It takes the average reader to read Blossoming Development of Splines by Miguel A. Otaduy
Assuming a reading speed of 250 words per minute. Learn more
In this lecture, we study Bézier 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. Bézier/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 Bézier 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.
Blossoming Development of Splines by Miguel A. Otaduy is 0 pages long, and a total of 0 words.
This makes it 0% the length of the average book. It also has 0% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes to read Blossoming Development of Splines aloud.
Blossoming Development of Splines is suitable for students ages 2 and up.
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