tailieunhanh - Lecture Computer graphics: Lecture 12 - Fasih ur Rehman

After you read this chapter you should be able to: Describe various types of network attacks, and identify ways to safeguard against these attacks, including firewalls and intrusion detection software; discuss techniques to prevent unauthorized computer access and use; identify safeguards against hardware theft and vandalism;. | Computer Graphics Lecture 12 Fasih ur Rehman Last Class Geometric Objects Point Line Vector Dot Product Today’s Agenda Cross Product Plane Sphere Transformations Cross Product The product of two vectors (a and b) is another vector which is orthogonal to both the vectors (a and b). The new vector is called Cross Product or Vector Product of the two vectors. Right hand rule determines the direction of the product. 3D Plane Linear combination of three points 3D Sphere Transformations Matrix Algebra (A Review) Matrix Algebra (A Review) Scaling Scaling is achieved by multiplying each graphic component by a scalar Scaling will be uniform if this scalar is same for all components Different components are scaled differently, scaling in uniform Example ` ` ` Scaling Operation The matrix is called scaling matrix 12 2D Rotation 2D Rotation Summary Cross Product References Fundamentals of Computer Graphics Third Edition by Peter Shirley and Steve Marschner Interactive Computer Graphics, A . | Computer Graphics Lecture 12 Fasih ur Rehman Last Class Geometric Objects Point Line Vector Dot Product Today’s Agenda Cross Product Plane Sphere Transformations Cross Product The product of two vectors (a and b) is another vector which is orthogonal to both the vectors (a and b). The new vector is called Cross Product or Vector Product of the two vectors. Right hand rule determines the direction of the product. 3D Plane Linear combination of three points 3D Sphere Transformations Matrix Algebra (A Review) Matrix Algebra (A Review) Scaling Scaling is achieved by multiplying each graphic component by a scalar Scaling will be uniform if this scalar is same for all components Different components are scaled differently, scaling in uniform Example ` ` ` Scaling Operation The matrix is called scaling matrix 12 2D Rotation 2D Rotation Summary Cross Product References Fundamentals of Computer Graphics Third Edition by Peter Shirley and Steve Marschner Interactive Computer Graphics, A Top-down Approach with OpenGL (Sixth Edition) by Edward . | Computer Graphics Lecture 12 Fasih ur Rehman Last Class Geometric Objects Point Line Vector Dot Product Today’s Agenda Cross Product Plane Sphere Transformations Cross Product The product of two vectors (a and b) is another vector which is orthogonal to both the vectors (a and b). The new vector is called Cross Product or Vector Product of the two vectors. Right hand rule determines the direction of the product. 3D Plane Linear combination of three points 3D Sphere Transformations Matrix Algebra (A Review) Matrix Algebra (A Review) Scaling Scaling is achieved by multiplying each graphic component by a scalar Scaling will be uniform if this scalar is same for all components Different components are scaled differently, scaling in uniform Example ` ` ` Scaling Operation The matrix is called scaling matrix 12 2D Rotation 2D Rotation Summary Cross Product References Fundamentals of Computer Graphics Third Edition by Peter Shirley and Steve Marschner Interactive Computer Graphics, A Top-down Approach with OpenGL (Sixth Edition) by Edward Angel.