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The barycentric coordinates of are derived from the areas of sub-triangles .
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All of the examples demonstrating ordered dithering so far have been produced using a specific type of threshold matrix commonly known as a Bayer matrix. In theory however any matrix could be used and a number of alternatives are available depending on your qualitative preference. Matrices also don’t have to be square or even rectangular; polyomino-based dithering matrices have been explored as well[6].
At the heart of BuildKit is LLB (Low-Level Build definition). Think of it as the LLVM IR of build systems. LLB is a binary protocol (protobuf) that describes a DAG of filesystem operations: run a command, copy files, mount a filesystem. It’s content-addressable, which means identical operations produce identical hashes, enabling aggressive caching.