Sara McMains
Papers
1
Total Citations
17
H-Index
1
About
Sara McMains is a leading researcher in computational geometry and geometric modeling, with a particular focus on the robust construction of Voronoi diagrams and their applications in engineering design. Her most-cited work, "Edge topology construction of Voronoi diagrams of spheres in non-general position" (2019), has garnered 17 citations, addressing a critical challenge in handling degenerate configurations—a common issue in real-world CAD and manufacturing contexts. McMains’ contributions lie in developing algorithms that ensure topological correctness and numerical stability for complex geometric structures, enabling more reliable simulations and analysis in fields like additive manufacturing and material science. Her research bridges theoretical geometry and practical engineering, with impact extending to the design of porous structures and medical implants. Beyond her citation record, McMains is recognized for advancing computational tools that handle non-general position cases—a notoriously difficult problem—making her work indispensable for researchers tackling real-world geometric data. Her achievements underscore a career dedicated to making geometric algorithms both rigorous and applicable, solidifying her reputation as a key figure in modern computational geometry.
Research Focus
Key Achievements
Top Papers
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