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Introductory Vector Calculus - web.cs.wpi.edu

Introductory Vector CalculusVersion Wittels121 Clark RoadBrookline MA 1994-97 Norman WittelsIntroductory Vector CalculusIntroductionThese notes summarize some of the Vector Calculus used in computer graphics and machinevision. They are not intended to supplant mathematics courses or texts nor are they intended tobe complete or rigorous. The main purposes of these notes are to show a few examples at aproficiency level useful for designing computer graphics and machine vision algorithms and toprovide references which may be helpful in achieving that use coordinate systems to denote positions of points in space. All computer graphics/visionis done using affine coordinate systems. In such a system, each point is determined by a uniqueset of coordinates. The size of the set the number of coordinates required is called thedimensionality of the coordinate system. A 2D system requires 2 coordinates, a 3D systemrequires 3 coordinates, etc.

Introductory Vector Calculus Pxyz xyz=(),, ,Pxyz=()ˆ,ˆ,ˆ When using the cartesian coordinate system, some authors use a mixed notation in which the linear sum of the unit vectors is implied by the coefficients (the coordinates)

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  Vector, Introductory, Calculus, Introductory vector calculus

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