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Introduction to Subdivision Scheme (MPhil-Mathematics, MATH-7123)
Week 2: Subdivision Schemes, Properties of Subdivision scheme
Week 2: Subdivision Schemes, Properties of Subdivision scheme
Subdivision Schemes, Properties of Subdivision scheme
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Course Material
Week 1: Bernstein polynomial, degree elevation, constructing polynomial patches: Ruled surfaces
Week 2: Subdivision Schemes, Properties of Subdivision scheme
Week 3: Types of Subdivision scheme
Week 4: Analysis of Subdivision
Week 5: Smoothness analysis of Binary Subdivision scheme
Week 6: Smoothness analysis of Ternary Subdivision scheme
Week 7: Smoothness analysis of Quaternary Subdivision scheme
Week 8: Tensor product of Subdivision scheme
Week 09: Mid Terms
Week 10: Rational Bezier & B-spline surfaces, surface of revolution
Week 11: COONS & trimmed surface
Week 12: Lofted Surfaces
Week 13: Bezier Triangles: The de Casteljau algorithm, triangular blossoms
Week 14: Bernstein polynomial, derivatives, subdivision, differentiability
Week 15: Recursive subdivision curve
Week 16: Translational surfaces, tensor product interpolation, bicubic Hermite patches
Week 17: Composite Surfaces, Rational Bezier & B-spline surfaces, surface of revolution
Week 18: Final Exam
Chapters
18
Department
Mathematics
Teacher
Dr. Muhammad Faheem Khan