Computer
Graphics
Lecture 19
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Projections, Shears - Computer Graphics - Lecture Slides, Slides of Computer Graphics
Projections, Reflection, Reflection of points, Shears, Modify object shapes, Shearing transformations, Display 3D point on 2D Screen, Mapping, Methods of Projection terms are which we learned in this lecture.
Typology: Slides
2011/2012
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Computer
Graphics
Lecture 19Docsity.com
PROJECTIONS
I
In general, three-dimensionalreflection matrices are set up similarly to those for twodimensions. Reflections relative to a given axis are equivalent to180 degree rotations.
relative to the X axisReflection of points
Reflection of points relative to the xy
plane
Shears
- As an example of three-dimensional shearing, the following transformationproduces a z-axis shear:
00 00 10 10
(^1010) ba 00
Y-axis shear
01 1 a c 00 00
How can we display 3Dpoint on 2D Screen?
Projection can be definedPROJECTION
asP(x,y,z) a mappingonto itsof imagepoint P(x,y,z) in the projectionplane or view plane, which constitutessurface the display
Methods of Projection
- 2.Parallel ProjectionPerspective Projection
- Wedifferent can projectionsconstruct accordingthat is desired to the view