JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Prerequisites

CAD/CAM

Course Objectives:

• Learn modeling curves (B-splines and Bezier)
• Learn modeling Bezier and B-spline surfaces
• Familiarity with NURBS
• Familiarity with advanced techniques such as subdivision and reconstruction
• Mastery of object construction and manipulation methods including lofting, surface of revolution, and tubularization.
• Mastery of Reconstruction from PCD and Mesh generation

Course Outcomes

After doing this course, the student should be able to do

• 2D & 3D transformations
• Develop cubic splines, Bezer curves and B-spline curves
• Write equations of surfaces, quadratic surfaces and analyze mathematically

UNIT - I

Geometrical Modeling: Introduction, History, Geometrical representation, Linear Algebra Boolean Algebra, Vectors, Matrices, Equations for curves- Intrinsic and Explicit ,parametric equations of curves, conic curves and points on curves, Problems

UNIT - II

Transformations: 2-D and 3D Transformations, translation, Rotation, Homogeneous space, Scaling, stretching, Mirror reflection, Composite Transformations and problems

UNIT - III

Cubic Splines: Algebraic and geometric force of cubic spline, parametric space of a curve, blending functions, Problems Bezier Curves: Berustein’s polynomials, equations, control points, convex hull property, truncating and subdividing composite and Rational Bezier curves, Problems B-Spline Curves: Uniform and non-uniform B-Spline basis functions, quadratic and cubic B-spline basis functions, NURBS, Problems

UNIT - IV

Surfaces: Explicit and Implicit equations of surfaces, quadratic surfaces, parametric equation of surfaces, Curve Nets and Embedded Curves, Generation, Mathematical Analysis, Applications of Bezier and B-Spline Surfaces, Surface patches. Problems

UNIT - V

• 1. Solids: Parametric and Tricubicsolids, sweep solids, Topology of models, graph and boolean based models. Constructive solid Geometry (CSG), B-rep models. Problems; Feature modeling, rendering, lighting, animation.

TEXT BOOKS:

• 1. Geometric Modeling by Micheal E. Mortenson, Third Edition, McGraw Hill Publishers
• 2. CAD/CAM concepts and Applications by Alavala, PHI.

REFERENCE BOOKS:

• 1. Curves and surfaces for CAGD, Fifth Edition by Gerald Farin, Elsevier, India
• 2. Computer Graphics by Alavala, PHI, New Delhi
• 3. CAD/CAM by Ibrahim Zeid, Tata McGraw Hill.
• 4. Elements of Computer Graphics by Roger & Adams, Tata McGraw Hill. M. TECH. I Year II Sem. (ENGG. DESIGN)