2d scan line conversion
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2D Scan-line Conversion. University of Missouri at Columbia. 2D Scan-line Conversion. DDA algorithm Bresenham’s algorithm. DDA algorithm. The simplest algorithm. Named after Digital Differential Analyzer. ( x 1 , y 1 ). d y. ( x 0 , y 0 ). d x. DDA Algorithm. DDA Algorithm.

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2D Scan-line Conversion

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2D Scan-line Conversion

University of Missouri at Columbia


2D Scan-line Conversion

  • DDA algorithm

  • Bresenham’s algorithm


DDA algorithm

  • The simplest algorithm.

  • Named after Digital Differential Analyzer.

(x1, y1)

dy

(x0, y0)

dx


DDA Algorithm


DDA Algorithm


DDA Algorithm


DDA Algorithm


DDA Algorithm


DDA Algorithm


2D Scan-line Conversion

  • DDA algorithm

  • Bresenham’s algorithm


Bresenham’s Midpoint Algorithm

  • DDA is simple, efficient, but needs floating points.

  • Bresenham’s use integer addition only.

(x1, y1)

dy

(x0, y0)

dx


Bresenham’s Midpoint Algorithm

  • To choose from the two pixels NE or E depending on the relative position of the midpoint Mand the line.

  • Choose E if M is above the line,

  • Choose NE if M is below the line.

NE

M

E

(x0, y0)


Bresenham’s Midpoint Algorithm

  • Choose E if d is positive,

  • Choose NE if d is negative.

NE

M

E

(x0, y0)


Bresenham’s Midpoint Algorithm

  • Choose E if d is positive,

  • Choose NE if d is negative.

NE

M

E

(x0, y0)


Incremental Calculation of the decision variable dnew

NE

M

E

(x0, y0)


Bresenham’s Midpoint Algorithm

NE

M

E

(x0, y0)


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