Transformation matrix that maps a window

Posted by gbhall on Game Development See other posts from Game Development or by gbhall
Published on 2012-08-15T19:00:19Z Indexed on 2012/08/30 3:50 UTC
Read the original article Hit count: 277

Filed under:

matrix

|

transformation

|

homework

I'm currently learning OpenGL at uni, and they give us questions to help us learn (these are not worth anything), however I'm stuck on this one question and would have to travel over an hour and a half to uni for an answer.

How do I do this question? Please include as many steps as you can, I want to be able to follow exactly how to do this.

Find the transformation that maps a window whose lower left corner is at (1,1) and upper right corner is at (3,5) onto:

The entire device screen whose dimension is (600, 500)
A viewport that has lower left corner at (100,100) and upper right corner at (400,400)

Edit: Damn sorry I should have added I am meant to find the matrix, so no code.

© Game Development or respective owner

Related posts about matrix

Find the "largest" dense sub matrix in a large sparse matrix

as seen on Stack Overflow - Search for 'Stack Overflow'
Given a large sparse matrix (say 10k+ by 1M+) I need to find a subset, not necessarily continuous, of the rows and columns that form a dense matrix (all non-zero elements). I want this sub matrix to be as large as possible (not the largest sum, but the largest number of elements) within some aspect… >>> More
How does a template class inherit another template class?

as seen on Stack Overflow - Search for 'Stack Overflow'
I have a "SquareMatrix" template class which inherits "Matrix" template class, like below: SquareMatrix.h: #ifndef SQUAREMATRIX_H #define SQUAREMATRIX_H #include "Matrix.h" template <class T> class SquareMatrix : public Matrix<T> { public: T GetDeterminant(); }; template… >>> More
iPhone OpenGL ES: How do I use gravity vector to correctly transform scene for augmented reality

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm trying figure out how to get an OpenGL specified object to be displayed correctly according to the device orientation (ie. according to the gravity vector from the accelerometer, and heading from compass). The GLGravity sample project has an example which is almost like this (despite ignoring… >>> More
How do I use the gravity vector to correctly transform scene for augmented reality?

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm trying figure out how to get an OpenGL specified object to be displayed correctly according to the device orientation (ie. according to the gravity vector from the accelerometer, and heading from compass). The GLGravity sample project has an example which is almost like this (despite ignoring… >>> More
C++ templates - matrix class

as seen on Stack Overflow - Search for 'Stack Overflow'
Hi I'm learning templates in C++ so I decied to write matrix class which would be a template class. In Matrix.h file I wrote #pragma once #include "stdafx.h" #include <vector> using namespace std; template<class T> class Matrix { public: Matrix(); ~Matrix(); GetDataVector(); … >>> More

Related posts about transformation

transformation of UML Diagrams to specification Z using xsl transformation

as seen on Stack Overflow - Search for 'Stack Overflow'
hi. I'm trying to transform some uml diagrams (of singleton , AbstractFactory ...) to Z specification , first i transformed my uml diagram to an xml file using starUML then i used an xsl program and saxon to transform my xml file to .tex( for Z ) , but it didnt work . if someone has an idea about… >>> More
Numerically stable(ish) method of getting Y-intercept of mouse position?

as seen on Game Development - Search for 'Game Development'
I'm trying to unproject the mouse position to get the position on the X-Z plane of a ray cast from the mouse. The camera is fully controllable by the user. Right now, the algorithm I'm using is... Unproject the mouse into the camera to get the ray: Vector3 p1 = Vector3.Unproject(new Vector3(x, y… >>> More
The Aspnet Compiler Build Task in Visual Studio 2010 ASP.Net MVC 2 Projects

as seen on ASP.net Weblogs - Search for 'ASP.net Weblogs'
If you crack open the project file in an ASP.Net MVC 2 application (in notepad or unload your project and then click “ Edit *.proj” ), you will notice an interesting line. <MvcBuildViews>false</MvcBuildViews> This is an option to enable a Read More......(read more) >>> More
Transforming object world space matrix to a position in world space

as seen on Game Development - Search for 'Game Development'
Im trying to make a function for picking objects with a bounding sphere however I have run in to a problem. First I check against my my bounding sphere, then if it checks out then I test against the vertexes. I have already tested my vertex picking method and it work fine, however when I check first… >>> More
C# wpf helix scale based mesh parenting using Transform3DGroup

as seen on Game Development - Search for 'Game Development'
I am using https://helixtoolkit.codeplex.com/ as a 3D framework. I want to move black mesh relative to the green mesh as shown in the attached image below. I want to make green mesh parent to the black mesh as the change in scale of the green mesh also will result in motion of the black mesh. It… >>> More