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epub The Geometry Toolbox for Graphics and Modeling download

by Gerald Farin,Dianne Hansford

  • ISBN: 1568810741
  • Author: Gerald Farin,Dianne Hansford
  • ePub ver: 1916 kb
  • Fb2 ver: 1916 kb
  • Rating: 4.6 of 5
  • Language: English
  • Pages: 288
  • Publisher: A K Peters/CRC Press; 1 edition (August 1, 1998)
  • Formats: rtf mbr azw rtf
  • Category: Math
  • Subcategory: Mathematics
epub The Geometry Toolbox for Graphics and Modeling download

Practical Linear Algebra (PLA), by Farin and Hansford, uses geometry to motivate every single concept. Indeed the book presents many fine geometric insights.

Practical Linear Algebra (PLA), by Farin and Hansford, uses geometry to motivate every single concept. As the authors write in the preface, their objective is to present the material in an intuitive, geometric manner that will lead to retention of the ideas and methods. To give just one example, the geometric interpretation of Cramer’s rule (2 2 case) on page 90 is quite pleasing; each of the determinants is interpreted as the area of a certain parallelogram. I had not seen this before. I am all in favor of geometry.

Author Farin, Gerald . Farin, Gerald, Hansford, Dianne.

The Geometry Toolbox for Graphics and Modeling. ISBN13 9781568810744. Practical Linear Algebra. Subtitle A Geometry Toolbox.

Practical aspects, such as computer graphics topics and numerical strategies, are covered throughout, and thus students can build a "Geometry Toolbox," based on a geometric understanding of the key concepts. This book covers all the standard linear algebra material for a first-year course; the authors teach by motivation, illustration, and example rather than by using a theorem/proof style. Special Features: - Clear visual representations (more than 200 figures) for improved material comprehension

Through many examples and real-world applications, Practical Linear Algebra: A Geometry Toolbox, Third .

Gerald Farin, Dianne Hansford. The Geometry Toolbox takes a novel and particularly visual approach to teaching the basic concepts of two- and three-dimensional geometry. It explains the geometry essential for today's computer modeling, computer graphics, and animation systems. While the basic theory is completely covered, the emphasis of the book is not on abstract proofs but rather on examples and algorithms. The Geometry Toolbox is the ideal text for professionals who want to get acquainted with the latest geometric tools.

Автор: Farin Название: The Geometry Toolbox for Graphics and Modeling Издательство: Taylor&Francis . Two Lagrangian physics simulation and procedural 3D geometric modeling are developed in great detail.

Two Lagrangian physics simulation and procedural 3D geometric modeling are developed in great detail. Название: A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing ISBN: 1498706282 ISBN-13(EAN): 9781498706285 Издательство: Taylor&Francis Рейтинг

Gerald E. Farin (author), Dianne Hansford (author)

Gerald E. Farin (author), Dianne Hansford (author).

Download books for free. Special Features: Clear visual representations (more than 200 figures) for improved material comprehension. Hand-drawn sketches encourage students to create their own sketches when solving problems-developing another layer of learning. Numerous examples show applications to real-world problems. Problems at the end of each chapter allow students to test their understanding of the material presented

The Geometry Toolbox for Graphics and Modeling.

Improving the visual appearance of coarse triangle meshes is usually done with graphics hardware with per-pixel shading techniques. Improving the appearance at silhouettes is inherently hard, as shading has only a small influence there and the geometry must be corrected. The Geometry Toolbox for Graphics and Modeling.

The Geometry Toolbox for. has been added to your Cart. I had gone through a normal linear algebra course earlier, but when I needed to do a computer graphics class, I found out that my geometric understanding of linear algebra was weak. The professor then introduced me to this little jewel, which thoroughly lets you get a grip on the geometric aspects. Very recommended, but is now replaced by "Practical Linear Algebra: A Geometry Toolbox".

The Geometry Toolbox takes a novel and particularly visual approach to teaching the basic concepts of two- and three-dimensional geometry. It explains the geometry essential for today's computer modeling, computer graphics, and animation systems. While the basic theory is completely covered, the emphasis of the book is not on abstract proofs but rather on examples and algorithms. The Geometry Toolbox is the ideal text for professionals who want to get acquainted with the latest geometric tools. The chapters on basic curves and surfaces form an ideal stepping stone into the world of graphics and modeling. It is also a unique textbook for a modern introduction to linear algebra and matrix theory.
Comments (6)

FailCrew
Subject matter was acceptable since I bought it on reviews that accurately described the content.
What I have not seen until now is a book that looked like it was a bootleg copy made on a poorly run xerox machine from a pdf file with a questionable pedigree.
The text is faint and blurry, if not for the "commercial hard back cover", I would think it was a loose collection of pages being passed around some math resource center by students avoiding book fees who have copied the copies too often ..... disturbing overall.
Makes me want to compare with others to see if I have a counterfeit version.
Not a nice feeling to be left with.
tamada
I had gone through a normal linear algebra course earlier, but when I needed to do a computer graphics class, I found out that my geometric understanding of linear algebra was weak. The professor then introduced me to this little jewel, which thoroughly lets you get a grip on the geometric aspects. Very recommended, but is now replaced by "Practical Linear Algebra: A Geometry Toolbox".
elektron
For many topics, this book provides more thorough coverage for beginners than other books, and is a good resource for building up your intuition about vectors and matrices. Especially good is his discussion of matrices and operations on matrices such as gaussian elimination.
A few minor things I didn't like:
1. The whole book has a slightly "mathematical" slant, as opposed to a "geometric" slant. In other words, contrary to the title, this book is actually more about linear algebra (pure mathematics) than about geometry. For example, solving systems of equations, gaussian elimination, and the like, really don't have anything to do with geometry. Likewise, the notation is more "mathematical" than "geometric" - using e1, e2, and e3 for the basis vectors rather than x, y, and z like everybody else.
2. The book covers many topics very well in 2D - the problem is that it doesn't cover much in 3D. Some topics, of course, extend naturally from 2D into 3D and so detailed discussion isn't necessary. Other's topics dont. For example, orientation in 3D, left-handed vs. right-handed coordinate spaces, perspective projection and homegenous coordinates, quaternions. Coverage of these topics would have added a lot.
3. Other people seem to like the diagrams, but I didn't think they were that good. I think a better way to describe the diagrams is that the book has *more* diagrams than most other books, but not necessarily better ones. I personally don't like hand-drawn illustrations. And 3D diagrams needs to be rendering using shading and perspective foreshortening - schemtic-style isometric diagrams are difficult to interpret. Another example, all of the elementary geometric transformations were discussed by showing the effect of the transformation on an object. This is wonderful - most books don't do this! The only problem is that the object he choses to use is a confusing-looking circle thingy. Using a very simple object, such as a teapot would have been much better.
All-in-all, this book has some unique coverage and I would recommend it, especially for the discussion of matrices and transformations, and nested coordiante spaces. The books tends to spend time on more "purely mathematical" subject matter, which is not a bad thing, just a warning. The information on 3D topics is conspicuously lean, which is somewhat of a negative. However, I was pleased with my purchase and was able to look at several things from a different perspective.
Ynap
When I learn math I like to understand and be able to visualize the equation instead of memorizing it. This book does not bore you with equations and dry explanations; instead it gives you enough sketches and proofs to know how an equation comes about, and diagrams to explain the geometrical interpretation of the tools (matrix, eigenvalues, etc.) used regularly in computer graphics. For what it is intended to do, I doubt you can find one better than this. It really goes to show how much the authors understand the subject to be able to explain something so intuitively. I highly recommend this to people who are involved in computer graphics field and want to brush up on their math.
Brannylv
I teach computer graphics and this is the best treatment of transformation matrices for geometry I have seen. It is a little jewel. It also has a nice treatment of basic linear algebra in terms of geometric operations. My favorite part was the discussion of Cramer's rule and Gaussian Elimination in terms of geometry. A wonderful read, and I found the figures to be very helpful.
Мох
I've read quite a few math texts looking for an understanding of the math necessary for 3D graphics software. This was the first one that I was able to read straight through, like a novel. I highly recommend it for an understanding of 3D math. It has clear descriptions that build gradually.

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