PPT-Vectors Jeff Chastine 1  

A mathematical structure that has more than one part eg an array 2D vectors might have x and y 3D vectors might have x y and z 4D vectors might have x y z and . 1 Motivation A3 A2 Vectors A3 A21 Notational Conventions A4 A22 Visualization A5 A23 Special Vectors A5 A3 Vector Operations A5 A31 Transposition A6 A32 Equality A6 A33 Addition and Subtraction A . scalar. quantity . can be described by a . single number. , . with some meaningful . unit. 4 oranges. 20 miles. 5 miles/hour. 10 Joules of energy. 9 Volts . Vectors and scalars. A . scalar. quantity . Jeff Chastine. 1. What is Light?. A very complex process. Find a dark area – how is it being lit?. Light bounces (mirrors, shiny objects). Light refracts through other media (water, heat). Light comes . Understanding . DLLs. Jeff Chastine. 1. Dynamic Link Libraries. Real world: No . longer building from scratch. !. DLLs – Dynamic Link Libraries. Just a compiled set of . functions. R. eusable. Look in system32!. Coordinate Systems. Jeff Chastine. 1. The Local Coordinate System. Jeff Chastine. 2. Sometimes called “Object Space”. It’s the coordinate system the model was made in. The Local Coordinate System. Coordinate Systems. Jeff Chastine. 1. The Local Coordinate System. Jeff Chastine. 2. Sometimes called “Object Space”. It’s the coordinate system the model was made in. The Local Coordinate System. When the best just isn’t possible. Jeff Chastine. Approximation Algorithms. Some NP-Complete problems are too important to ignore. Approaches:. If input small, run it anyway. Consider special cases that may run in polynomial time. What is Light?. A very complex process. Find a dark area – how is it being lit?. Light bounces (mirrors, shiny objects). Light refracts through other media (water, heat). Light comes . from . everywhere (Global Illumination). 1. Texture Mapping. Applying an image (or a . texture. ) to geometry. 2D images (rectangular). 3D images (volumetric – such as a CAT scan). Adds realism to the scene. A vertex can have:. A 3D position (x, y, z) – 3 floats. offutt. /. SWE 632. User Interface Design and Development. Cooper Ed4, . Ch. . 9. Cooper Part II. Well-Behaved Products. Etiquette, Posture, and Intermediates. Ch. . 9 : . Posture. 31-Aug-16. © Jeff Offutt. Any vector can be resized by multiplying it by a real number (scalar).. Multiplying by positive scalar changes magnitude only.. Multiplying by a negative scalar changes the magnitude and its direction.. Jeff Chastine. 1. Quick Background. Jeff Chastine. 2. A . vertex. is a 3D point (. x. , . y. , . z. ). A . triangle. is made from 3 vertices. h. as a . normal. Note: vertices can have . normals. too!. Lighting Jeff Chastine 1 What is Light? A very complex process Find a dark area – how is it being lit? Light bounces (mirrors, shiny objects) Light refracts through other media (water, heat) Light comes A vector is a DNA molecule that has the abil­ity to replicate autonomously in an appropri­ate host cell and into which the gene of inter­est (a foreign genetic sequence) is integrated. When we insert a foreign genetic sequence into the vector the aim is either to obtain numer­ous copies of the gene of interest or to obtain the product of that..