Circle drawing program in computer graphics




















Because then only we will be able to draw more complicated images. The circle is also an important primitive in all the graphics packages. A circle can be defined by its center and radius. There is an important property of a circle which is its symmetry.

You have to find points of the circle for only one octant. Points for other octants can be derived easily. We enhance it by setting up decision parameters for finding the closest pixel to the circumference at each sampling step. It avoids square root calculations by comparing the squares of the pixel separation distances.

Midpoint Circle Algorithm is a method for direct distance comparison. It tests the halfway position between two pixels. Then it determines if this midpoint is inside or outside the circle boundary. We can apply this method to other conics also. Bresenham algorithm can draw circles and curves with much more accuracy than DDA. Circle is an eight-way symmetric figure. The shape of circle is the same in all quadrants.

In each quadrant, there are two octants. If the calculation of the point of one octant is done, then the other seven points can be calculated easily by using the concept of eight-way symmetry. These operations can be performed very rapidly so lines can be generated quickly. The increment in the other variable is determined by examining the distance between the actual line location and the nearest pixel. This distance is called decision variable or the error. The most important thing in drawing a circle is learning how the circle is drawn using 8-way symmetry.

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