümünde Deney Tasarımı Yaklaşımı. Harita Teknolojileri Elektronik Dergisi. 2013;5(1):37-46.