CG-lecture02-1

# CG-lecture02-1 - Computer Graphics Lecture 2-1 Vector and...

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Computer Graphics Lecture 2-1 Vector and Matrix

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Point Point: Point is the most basic geometric element which has no size or shape. It can be described by a 2D or 3D coordinate in CG. Origin: The point whose coordinate is (0,0) in 2D space or (0,0,0) in 3D space
Line and Line Segment Line: A 1D linear geometric element which can be decided by two different points and its length is infinite Line Segment: A line with two end-points, and its length is the distance between these two end-points

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Vector Vector: A directional line segment, and it has direction and length Direction of Vector: The order of two end- points Length of Vector: The distance between two end-points
Point and Vector An arbitrary point can be describe as a vector which start with origin and end with this point. X Y Z O P

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Line and Vector (1) An arbitrary line can be described as an unit vector which describes the direction of this line and a point which passed by this line. X Y Z O P2 P1
Line and Vector (2) An arbitrary 2D line can be described as an unit vector which is vertical with the direction of this line and a point which passed by this line. X Y O P2 P1

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Plane Plane: A 2D linear geometric element which can be decided by three different points and its area is infinite Polygon: A plane with a closed boundary which is a finite line set, and its area is finite
An arbitrary plane can be described as an unit vector which is vertical with this plane and a point which passed by this plane. X

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CG-lecture02-1 - Computer Graphics Lecture 2-1 Vector and...

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