What will happen for DDA line drawing algorithm if slope of the line is negative?
DDA’s figure out which axis by evaluating the slope. Positive slopes between 0 and 1 will increment the x value by 1. Positive slopes greater than one will increment the y value by 1. Negative slopes between -1 and 0 will increment the x value by -1, and negative slopes less than -1 will increment the y value by -1.
How does the Bresenham line drawing algorithm work?
This algorithm is used for scan converting a line. It was developed by Bresenham. It is an efficient method because it involves only integer addition, subtractions, and multiplication operations. These operations can be performed very rapidly so lines can be generated quickly….Bresenham’s Line Algorithm:
| x | y | d=d+I1 or I2 |
|---|---|---|
| 7 | 4 | d+I2=7+(-6)=1 |
| 8 | 5 |
What are the disadvantages of Bresenham algorithm?
Disadvantages of Bresenham Line Drawing Algorithm-
- Though it improves the accuracy of generated points but still the resulted line is not smooth.
- This algorithm is for the basic line drawing.
- It can not handle diminishing jaggies.
What is slope of a DDA circle algorithm?
DDA Algorithm is explained by taking some examples. Remember the steps: If slope (m) is less than 1 (m<1) then increment x as x1+1 and calculate y as y1=y1+m. If slope (m) is greater than 1 (m>1) then increment y as y1+1 and calculate x1=x1+1/m.
What will happen if PK 0?
i.e., Pk<0, means that midpoint is inside the circle boundary, so the circle boundary is close to the upper pixel, thus choose the upper pixel (xk+1, yk) for plotting, otherwise if Pk>0, the midpoint is outside the circle boundary, so the circle boundary is close to the lower pixel, thus choose the lower pixel (xk+1.
What is true about the Bresenham’s circle algorithm?
Bresenham’s Circle Drawing Algorithm is a circle drawing algorithm that selects the nearest pixel position to complete the arc. The unique part of this algorithm is that is uses only integer arithmetic which makes it, significantly, faster than other algorithms using floating point arithmetic in classical processors.
What is slope of line in computer graphics?
Slope = (Change in height)/(Change in width) Or: Slope = rise/run. If y represents the vertical direction on a graph, and x represents the horizontal direction, then this formula becomes: Slope = (Change in y)/(Change in x)
What is the main difference between DDA and Bresenham algorithm?
The main distinction between DDA algorithm and Bresenham line algorithm is that, the DDA algorithmic rule uses floating purpose values whereas in Bresenham, spherical off functions is used.
What is the use of slope m in DDA algorithm?
What are the different assumptions in the Bresenham’s circle drawing algorithm?
What is a positive slope?
In math, the slope of a line, how its vertical distance changes as it moves in a horizontal direction, can be seen on a graph as shown in Figure 1. The positive slope definition tells us that a line with a positive slope is one where the right side of the line is higher than the left side of the line.
What is advantage of Bresenham line drawing algorithm?
It is fast and incremental. It executes fast but less faster than DDA Algorithm. The points generated by this algorithm are more accurate than DDA Algorithm. It uses fixed points only.
How do you use Bresenham’s algorithm to find the slope?
Take (X2, Y2) as the starting point and (X1, Y1) as the endpoint, then continue the Bresenham’s algorithm. In the case of a negative slope, we can get the line with a positive slope by reflecting the original line around the X-axis.
How do you plot a negative slope in Bresenham?
Bresenham for negative slopes Consider a line with negative slope between 0 and 1 (i.e., small negative slope. Given that a line-drawing algorithm has plotted a point at (x,y), its choice about where to plot the next point is between (x+1,y-1) and (x+1,y). As usual there will be an error,, associated with y.
Why is Bresenham’s line algorithm used in computer graphics?
While algorithms such as Wu’s algorithm are also frequently used in modern computer graphics because they can support antialiasing, the speed and simplicity of Bresenham’s line algorithm means that it is still important. The algorithm is used in hardware such as plotters and in the graphics chips of modern graphics cards.
What is the difference between DDA and bresengham’s algorithm?
Similar to the DDA algorithm, we need two endpoints, P and Q, to draw a line using Bresengham’s algorithm. Bresenham’s algorithm only uses integer values, integer comparisons, and additions. This makes Bresenham’s algorithm more efficient, fast, and easier to calculate than the DDA algorithm.