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Author: Jan J. Koenderink
Publisher: Mit Press
ISBN: 9780262111393
Category : Computers
Languages : en
Pages : 699
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Book Description
Solid Shape gives engineers and applied scientists access to the extensive mathematical literature on three dimensional shapes. Drawing on the author's deep and personal understanding of three-dimensional space, it adopts an intuitive visual approach designed to develop heuristic tools of real use in applied contexts.Increasing activity in such areas as computer aided design and robotics calls for sophisticated methods to characterize solid objects. A wealth of mathematical research exists that can greatly facilitate this work yet engineers have continued to "reinvent the wheel" as they grapple with problems in three dimensional geometry. Solid Shape bridges the gap that now exists between technical and modern geometry and shape theory or computer vision, offering engineers a new way to develop the intuitive feel for behavior of a system under varying situations without learning the mathematicians' formal proofs. Reliance on descriptive geometry rather than analysis and on representations most easily implemented on microcomputers reinforces this emphasis on transforming the theoretical to the practical.Chapters cover shape and space, Euclidean space, curved submanifolds, curves, local patches, global patches, applications in ecological optics, morphogenesis, shape in flux, and flux models. A final chapter on literature research and an appendix on how to draw and use diagrams invite readers to follow their own pursuits in threedimensional shape.Jan J. Koenderinck is Professor in the Department of Physics and Astronomy at Utrecht University. Solid Shape is included in the Artificial Intelligence series, edited by Patrick Winston, Michael Brady, and Daniel Bobrow
Author: Jan J. Koenderink
Publisher: Mit Press
ISBN: 9780262111393
Category : Computers
Languages : en
Pages : 699
Get Book Here
Book Description
Solid Shape gives engineers and applied scientists access to the extensive mathematical literature on three dimensional shapes. Drawing on the author's deep and personal understanding of three-dimensional space, it adopts an intuitive visual approach designed to develop heuristic tools of real use in applied contexts.Increasing activity in such areas as computer aided design and robotics calls for sophisticated methods to characterize solid objects. A wealth of mathematical research exists that can greatly facilitate this work yet engineers have continued to "reinvent the wheel" as they grapple with problems in three dimensional geometry. Solid Shape bridges the gap that now exists between technical and modern geometry and shape theory or computer vision, offering engineers a new way to develop the intuitive feel for behavior of a system under varying situations without learning the mathematicians' formal proofs. Reliance on descriptive geometry rather than analysis and on representations most easily implemented on microcomputers reinforces this emphasis on transforming the theoretical to the practical.Chapters cover shape and space, Euclidean space, curved submanifolds, curves, local patches, global patches, applications in ecological optics, morphogenesis, shape in flux, and flux models. A final chapter on literature research and an appendix on how to draw and use diagrams invite readers to follow their own pursuits in threedimensional shape.Jan J. Koenderinck is Professor in the Department of Physics and Astronomy at Utrecht University. Solid Shape is included in the Artificial Intelligence series, edited by Patrick Winston, Michael Brady, and Daniel Bobrow
Author: Stuart J. Murphy
Publisher: HarperCollins Children's Books
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 40
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Book Description
While piloting his spaceship through the skies, Captain Invincible encounters three-dimensional shapes, including cubes, cylinders, and pyramids.
Author: Jennifer Boothroyd
Publisher: LernerClassroom
ISBN: 0822591987
Category : Mathematics
Languages : en
Pages : 16
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Book Description
SOLID SHAPES TEACHING GUIDE
Author: April Barth
Publisher: Benchmark Education Company
ISBN: 1608594130
Category : Juvenile Nonfiction
Languages : en
Pages : 20
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Book Description
You see solid shapes everywhere! Learn how to identify, name, and describe solid shapes.
Author: Jane Brocket
Publisher: Millbrook Press
ISBN: 0761372601
Category : Juvenile Nonfiction
Languages : en
Pages : 36
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Book Description
Diamonds, cubes, rings, and cylinders—shapes are all around us. How many shapes can you find pictured in this book?
Author: April Barth
Publisher: Benchmark Education Company
ISBN: 1608594203
Category : Mathematics
Languages : en
Pages : 20
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Book Description
Some solid shapes stack. Some solid shapes roll. Which solid shapes can you use to build?
Author: Richard Little
Publisher: Gareth Stevens Publishing LLLP
ISBN: 153821735X
Category : Juvenile Nonfiction
Languages : en
Pages : 26
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Book Description
It is not just important for young learners to master familiar shapes like triangles, circles, and squares. Recognizing and identifying two-dimensional ("flat") or three-dimensional ("solid") shapes is a geometry standard of Common Core math. This helpful book, written to be accessible for our youngest learners, allows readers to compare 2-D shapes with their 3-D counterparts, such as a circle and sphere. Photographs clearly illustrate the qualities that define each. Concluding questions help readers review geometric terms.
Author: Daniel Shepard
Publisher: Capstone
ISBN: 9780736852838
Category : Juvenile Nonfiction
Languages : en
Pages : 20
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Book Description
Presents different shapes, what they are called and where they can be found.
Author: Modpub Publishing
Publisher:
ISBN:
Category :
Languages : en
Pages : 82
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Book Description
coloring, Cut and Fold 3D shapes for kids Learn 2 dimensional and 3 dimensional shapes through fun shape characters. See examples of everyday objects that reflect the shapes. The ideal learning book for toddlers, children in preschool, kindergarten or a higher grade, for ages 2 through to 10 This fun and educational children's shapes picture book helps teach kids 2 and 3 dimensional shapes through fun shape characters and everyday objects.Find the suggested shape on the first page and then turn the page to reveal the answer to the picture puzzle.
Author: Lorraine Harrison
Publisher: The Rosen Publishing Group, Inc
ISBN: 1477716165
Category : Juvenile Nonfiction
Languages : en
Pages : 18
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Book Description
Our first encounters with math usually come through shapes. Geometry skills are learned from an early age, and readers build upon those first geometry lessons with topics like describing objects using the names of shapes, identifying both two-dimensional and three-dimensional shapes, and composing shapes. Readers are able to explore these essential concepts independently through accessible text and colorful images of both new and familiar shapes. Common two-dimensional and three-dimensional shapes are introduced in this volume, which adheres to standard K.G.A.3 of the Common Core State Standards for Mathematics. This book should be paired with "Is It Flat or Is It Solid?" (9781477720004) from the InfoMax Math Readers Program to provide the alternative point of view on the same topic.
