matrix class examples

C# matrix class

1. The Matrix Class and Transformations

Matrices play a vital role in the transformation process. A matrix is a multidimensional array of values in which each item in the array represents one value of the transformation operation, as we will see in the examples later in this chapter.

2. Matrix Class

Encapsulates a 3-by-3 affine matrix that represents a geometric transform. This class cannot be inherited.

3. Matrix Class

Encapsulates a 3-by-3 affine matrix that represents a geometric transform. This class cannot be inherited.

4. Matrix Representation of Transformations

An m×n matrix is a set of numbers arranged in m rows and n columns. The following illustration shows several matrices.

5. Coordinate Systems and Transformations

GDI+ provides a world transformation and a page transformation so that you can transform (rotate, scale, translate, and so on) the items you draw. The two transformations also allow you to work in a variety of coordinate systems.

6. Using the World Transformation

The world transformation is a property of the Graphics class. The numbers that specify the world transformation are stored in a Matrix object, which represents a 3×3 matrix. The Matrix and Graphics classes have several methods for setting the numbers in the world transformation matrix.

7. Graphics.BeginContainer Method

Saves a graphics container with the current state of this Graphics and opens and uses a new graphics container.

8. Graphics Containers in GDI+

The BeginContainer method of the Graphics class creates a container. Each BeginContainer method is paired with an EndContainer method.

9. A Beginner’s Primer on Drawing Graphics using the .NET Framework

Admittedly, the Windows Presentation Foundation (WPF) has established itself as a powerful technology for graphics, amongst other things. This does not mean, however, that the beginner cannot benefit from the .NET Framework 2.0’s provision for drawing graphics. Graphics in .NET begins with drawing lines and shapes, and continues on with work on images and formatting text. Drawing begins with the System.Drawing.Graphics class. To create an instance, you typically call a control’s CreateGraphics method. Alternatively, you can create a Graphics object based on an Image object if you want to save a picture as a file. Once you create the Graphics object, you have many methods you can use to perform the drawing:

10. Using Graphics Containers

A Graphics object provides methods such as DrawLine, DrawImage, and DrawString for displaying vector images, raster images, and text. A Graphics object also has several properties that influence the quality and orientation of the items that are drawn. For example, the smoothing mode property determines whether antialiasing is applied to lines and curves, and the world transformation property influences the position and rotation of the items that are drawn.

11. How do graphic containers work?

I'm trying to figure out how exactly gdi+ graphics containers works with different graphic units. Take a look at the below code. It compiles, you can paste it into a fresh new form.

12. C# How to Use Paint and the C# Graphics Class to Draw Lines

This video demonstrates how to create a winform application using Visual Studio 2012 (but will also work for 2010, 2008, and 2005). The application built focuses on how to draw lines with C# and use the Graphics classes that are available in .Net. It is intended for beginners looking to create their very first winform application.

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13. Coordinate Systems and Transformations

GDI+ provides a world transformation and a page transformation so that you can transform (rotate, scale, translate, and so on) the items you draw. The two transformations also allow you to work in a variety of coordinate systems.

14. Types of Coordinate Systems

GDI+ uses three coordinate spaces: world, page, and device. World coordinates are the coordinates used to model a particular graphic world and are the coordinates you pass to methods in the .NET Framework. Page coordinates refer to the coordinate system used by a drawing surface, such as a form or control. Device coordinates are the coordinates used by the physical device being drawn on, such as a screen or sheet of paper. When you make the call myGraphics.DrawLine(myPen, 0, 0, 160, 80), the points that you pass to the DrawLine method—(0, 0) and (160, 80)—are in the world coordinate space. Before GDI+ can draw the line on the screen, the coordinates pass through a sequence of transformations. One transformation, called the world transformation, converts world coordinates to page coordinates, and another transformation, called the page transformation, converts page coordinates to device coordinates.

15. Matrix Representation of Transformations

An m×n matrix is a set of numbers arranged in m rows and n columns. The following illustration shows several matrices.

16. Global and Local Transformations

A global transformation is a transformation that applies to every item drawn by a given Graphics object. In contrast, a local transformation is a transformation that applies to a specific item to be drawn.

Good video