Category Archives: geometry

Calculate where a line segment and an ellipse intersect in C#

Posted on August 3, 2017 by Rod Stephens

Finding the intersection between a line segment and an ellipse requires a lot of mathematics. It’s not particularly hard mathematics, but if you’d rather skip it, you can use the following links to jump to the other parts of this … Continue reading →

Posted in algorithms, drawing, geometry, graphics, mathematics | Tagged algorithms, C#, C# programming, drawing, ellipse, ellipse line intersection, ellipse/line intersection, example, example program, geometry, graphics, intersection, line, line ellipse intersection, line segment, line/ellipse intersection, mathematics, Windows Forms programming | 5 Comments

Generate random polygons in C#

Posted on July 7, 2017 by Rod Stephens

I needed a method for generating random polygons for a graphics program and the following code shows the result. // Make random polygons inside the bounding rectangle. private static Random rand = new Random(); public static PointF[] MakeRandomPolygon( int num_vertices, … Continue reading →

Posted in algorithms, geometry, graphics | Tagged algorithms, C#, C# programming, example, example program, geometry, graphics, random polygon, random polygons, Windows Forms programming | Leave a comment

Make silly eyes that track the mouse without flicker in C#

Posted on May 27, 2017 by Rod Stephens

The example Make silly eyes that track the mouse in C# shows how to make eyes track the mouse position, but if you look closely as that program runs you will see a noticeable flicker. The solution is quite simple: … Continue reading →

Posted in games, geometry, graphics | Tagged C#, C# programming, example, example program, games, geometry, graphics, mouse position, MousePosition, track mouse, track the mouse, unit vector, Windows Forms programming | 1 Comment

Make silly eyes that track the mouse in C#

Posted on May 26, 2017 by Rod Stephens

This example uses a Timer named tmrTick to track the mouse. Its Tick event handler, which is shown in the following code, updates the eyes. // The previous mouse location. private Point OldMousePos = new Point(-1, -1); // See if … Continue reading →

Make a 3D globe in WPF and C#

Posted on May 25, 2017 by RodStephens

This example shows how you can draw a 3D globe. More generally it shows how you can make a three-dimensional textured sphere in WPF. The example Draw smooth spheres using WPF and C# shows how to make smooth colored spheres. … Continue reading →

Posted in algorithms, drawing, geometry, graphics, mathematics, wpf, XAML | Tagged 3D, 3D globe, algorithms, C#, C# programming, drawing, example, example program, geometry, graphics, mathematics, sphere, tectured sphere, texture, Windows Forms programming, WPF, XAML | Leave a comment

Draw an interesting pattern of circles in C#

Posted on December 20, 2016 by RodStephens

This program simply draws an interesting arrangement of circles. I wrote it because a C# Helper post was mentioned on this Factal [sic] Patterns & Art page. This program uses the following code to draw the circles and connecting lines. … Continue reading →

Posted in algorithms, drawings, geometry, graphics, mathematics | Tagged algorithms, C#, C# programming, circles, drawing, example, example program, geometry, graphics, mandala, mathematics, patterns of circles, Windows Forms programming | Leave a comment

Circumscribe three tangent circles in C#

Posted on November 3, 2016 by Rod Stephens

The first step in the example Draw an Apollonian gasket in C# is to circumscribe three circles that all meet tangentially with a larger circle as shown in this example. In the previous example I glossed over how the program … Continue reading →

Posted in algorithms, drawing, geometry, graphics, mathematics | Tagged algorithms, Apollonian circles, Apollonian gasket, Apollonian packing, Apollonius, Apollonius' Problem, C#, C# programming, drawing, example, example program, geometry, graphics, mathematics, tangent cicles, Windows Forms programming | Leave a comment

Find the shortest distance between a point and a line segment in C#

Posted on September 21, 2016 by Rod Stephens

This example treats the segment as parameterized vector where the parameter t varies from 0 to 1. It finds the value of t that minimizes the distance from the point to the line. If t is between 0.0 and 1.0, … Continue reading →

Posted in algorithms, geometry, graphics, mathematics | Tagged algorithms, C#, C# programming, example, example program, geometry, graphics, intersection, line intersection, lines, lines intersect, lines segments, mathematics, shortest distance, Windows Forms programming | 21 Comments

Make a Region from non-transparent pixels in C#

Posted on September 2, 2016 by Rod Stephens

The example Make shaped PictureBoxes in C# sets the Region property of two PictureBox controls to circular regions. That works well in that example where the images are round volleyballs with transparent backgrounds, but it would be hard to manually … Continue reading →

Posted in algorithms, geometry, graphics, image processing | Tagged algorithms, C#, C# programming, example, example program, geometry, graphics, image processing, pixels, regions, transparency, transparent, transparent pixels, Windows Forms programming | Leave a comment

Make shaped PictureBoxes in C#

Posted on August 27, 2016 by Rod Stephens

This example shows how to use regions to make shaped PictureBoxes. The PNG image format allows you to define transparent pixels. As you might guess, if you draw an image with transparent pixels, those pixels are not drawn and whatever … Continue reading →