Lecture_Chapter4_b

# Ecs 175 chapter 4 object transformation 34 notes on

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Unformatted text preview: ect Transformation 33 A Brief Review of Linear Algebra •  Applying multiple transformations in sequence Mscal · Mrot · v = v ￿ (Mscal · Mrot ) · v = v ￿ Order of operations is important! ECS 175 Chapter 4: Object Transformation 34 Notes on Matrices in OpenGL •  OpenGL <3.0 includes matrix operations and stack glMatrixMode(…) glLoadMatrix(…) glMultMatrix(…) glPushMatrix() //push current matrix to top of stack glPopMatrix() //take matrix from top of stack … Assignment 2: You may use glLoadMatrix, glMultMatrix or pass the matrices to the vertex shader as uniform variables (do not use glTranslate, glRotate). •  Matrix operations and stack deprecated in OpenGL 3.0+ •  Implement own transformation matrices •  Pass to vertex shader (OpenGL/GLSL: uniform variables) ECS 175 Chapter 4: Object Transformation 35 Notes on Matrices in OpenGL •  OpenGL <3.0 vertex shader example void main(void) { gl_Position = gl_ProjectionMatrix * gl_ModelViewMatrix * gl_Vertex; } •  OpenGL 3.0+ vertex shader example attribute vec3 in_Position; //vertex attribute is part of VBO/vertex array uniform mat4 m_modelview; //custom uniform variable for modelview matrix uniform mat4 m_projection; //custom uniform variable for projection matrix void main(void) { gl_Position = m_projection * m_modelview * vec4(in_Position,1.0); } ECS 175 Chapter 4: Object Transformation 36 Homogeneous Coordinates •  Problems so far: •  No translation •  No explicit notion of local and global coordinates •  No distinction between points and vectors Homogeneous coordinates solve these problems. ECS 175...
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## This document was uploaded on 03/12/2014 for the course ECS 175 at UC Davis.

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