By Jack Xu
Developing 2nd and 3D charts is without doubt one of the commonest makes use of of special effects. Such charts could have huge functions in representing mathematical, actual, and fiscal capabilities on your way of life. no matter if you're an engineer, a quantitative analyst, a instructor, or a pupil, you are going to prove facing charting purposes to a few degree.
Windows Presentation starting place (WPF) is a next-generation portraits platform that allows you to construct complex consumer interfaces incorporating files, media, 2nd and 3D snap shots, and animations. it truly is an excellent improvement instrument with a purpose to not just generate info, but in addition simply symbolize facts graphically.
Practical WPF Charts and portraits presents the entire instruments it is very important increase specialist chart and portraits purposes in WPF and C#. This ebook could be worthy for WPF and C# programmers of all ability degrees, supplying a whole and finished rationalization of WPF’s portraits power and the construction of assorted charts, and paying specific consciousness to the main points of code implementation.
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The transform matrices across either of the coordinate axes can be written in the following forms: As you might expect, a matrix with -1 in both elements of the diagonal is a reflection that is simply a rotation by 180 degrees. Rotation Suppose you want to rotate an object by an angle θ counterclockwise. First, suppose you have a point (x1, y1) that you want to rotate by an angle θ to get to the point (x2, y2), as shown in Figure 2-3. 13 CHAPTER 2 ■ 2D TRANSFORMATIONS Figure 2-3. Rotation from point (x1, y1) to (x2, y2).
In matrix form, we should have . This is a simplification of . You can create a matrix object in WPF by using overloaded constructors. These take an array of double values, which hold the matrix items, as arguments. Cos(theta); tm = new Matrix(1, 0, 0, 1, dx, dy); sm = new Matrix(sx, 0, 0, sy, 0, 0); rm = new Matrix(cos, sin, -sin, cos, 0, 0); 21 CHAPTER 2 ■ 2D TRANSFORMATIONS The matrix tm is a translation matrix that moves an object by 3 units in the X direction and by 2 units in the Y direction.
The difference between a vector and a point is that a point represents a fixed position, whereas a vector represents a direction and a magnitude. Thus, the end points (x1, y1) and (x2, y2) of a line segment are points, but their difference, V12, is a vector that represents the direction and length of that line segment. In WPF, the following code snippet is a valid statement: Vector v12 = new Point(x2, y2) – new Point(x1, y1); Mathematically, you should keep in mind that V12 = V2 – V1, where V2 and V1 are vectors from the origin to the point (x1, y1) and the point (x2, y2), respectively.