Viewing and Perspective Transformations

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Presentation transcript:

Viewing and Perspective Transformations Day 03 Viewing and Perspective Transformations

Transformation of Normal Vectors the normal vector is the vector that is perpendicular to a surface at some point on the surface i.e., we can think of the surface as being locally planar at the point and the normal vector is the normal vector to the plane

Transformation of Normal Vectors a point q is on the plane if and only if written as matrix multiplication

Transformation of Normal Vectors if the surface is transformed by some invertible affine transformation T then the plane is also transformed by T we require the normal to the transformed plane notice that therefore

Transformation of Normal Vectors what happens if T is a translation? a uniform scale? a rotation? not invertible?