# Computer Aided Geometric Design

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## Important information

 Typology Certificate Methodology Online Duration 6 Weeks
• Certificate
• Online
• Duration:
6 Weeks
Description

Suitable for: 1.Engineering Graduates and Post-Graduates (B.E / B.Tech / M.E. / M. Tech. in Aerospace, Automobile, Mechanical, Computer Science, Industrial Pro-. duction, Chemical, Petro-chemical, Bio-chemical and Bio-medical). 2.Third Year (Sem-II) or Final Year Engineering Students. 3.Final Year B.E Students who are aspiring for higher education abroad. 4.Working Professionals in Design, Manufacturing and Service Industry

Important information

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## Course programme

• Matrix and Vector Algebra
Matrix
Operation on Matrices
Systems of Linear equations
• Vectors
Operation on Vectors
• Transformation
2D Transformations
3D Transformation
Projections
• Dierential Geometry
Implicit and explicit representation
Arc Length
Tangent Vector and Tangent Line Normal Vector and Curvature
Binormal vector and Torsion
• Parametric Polynomial Curve
Ferguson Curves
Hermite Coons
• Bezier Curves
Goals of mathematical curve denition
Introduction to Bezier
Construction and Properties
Moving Control Points
De Casteljau's Algorithm
Derivatives of a Bezier Curve
Subdividing a Bezier Curve
Degree Elevation of a Bezier Curve
Continuity Conditions
Parametric Continuity
Geometric Continuity
• B-Spline Curves
Introduction
Basis Function
Knot Vectors
Control Points
Construction and Properties, Open And Close Curves
Moving Control Points
Modifying Knots
Algorithms: De Boor Algorithm
Knot Insertion
Subdividing a B-Spline Curve
• Surfaces
Basic Concepts of Surfaces
Bezier Surfaces
NURBS Surfaces
• Intersections
Intersection in 2D-Linear Components and Linear Components
Linear Components and Quadratic curves
Linear Components and Polynomial curves
Intersection in 3D-Linear Components and Planar Components
Linear Components and Quadric surfaces
Linear Components and Polynomial Surfaces
• Projections
Projection of a point on Line
Projection of a point on Plane
Projection of a point on Curve
Projection of a curve on surface
Projection of a surface on surface

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