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Midpoint Ellipse Algorithm
Midpoint ellipse algorithm is a method for drawing ellipses in computer graphics.
This method is modified from Bresenham's algorithm. The advantage of this modified
method is that only addition operations are required in the program loops. This leads
to simple and fast implementation in all processors.
Let us consider one quarter of an ellipse. The curve is divided into two regions. In
region I, the slope on the curve is greater than -1 while in region II less than -1.
dy/dx = -1
Region II
Region I
a
b
x
y
m = -1
Consider the general equation of an ellipse,
b2x2 + a2y2 - a2b2 = 0
where a is the horizontal radius and b is the vertical radius, we can define an function
f(x,y) by which the error due to a prediction coordinate (x,y) can be obtained. The
appropriate pixels can be selected according to the error so that the required ellipse is
formed. The error can be confined within half a pixel.
Set f(x,y) = b2x2 + a2y2 - a2b2
In region I (dy/dx > -1),
(xk, yk)
Prediction
(xk+1, yk-½)
SE
E
Region I
x is always incremented in each step, i.e. xk+1 = xk + 1.
yk+1 = yk if E is selected, or yk+1 = yk - 1 if SE is selected.
In order to make decision between S and SE, a prediction (xk+1, yk-½) is set at the
middle between the two candidate pixels. A prediction function Pk can be defined as
follows:
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∙ 15y agoWhat is the symbols of the ellipse
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Difference between Bresenham and midpoint circle drawing algorithm?
what is difference between mid-point and bresenhams circle algorithm what is difference between mid-point and bresenhams circle algorithm bresenhams circle algorithm results in a much more smoother circle,comparred to midpoint circle algorithm..In mid point,decision parameter depends on previous decision parameter and corresponding pixels whereas in bresenham decision parameter only depends on previous decision parameter...
What is an yes or no decision point in an algorithm?
A boolean expression.
What is algorithm to write algorithm to the program to access a pointer variable in structure?
Here is the algorithm of the algorithm to write an algorithm to access a pointer in a variable. Algorithmically.name_of_the_structure dot name_of_the _field,eg:mystruct.pointerfield
Which algorithm is more efficient lamport bakery algorithm or black and white bakery algorithm?
Black and White bakery algorithm is more efficient.
What is are advatages and disadvatages of bresenham's line algorithm?
1. High accuracy. Comparing to Basic Incremental algorithm (especially if the slope were > 1.) 2. High speed. Comparing to Digital Differenmtial algorithm. 3. Draws the line between any two points. Comparing to Basic Incremental algorithm which can't draw if x0 > x1 ( the format is: (x0, y0), (x1, y1). )
Algorithm for drawing circle in context of computer graphics?
Bresham's Mid point circle drawing algorithm.
Difference between Bresenham and midpoint circle drawing algorithm?
what is difference between mid-point and bresenhams circle algorithm what is difference between mid-point and bresenhams circle algorithm bresenhams circle algorithm results in a much more smoother circle,comparred to midpoint circle algorithm..In mid point,decision parameter depends on previous decision parameter and corresponding pixels whereas in bresenham decision parameter only depends on previous decision parameter...
What does the word ellipse means?
Ellipse is a term for an oval. Specifically it is a shape where the sum of the distance of every point on the ellipse to two points, called the foci, is equal.
What are the difference between circle and ellipse between circle and ellipse?
An ellipse is a shape on which the sum of the distances from every point to two points inside called the foci (focuses) is always the same number. A circle is an ellipse with both foci (focuses) at the same point.
What is the FOCI of a circle?
A circle is an ellipse with an eccentricity of zero. Both foci of that ellipse are at the same point. In the special case of the circle, that point is called the "center".
How do you use the word ellipse in a sentence?
Ben drew an ellipse as a plane curve with edges not parallel to its axis.
What is the shape of the ellipse that both foci in the same place?
Both foci of any ellipse are always in the same plane.If they're both at the same point, then the ellipse is a circle.
A is a point that helps to define an ellipse?
focus
When is an ellipse very accentrie?
An ellipse is very eccentric when its foci are far apart.The closer one focus is to the other, the less eccentric the ellipse is.When when both foci are the same point, the eccentricity is zero, and the ellipse is a circle.
What are the properties that determines the true shape of ellipse?
Essentially an ellipse is a circle rotated about an axis without changing the point of view.
What is the point that helps to define an ellipse?
There are two points: the foci.
What is a point that helps define an ellipse parabola and hyperbola?
focus
