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This chapter introduces our approach to the Boolean algebra of solid models, grounded in the algebraic topology of piecewise-linear geometry. It presents computational topology algorithms for determining the two- and three-dimensional space partitions (arrangements) generated by collections of one- and two-dimensional geometric objects, respectively.

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Space Arrangement Pipeline

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  • 发表日期：

    2026年

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  • Alberto Paoluzzi,
  • Giorgio Scorzelli

摘要

This chapter introduces our approach to the Boolean algebra of solid models, grounded in the algebraic topology of piecewise-linear geometry. It presents computational topology algorithms for determining the two- and three-dimensional space partitions (arrangements) generated by collections of one- and two-dimensional geometric objects, respectively.