NDLI: Coordinate-Free Formulas for Afﬁne and Projective Transformations

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Coordinate-Free Formulas for Afﬁne and Projective Transformations

Content Provider	Scilit
Author	Goldman, Ronald
Copyright Year	2009
Description	Computer Graphics in two dimensions is grounded on simple transformations of the plane. Turtle Graphics and LOGO are based on conformal transformations; Afﬁne Graphics and CODO on afﬁne transformations. The turtle uses translation, rotation, and uniform scaling to navigate on the plane, and traces of the turtle's path generate a wide variety of shapes, ranging from simple polygons to complex fractals. Afﬁne Graphics uses afﬁne transformations to position, orient, and scale objects as well as to model shape. The vertices of simple ﬁgures like polygons and stars are typically positioned using translation and rotation; ellipses are generated by scaling circles nonuniformly along preferred directions; fractals are built using iterated function systems. Book Name: An Integrated Introduction to Computer Graphics and Geometric Modeling
Related Links	https://content.taylorfrancis.com/books/download?dac=C2009-0-03704-4&isbn=9780429165719&doi=10.1201/9781439803356-18&format=pdf
Ending Page	208
Page Count	16
Starting Page	193
DOI	10.1201/9781439803356-18
Language	English
Publisher	Informa UK Limited
Publisher Date	2009-07-14
Access Restriction	Open
Subject Keyword	Book Name: An Integrated Introduction To Computer Graphics and Geometric Modeling Artificial Intelligence Software Engineering Function Model Fractals Graphics Rotation Polygons Conformal Turtle Plane Afne
Content Type	Text
Resource Type	Chapter

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