How do you know if a polygon is simple?

If no intersections are discovered, the polygon is simple. If it is not, the polygon can be viewed as a chain of two or more simple polygons, with neighboring polygons in the chain having only a finite number of corner points in common (Figure 7.20b). Each simple polygon in the chain can then be treated separately.

What is the simplest kind of polygon?

In geometry, a simple polygon /ˈpɒlɪɡɒn/ is a polygon that does not intersect itself and has no holes. That is, it is a flat shape consisting of straight, non-intersecting line segments or “sides” that are joined pairwise to form a single closed path. If the sides intersect then the polygon is not simple.

How do you make a simple polygon?

Starts here46:47How to draw regular polygons knowing the length of one sideYouTubeStart of suggested clipEnd of suggested clip61 second suggested clipSo now we are going to draw a regular hexagon given the length of one of its sides L. The next stepMoreSo now we are going to draw a regular hexagon given the length of one of its sides L. The next step with our compass set on the point a and radius a B we draw an arc to the left.

What are the method used to determine whether a point is inside or outside the polygon?

One simple way of finding whether the point is inside or outside a simple polygon is to test how many times a ray, starting from the point and going in any fixed direction, intersects the edges of the polygon. If the point is on the outside of the polygon the ray will intersect its edge an even number of times.

What is the difference between simple and complex polygons?

A simple polygon has only one boundary, and it doesn’t cross over itself. The sides of a simple polygon do not intersect. Complex polygon is a polygon whose sides cross over each other one or more times.

What is not a polygon?

A circle is not a polygon. A figure or shape is not considered a polygon if it has rounded sides or if its sides intersects at any place other than at the ends of each side. Therefore a circle is not a polygon and an hourglass shape is not a polygon. Instead, it is two polygons, two triangles.

What is a simple shape?

Simple shapes can often be classified into basic geometric objects such as a point, a line, a curve, a plane, a plane figure (e.g. square or circle), or a solid figure (e.g. cube or sphere). However, most shapes occurring in the physical world are complex.

How do you determine if a point is inside a convex polygon?

Algorithm: For a convex polygon, if the sides of the polygon can be considered as a path from any one of the vertex. Then, a query point is said to be inside the polygon if it lies on the same side of all the line segments making up the path.

Is a method for testing a pixel inside of a polygon?

Scan line polygon filling algorithm can be used for filling Convex polygon.

How can you differentiate between simple and complex shapes?

What is a not a polygon?

To be a polygon, a flat, closed shape must use only line segments to create its sides. So a circle or any shape that has a curve is not a polygon.

What is the fastest way to triangulate a polygon?

Given the importance of triangulation, a lot of effort has been put into finding a fast polygon triangulating routine. The simplest recursive triangulation of a polygon runs in time O (n 3) by cutting ears from the polygon. O (n 2) algorithms have been known since at least 1911.

What is the meaning of simple polygon?

In geometry a simple polygon /ˈpɒlɪɡɒn/ is a polygon that does not intersect itself and has no holes.

What is the best algorithm for Polygon tessellation?

The ear clipping algorithm from libgdx is a good place to start from, since its very robust – using FIST (Fast Industrial-Strength Triangulation of Polygons). I used this as a basis for polygon tessellation, then added spatial optimizations for the point-in-triangle tests, ( O (n log n) instead of O (n^2) ). C code, tests.

Why is my polygon triangulation algorithm failing?

You are doing a version of “ear clipping” approach to triangulation, see: http://en.wikipedia.org/wiki/Polygon_triangulation. Your algorithm fails if another polygon vertex (say from the other side of the polygon) ends up inside the triangle ‘ear’ you form.