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Fundamentals of Geometry Construction
The Math Behind the CAD
Buch von Damiano Pasini (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
Jorge Angelesis professor at the Department of Mechanical Engineering and at the Centre for Intelligent Machines at McGill University, Montreal, Canada.
Zusammenfassung

Includes exercises at the end of each chapter

Topics and items usually left out in undergraduate math courses are brought into the

Provides a few suggested readings for the benefit of instructors and students

Inhaltsverzeichnis
Introduction to Geometry Construction.- 2D Objects.- 3D Objects.- Affine Transformations.
Details
Erscheinungsjahr: 2020
Fachbereich: Fertigungstechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 188
Reihe: Springer Tracts in Mechanical Engineering
Inhalt: xx
168 S.
60 s/w Illustr.
49 farbige Illustr.
168 p. 109 illus.
49 illus. in color.
ISBN-13: 9783030431303
ISBN-10: 3030431304
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Pasini, Damiano
Angeles, Jorge
Auflage: 1st ed. 2020
Hersteller: Springer International Publishing
Springer International Publishing AG
Springer Tracts in Mechanical Engineering
Maße: 241 x 160 x 16 mm
Von/Mit: Damiano Pasini (u. a.)
Erscheinungsdatum: 18.04.2020
Gewicht: 0,453 kg
preigu-id: 118023321
Über den Autor
Jorge Angelesis professor at the Department of Mechanical Engineering and at the Centre for Intelligent Machines at McGill University, Montreal, Canada.
Zusammenfassung

Includes exercises at the end of each chapter

Topics and items usually left out in undergraduate math courses are brought into the

Provides a few suggested readings for the benefit of instructors and students

Inhaltsverzeichnis
Introduction to Geometry Construction.- 2D Objects.- 3D Objects.- Affine Transformations.
Details
Erscheinungsjahr: 2020
Fachbereich: Fertigungstechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 188
Reihe: Springer Tracts in Mechanical Engineering
Inhalt: xx
168 S.
60 s/w Illustr.
49 farbige Illustr.
168 p. 109 illus.
49 illus. in color.
ISBN-13: 9783030431303
ISBN-10: 3030431304
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Pasini, Damiano
Angeles, Jorge
Auflage: 1st ed. 2020
Hersteller: Springer International Publishing
Springer International Publishing AG
Springer Tracts in Mechanical Engineering
Maße: 241 x 160 x 16 mm
Von/Mit: Damiano Pasini (u. a.)
Erscheinungsdatum: 18.04.2020
Gewicht: 0,453 kg
preigu-id: 118023321
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