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Triangle Centered Approximation

One technique of approximation involves the usage of multiple triangles across the surface light field by defining
a local reference frame for each partitioned triangular rendering area.

A formula can now be constructed to represent the light map ranges for both within and outside the specific control
area.

Each triangular area is then decomposed independently so compression through truncation can be performed by the
root mean square approximation of each light field.
Triangle-Centered Light Field Mapping


Triangle-centered rendering produces the actual visual object by computing the local reference frame of each triangle
using the pixel-per-pixel multiplication of both the surface and view map images. The surface map data is
static, while the view map data is dynamic according to the viewing direction.
Analysis of Triangle-Centered Approximation

Triangle-centered approximation has the advantage of being a relatively simple mathematical process, thus performance
impact is kept within minimal boundaries. However, this process does limit rendering accuracy, especially
near the triangular edge layer boundaries. Slight edge imperfections and discontinuities can be observed
with the above image beyond the normal imaging issues present with JPEG compression.
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