Without getting into a bunch of math, here is a strategy.
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Identify the face nearest to the camera under some criteria. Two possible criteria for determining the closest face are:
a. Finding the closest face based on the Euclidian distance between the face centroid and the camera’s centroid.
b. Determine which face normal vector is most close to parallel to the camera view vector and has a direction that is opposite to the view vector. This assumes that the face normal vectors point outwards.
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Once you’ve identified the ‘closest’ face, determine the inverse transform to that will align the face normal with the camera view vector. Any decent 3D computer graphics text will serve as a reasonable guide.
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solved Align the cube’s nearest face to the camera [closed]