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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: 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: 1477716149
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.
Author: Jing Hua
Publisher: Academic Press
ISBN: 0128138424
Category : Computers
Languages : en
Pages : 152
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Book Description
Spectral Geometry of Shapes presents unique shape analysis approaches based on shape spectrum in differential geometry. It provides insights on how to develop geometry-based methods for 3D shape analysis. The book is an ideal learning resource for graduate students and researchers in computer science, computer engineering and applied mathematics who have an interest in 3D shape analysis, shape motion analysis, image analysis, medical image analysis, computer vision and computer graphics. Due to the rapid advancement of 3D acquisition technologies there has been a big increase in 3D shape data that requires a variety of shape analysis methods, hence the need for this comprehensive resource. Presents the latest advances in spectral geometric processing for 3D shape analysis applications, such as shape classification, shape matching, medical imaging, etc. Provides intuitive links between fundamental geometric theories and real-world applications, thus bridging the gap between theory and practice Describes new theoretical breakthroughs in applying spectral methods for non-isometric motion analysis Gives insights for developing spectral geometry-based approaches for 3D shape analysis and deep learning of shape geometry
Author: Daniel Shepard
Publisher: Capstone
ISBN: 9780736858533
Category : Juvenile Nonfiction
Languages : en
Pages : 24
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Book Description
Introduces young readers to the basic shapes of solid geometry.
