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NURBS Based Geometric Inverse Reconstruction Of Free Form Shapes

المصدر: مجلة جامعة الملك سعود - علوم الحاسب والمعلومات
الناشر: جامعة الملك سعود
المؤلف الرئيسي: Saini, Deepika (Author)
مؤلفين آخرين: Kumar, Sanjeev (Co-Author) , Gulati, Tilak Raj (Co-Author)
المجلد/العدد: مج29, ع1
محكمة: نعم
الدولة: السعودية
التاريخ الميلادي: 2017
الصفحات: 116 - 133
DOI: 10.33948/0584-029-001-011
ISSN: 1319-1578
رقم MD: 974065
نوع المحتوى: بحوث ومقالات
اللغة: الإنجليزية
قواعد المعلومات: science
مواضيع:
الرسومات الحاسوبية | التقنية ثلاثية الأبعاد | التصميم الهندسي | الهندسة المعمارية
كلمات المؤلف المفتاحية:
3D Reconstruction | Free Form Shapes | Non Uniform Rational B-Spline (NURBS) | Perspective Projection | Quadratic Programing Problem (QPP)
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المستخلص: In this study, a geometric inverse algorithm is proposed for reconstructing free-form shapes (curves and surfaces) in space from their arbitrary perspective images using a Non- Uniform Rational B-Spline (NURBS) model. In particular, NURBS model is used to recover information about the required shape in space. An optimization problem is formulated to fit the NURBS to the digitized data in the images. Control points and weights are treated as the decision variables in the optimization process. The 3D shape reconstruction problem is reduced to a problem that comprises stereo reconstruction of control points and computation of the corresponding weights. The correspondence between the control points in the two images is obtained using a third image. The performance of the proposed algorithm was validated by taking several examples based on the synthetic and real images. Comparisons were made with a point-based method in terms of various types of errors.
ISSN: 1319-1578

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