Application of the Monte Carlo Method and Complex Cross-Ratio in Traffic Accident Reconstruction

Abstract

This study presents an approach to estimate speeds in forensic traffic accident analyses, combining the Monte Carlo method with photogrammetric estimates based on complex cross-ratio. For practical application, a new software was developed in the R programming language using the Shiny library, providing an interactive web interface. The methodology was tested in a case study involving a scaled-down vehicle, where the estimated speeds were compared to those obtained with the Amped Five software, a market reference that uses two-dimensional photogrammetry. Statistical analysis, conducted with the Wilcoxon test, did not detect significant differences between the methods (p > 5%), thereby suggesting the methodology as a viable alternative for forensic investigations.

Keywords

Complex cross-ratio
projective geometry
uncertainty analysis
Razão cruzada complexa
geometria projetiva
análise de incertezas

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Author(s)

  • Carlo Ralph De Musis,
  • Ilias De Musis,
  • Bruno Martinis,
  • Tadeu Junior Gross,

    • Carlo Ralph De Musis

    POLITEC/MT

    Sou doutor em Educação pela Pontifícia Universidade Católica de São Paulo, mestre em Agricultura Tropical e engenheiro civil pela Universidade Federal de Mato Grosso. Atuo como orientador de mestrado e doutorado nos Programas de Estudos Pós-Graduados em Física Ambiental da Universidade Federal de Mato Grosso, e em Ciências Ambientais na Universidade de Cuiabá. Atuo também como perito criminal na área de Engenharia Legal da POLITEC/MT. Tenho-me dedicado a estudos e pesquisas multidisciplinares tendo como referentes estatística multivariada, teoria das representações sociais, avaliação de instituições de ensino superior, conforto ambiental, interação atmosfera-biosfera, modelagem por sistemas dinâmicos e física ambiental.

    Ilias De Musis

    Bruno Martinis

    Universidade de São Paulo, Ribeirão Preto (SP), Brasil

    Tadeu Junior Gross

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