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Surface Fitting and Representation By Using 2D Least Squares Method in CAD Applications | ||
| Engineering and Technology Journal | ||
| Article 1, Volume 29, Issue 7, 2011, Pages 1425-1437 PDF (762.98 K) | ||
| DOI: 10.30684/ etj.29.7.15 | ||
| Authors | ||
| Tahseen F. Abbas; Omar A. Raheem; Abdulwahab N. Abbas | ||
| Abstract | ||
| This paper presents a general method for automatic surface fitting from scattered range data and describes the implementation of three methods for fitting surfaces: linear, quadratic and cubic. It uses a modified 2D least squares method to fitting, reconstructing and modeling several surfaces and statistical criteria to compare the three approaches. The comparison is performed using a mathematically defined data as real data obtained from the proposed models. The method can be used in a variety of applications such as reverse engineering, automatic generating of a CAD model, etc, and it has proven to be effective as demonstrated by a number of examples using real data from mathematical functions ( sine, cosine, exponential and cubic). By applying the proposed surface fitting model the standard deviation was found to be (0.04-0.26), (0.02- 0.07) and (0.0-0.12) mm for linear, quadratic and cubic fitting models respectively. | ||
| Keywords | ||
| Surface Representation; Surface Fitting; Computer graphics; Data Analysis; Least Square Fitting | ||
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