Abstract
Vector field is mostly linearly approximated for the purpose of classification and description. This approximation gives us only basic information of the vector field. We will show how to approximate the vector field with second order derivatives, i.e. Hessian and Jacobian matrices. This approximation gives us much more detailed description of the vector field. Moreover, we will show the similarity of this approximation with conic section formula.
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Acknowledgments
The authors would like to thank their colleagues at the University of West Bohemia, Plzen, for their comments and suggestions, their valuable comments and hints provided. The research was supported by projects Czech Science Foundation (GACR) No. 17-05534S and partly by SGS 2016-013.
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Smolik, M., Skala, V. (2017). Vector Field Second Order Derivative Approximation and Geometrical Characteristics. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2017. ICCSA 2017. Lecture Notes in Computer Science(), vol 10404. Springer, Cham. https://doi.org/10.1007/978-3-319-62392-4_11
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DOI: https://doi.org/10.1007/978-3-319-62392-4_11
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