@article{931690,
      recid = {931690},
      author = {Angeles, Jorge, and Pasini, Damiano.},
      title = {Fundamentals of geometry construction : the math behind  the CAD /},
      publisher = {Springer,},
      address = {Cham :},
      pages = {1 online resource (182 pages).},
      year = {2020},
      abstract = {The textbook provides both beginner and experienced CAD  users with the math behind the CAD. The geometry tools  introduced here help the reader exploit commercial CAD  software to its fullest extent. In fact, the book enables  the reader to go beyond what CAD software packages offer in  their menus. Chapter 1 summarizes the basic Linear and  Vector Algebra pertinent to vectors in 3D, with some  novelties: the 2D form of the vector product and the  manipulation of "larger" matrices and vectors by means of  block-partitioning of larger arrays. In chapter 2 the  relations among points, lines and curves in the plane are  revised accordingly; the difference between curves  representing functions and their geometric counterparts is  emphasized. Geometric objects in 3D, namely, points,  planes, lines and surfaces are the subject of chapter 3; of  the latter, only quadrics are studied, to keep the  discussion at an elementary level, but the interested  reader is guided to the literature on splines. The concept  of affine transformations, at the core of CAD software, is  introduced in chapter 4, which includes applications of  these transformations to the synthesis of curves and  surfaces that would be extremely cumbersome to produce  otherwise. The book, catering to various disciplines such  as engineering, graphic design, animation and architecture,  is kept discipline-independent, while including examples of  interest to the various disciplines. Furthermore, the book  can be an invaluable complement to undergraduate lectures  on CAD.},
      url = {http://library.usi.edu/record/931690},
      doi = {https://doi.org/10.1007/978-3-030-43},
}