Gema M. Diaz–Toca
Papers
1
Total Citations
6
H-Index
1
About
Gema M. Diaz–Toca is a mathematician whose work bridges computational geometry, algebraic methods, and their applications in computer graphics and robotics. Her research focuses on developing efficient algorithms for geometric intersection and interference problems, particularly for ellipses and ellipsoids—shapes that are notoriously complex to handle due to their non-linear boundaries. In her most-cited paper, "Solving the interference problem for ellipses and ellipsoids: New formulae" (2022), she introduced novel algebraic formulations that simplify collision detection for these curved objects, offering a robust alternative to numerical approximations. This work has garnered 6 citations, reflecting its relevance in fields like computer-aided design and motion planning. Beyond this, Diaz–Toca has contributed to the study of resultants and polynomial systems, providing tools for exact geometric computations. Her achievements include advancing the theoretical foundations of intersection algorithms, which are critical for real-time simulations and virtual environments. For students and researchers, her work exemplifies how classical algebra can solve modern engineering challenges, making her a key figure in applied geometry.
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Top Papers
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