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Item Details
Title:
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A BLOSSOMING DEVELOPMENT OF SPLINES
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By: |
Stephen Mann, Brian Barsky |
Format: |
Paperback |
List price:
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£40.95 |
We currently do not stock this item, please contact the publisher directly for
further information.
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ISBN 10: |
1598291165 |
ISBN 13: |
9781598291162 |
Publisher: |
MORGAN & CLAYPOOL PUBLISHERS |
Pub. date: |
28 June, 1905 |
Series: |
Synthesis Lectures on Computer Graphics and Animation |
Pages: |
108 |
Description: |
Presents Bezier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems. The analysis tool used in this lecture is blossoming. Blossoming is used to explore both Bezier and B-spline curves. It also looks at triangle diagrams, direct manipulation of B-spline curves, and more. |
Synopsis: |
In this lecture, we study Bezier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems and are used to design aircraft and automobiles, as well as in modeling packages used by the computer animation industry. Bezier/B-splines represent polynomials and piecewise polynomials in a geometric manner using sets of control points that define the shape of the surface. The primary analysis tool used in this lecture is blossoming, which gives an elegant labeling of the control points that allows us to analyze their properties geometrically. Blossoming is used to explore both Bezier and B-spline curves, and in particular to investigate continuity properties, change of basis algorithms, forward differencing, B-spline knot multiplicity, and knot insertion algorithms. We also look at triangle diagrams (which are closely related to blossoming), direct manipulation of B-spline curves, NURBS curves, and triangular and tensor product surfaces. |
Illustrations: |
black & white illustrations |
Publication: |
US |
Imprint: |
Morgan & Claypool Publishers |
Returns: |
Non-returnable |
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Ramadan and Eid al-Fitr
A celebratory, inclusive and educational exploration of Ramadan and Eid al-Fitr for both children that celebrate and children who want to understand and appreciate their peers who do.
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