Jean Gallier is a name associated with several individuals and contexts, but one notable figure is a mathematician and computer scientist known for his work in areas such as applied mathematics, numerical analysis, and computer graphics. He has contributed to research in various fields, including shape representation and geometry processing.
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Jean Gallier is a computer scientist whose research connects mathematical foundations with computer programming and geometric applications. His earlier work includes formal verification, automated deduction and unification; his later interests include computer graphics, computer vision, robotics and the geometry of curves and surfaces.[ref]
His Curves and Surfaces in Geometric Modeling: Theory and Algorithms by Jean Gallier develops geometric constructions with explicit mathematical foundations. For example, its account of affine maps separates the geometry of points from the linear maps acting on displacement vectors, a distinction useful when describing transformations in computer graphics.[ref]
Curves and Surfaces in Geometric Modeling: Theory and Algorithms by Jean Gallier. Sections 2.4 and 2.7, affine constructions
Homepage: www.cis.upenn.edu/~jean/