A GPU loads point sprites that represent coded blocks of transform coefficients of one or more frames encoded in a bitstream and loads a transform kernel as a transform kernel texture. The GPU constructs an output frame using an inverse transform on the coded blocks of transform coefficients by transforming the point sprites with the transform kernel texture and by optionally dequantizing the point sprites. A single render pass may be used in which the rasterization formula performs the inverse transform and optionally dequantization. To preserve bandwidth, a CPU may refrain from sending the GPU at least some zero valued transform coefficients for the point sprites. Also, to reduce processing, the transform coefficients can remain in a zig-zag arrangement. The transform kernel texture used in the decoding can correspond to a modified version of the basis matrices used to encode the frame, which compensates for the zig-zag arrangement.