LEADER 03866nam 22005895 450 001 9910392745403321 005 20200703003740.0 010 $a3-030-43131-2 024 7 $a10.1007/978-3-030-43131-0 035 $a(CKB)4100000011223393 035 $a(MiAaPQ)EBC6181501 035 $a(DE-He213)978-3-030-43131-0 035 $a(PPN)243762372 035 $a(EXLCZ)994100000011223393 100 $a20200418d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFundamentals of Geometry Construction$b[electronic resource] $eThe Math Behind the CAD /$fby Jorge Angeles, Damiano Pasini 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (182 pages) 225 1 $aSpringer Tracts in Mechanical Engineering,$x2195-9862 311 $a3-030-43130-4 320 $aIncludes bibliographical references and index. 327 $aIntroduction to Geometry Construction -- 2D Objects -- 3D Objects -- Affine Transformations. 330 $aThe textbook provides both beginner and experienced CAD users with the math behind the CAD. The geometry tools introduced here help the reader exploit commercial CAD software to its fullest extent. In fact, the book enables the reader to go beyond what CAD software packages offer in their menus. Chapter 1 summarizes the basic Linear and Vector Algebra pertinent to vectors in 3D, with some novelties: the 2D form of the vector product and the manipulation of ?larger" matrices and vectors by means of block-partitioning of larger arrays. In chapter 2 the relations among points, lines and curves in the plane are revised accordingly; the difference between curves representing functions and their geometric counterparts is emphasized. Geometric objects in 3D, namely, points, planes, lines and surfaces are the subject of chapter 3; of the latter, only quadrics are studied, to keep the discussion at an elementary level, but the interested reader is guided to the literature on splines. The concept of affine transformations, at the core of CAD software, is introduced in chapter 4, which includes applications of these transformations to the synthesis of curves and surfaces that would be extremely cumbersome to produce otherwise. The book, catering to various disciplines such as engineering, graphic design, animation and architecture, is kept discipline-independent, while including examples of interest to the various disciplines. Furthermore, the book can be an invaluable complement to undergraduate lectures on CAD. 410 0$aSpringer Tracts in Mechanical Engineering,$x2195-9862 606 $aEngineering design 606 $aComputer-aided engineering 606 $aAlgebraic geometry 606 $aEngineering Design$3https://scigraph.springernature.com/ontologies/product-market-codes/T17020 606 $aComputer-Aided Engineering (CAD, CAE) and Design$3https://scigraph.springernature.com/ontologies/product-market-codes/I23044 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 615 0$aEngineering design. 615 0$aComputer-aided engineering. 615 0$aAlgebraic geometry. 615 14$aEngineering Design. 615 24$aComputer-Aided Engineering (CAD, CAE) and Design. 615 24$aAlgebraic Geometry. 676 $a620.004250285 700 $aAngeles$b Jorge$4aut$4http://id.loc.gov/vocabulary/relators/aut$041840 702 $aPasini$b Damiano$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910392745403321 996 $aFundamentals of Geometry Construction$92518720 997 $aUNINA