B-spline curves - uniform b-splines and de boor algorithm, Computer Graphics

Assignment Help:

B-spline curves are piecewise smooth polynomial curves. 

  • B-spline curves are defined over an interval which has been partitioned into sub-intervals. On each subinterval B-spline curve reduces to a polynomial curve. The curve pieces are joined in such a way that the composite curve satisfies certain smoothness conditions specified in terms of matching of derivatives of certain orders. Points defining the partition of the interval are called knots or knot points. This is because at this common domain point of the interval, two polynomial curve segments are joined to make the composite curve.
  • B-spline curves as well as blending functions are computed using the iterative de Boor algorithm.
  • B-splines satisfy the important properties suitable for geometric modellling in computer Graphics. Some of these include (i) local control (ii) smoothness (iii) degree of spline curve does not depend on the number of control points (iv) convex hull property (v) convenient blending functions.
  • Uniform B-splines are B-spline curves with uniform spacing between the knots.
  • Uniform B-splines give periodic blending functions. This means all blending functions are translated versions of a single B-spline.

Related Discussions:- B-spline curves - uniform b-splines and de boor algorithm

Ellipse generation algorithm - 2d shape primitives, Ellipse Generation Algo...

Ellipse Generation Algorithm  You know that a circle is symmetric in all the octants, while ellipse is symmetric with respect to four quadrants.  Therefore, to draw an ellipse,

De casteljeau algorithm - bezier curves, De Casteljeau algorithm: The cont...

De Casteljeau algorithm: The control points P 0 , P 1 , P 2 and P 3 are combined with line segments termed as 'control polygon', even if they are not actually a polygon although

Color Histograms - Scene Categories, How can I perform feature extraction o...

How can I perform feature extraction on images of different classes? How to obtain a vector of each class that contains its features?

Two modes of operation of tablets - cad and cam, Two Modes of Operation of ...

Two Modes of Operation of Tablets Tablets typically sustain two modes of operation as: 1)  Digitizer Mode: creates a one-for-one connection between screen and tablet.

What is meant by addressability, What is meant by Addressability? Ans. ...

What is meant by Addressability? Ans. Addressability is the number of individual dots per inch (d.p.i.) that can be formed. If the address of the current dot is (x, y) then the

Translate a triangle and scale it in coordinate direction, Translate a tria...

Translate a triangle and scale it in each coordinate direction Consider a triangle with vertices in 2D plane given by (0, 0), (1, 0) and (0,1) (called unit triangle).  Translat

Write a c code for generating concentric circles, Write a C code for genera...

Write a C code for generating concentric circles.  Put the circle function circleMidpoint()in a for loop  as follows: for( int radius = MinRadius; radius circleMidpoint(i

Objectives of three dimensional transformations, Objectives  of Three dimen...

Objectives  of Three dimensional transformations explain basic 3D transformations-translation, rotation, scaling, shear and reflections-applied to objects in space; ex

Sutherland hodgeman polygon clipping algorithm, What is clipping? Explain S...

What is clipping? Explain Sutherland Hodgeman polygon clipping algorithm with example.  OR Write the algorithm for Sutherland Hodgeman Polygon. Beginning with the initial set of p

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd