Importance of perspective transformation in computer graphics
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Written mostly in 2005 (although some of the material comes from old class notes), the book consists of four chapters, three appendixes (vector products, quaternions, and color figures), answers to exercises, a bibliography, and index.
There is no question that computer graphics has become an important field that pervades our lives in many areas. Many advertisements on television and in magazines are graphical and are created on computers. The screens of computers, PDAs, cellular telephones, and similar devices interact graphically with the user. More and more full-length feature films are being created entirely by computers. Graphics software enables users to draw engineering plans, to create technical and artistic illustrations, and to develop fonts of text.
Computer graphics is an immense discipline, encompassing many fields, but this book concentrates on the three key terms Transformation, Projection, and Perspective. Following is a short discussion of each term.
The term ``transformation'' as discussed in this book refers to a geometric operation applied to all the points of an object. An object may be moved, rotated, or scaled (shrunk or stretched). It may be reflected about a plane (as in a mirror) or deformed in some way, as illustrated by Figures Intro.1 and 1.1. Several transformations may be combined and may completely change the position, orientation, and shape of the object. Many graphics operations are greatly simplified with the help of transformations. A forest can be created from a single tree by duplicating the tree several times and moving and transforming each copy differently. An object can be animated by moving it along a path in small steps while also rotating and scaling
There is no question that computer graphics has become an important field that pervades our lives in many areas. Many advertisements on television and in magazines are graphical and are created on computers. The screens of computers, PDAs, cellular telephones, and similar devices interact graphically with the user. More and more full-length feature films are being created entirely by computers. Graphics software enables users to draw engineering plans, to create technical and artistic illustrations, and to develop fonts of text.
Computer graphics is an immense discipline, encompassing many fields, but this book concentrates on the three key terms Transformation, Projection, and Perspective. Following is a short discussion of each term.
The term ``transformation'' as discussed in this book refers to a geometric operation applied to all the points of an object. An object may be moved, rotated, or scaled (shrunk or stretched). It may be reflected about a plane (as in a mirror) or deformed in some way, as illustrated by Figures Intro.1 and 1.1. Several transformations may be combined and may completely change the position, orientation, and shape of the object. Many graphics operations are greatly simplified with the help of transformations. A forest can be created from a single tree by duplicating the tree several times and moving and transforming each copy differently. An object can be animated by moving it along a path in small steps while also rotating and scaling
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