Skip to content

Computational Line Geometry
Stock Photo: Cover May Be Different

Computational Line Geometry Hardcover - 2001 - 2001st Edition

by Helmut Pottmann; Johannes Wallner


From the publisher

From the reviews:

MATHEMATICAL REVIEWS

"In this book, the authors have combined results from the classical parts of geometry with computational methods, This results in a unique and fascinating blend, which is shown to be useful for a variety of applications, including robotics, geometrical optics, computer animation, and geometric design. The contents of the book are visualized by a wealth of carefully chosen illustrations, making the book a shear pleasure to read, or even to just browse in. The book will help to bring the concepts and techniques of line geometry...to the attention of a wider audience."

First line

From the rear cover

The geometry of lines occurs naturally in such different areas as sculptured surface machining, computation of offsets and medial axes, surface reconstruction for reverse engineering, geometrical optics, kinematics and motion design, and modeling of developable surfaces. This book covers line geometry from various viewpoints and aims towards computation and visualization. Besides applications, it contains a tutorial on projective geometry and an introduction into the theory of smooth and algebraic manifolds of lines. It will be useful to researchers, graduate students, and anyone interested either in the theory or in computational aspects in general, or in applications in particular.

From the reviews:

"The authors have combined results from the classical parts of geometry with computational methods. This results in a unique and fascinating blend, which is shown to be useful for a variety of applications, including robotics, geometrical optics, computer animation, and geometric design. The contents of the book are visualized by a wealth of carefully chosen illustrations, making the book a sheer pleasure to read, or even just browse in. The book will help to bring the concepts and techniques of line geometry, which have been shown to be useful for various applications in geometric design and engineering, to the attention of a wider audience."

B.Jttler, MATHEMATICAL REVIEWS Clippings 2002f

"...There is a vast amount of fascinating geometry of all sorts in this book. The topics are perhaps somewhat eclectic - they mirror the primary interests of the authors - but, because the motivation is to develop the geometry that applies to real world problems, the subject is far from monolithic and is open to interpretation. The ideas here build up layer upon layer. In the end, the authors have been mostly successful in sustaining their central theme, despite the need to weave together projective, differential, algebraicand metric geometry. They have also presented the mathematics in a predominantly modern way. That is important because there exist in the engineering literature archaeological remnants of outdated notation and concepts. [....] The large number (264) of line diagrams are of very good quality and considerably enhance one's understanding. [...] a book which is without doubt an important contribution to this growing branch of geometrical research."

P. Donelan - New Zealand Mathematical Society Newsletter 87, 2003

"... Overall I recommend this text to anyone who wants to learn about line geometry, projective geometry and the geometric side of some algebra. The book fills a niche that has been neglected for long and should benefit researchers interested in geometric methods. ... It covers a body of knowledge that is underrepresented in the literature and deserves to be known more widely. The authors wrote a clearly developed and beautifully illustrated book that fills a gaping hole in the contemporary literature."

ACM SIGACT News 36:3, 2005

Details

  • Title Computational Line Geometry
  • Author Helmut Pottmann; Johannes Wallner
  • Binding Hardcover
  • Edition number 2001st
  • Edition 2001
  • Pages 564
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 2001-06-20
  • Illustrated Yes
  • Features Illustrated
  • ISBN 9783540420583 / 3540420584
  • Weight 2.16 lbs (0.98 kg)
  • Dimensions 9.42 x 6.32 x 1.04 in (23.93 x 16.05 x 2.64 cm)
  • Library of Congress Catalog Number 2001040054
  • Dewey Decimal Code 516.183
Back to Top

More Copies for Sale

Computational Line Geometry
Stock Photo: Cover May Be Different

Computational Line Geometry

by Helmut Pottmann, Johannes Wallner

  • Used
  • Very Good
Condition
Used - Very Good
ISBN 10 / ISBN 13
9783540420583 / 3540420584
Quantity Available
1
Seller
Berkeley, California, United States
Seller rating:
This seller has earned a 5 of 5 Stars rating from Biblio customers.
Item Price
A$99.16
A$8.39 shipping to USA

Show Details

Description:
Springer, 2001. Hard cover. Very good/No jacket. Very good, clean condition other than previous owner's name on inside front cover and one small bibliographical note on title page. Good binding.
Item Price
A$99.16
A$8.39 shipping to USA
Computational Line Geometry
Stock Photo: Cover May Be Different

Computational Line Geometry

by Wallner, Johannes

  • Used
Condition
Used
ISBN 10 / ISBN 13
9783540420583 / 3540420584
Quantity Available
1
Seller
San Casciano V.P., Italy
Seller rating:
This seller has earned a 5 of 5 Stars rating from Biblio customers.
Item Price
A$234.42
A$34.81 shipping to USA

Show Details

Description:
Heidelberg: Springer-Verlag KG, 2001. Heidelberg, 2001; ril., pp. 563, cm 24x16,5.
Item Price
A$234.42
A$34.81 shipping to USA
Computational Line Geometry
Stock Photo: Cover May Be Different

Computational Line Geometry

by Pottmann, Helmut

  • Used
Condition
UsedVeryGood
ISBN 10 / ISBN 13
9783540420583 / 3540420584
Quantity Available
1
Seller
Skokie, Illinois, United States
Seller rating:
This seller has earned a 5 of 5 Stars rating from Biblio customers.
Item Price
A$254.09
A$6.09 shipping to USA

Show Details

Description:
UsedVeryGood.
Item Price
A$254.09
A$6.09 shipping to USA
Computational Line Geometry
Stock Photo: Cover May Be Different

Computational Line Geometry

by Pottmann, Helmut/ Wallner, Johannes

  • New
  • Hardcover
Condition
New
Binding
Hardcover
ISBN 10 / ISBN 13
9783540420583 / 3540420584
Quantity Available
2
Seller
Exeter, Devon, United Kingdom
Seller rating:
This seller has earned a 4 of 5 Stars rating from Biblio customers.
Item Price
A$436.76
A$19.48 shipping to USA

Show Details

Description:
Springer Verlag, 2001. Hardcover. New. 1st edition. 575 pages. German language. 9.50x6.50x1.25 inches.
Item Price
A$436.76
A$19.48 shipping to USA