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

Interchange file format, IFF: It is Amiga Interchange File Format which is...

IFF: It is Amiga Interchange File Format which is used to transfer documents to and from Commodore Amiga Computers. This format is really flexible and permits images and text to b

Midpoint circle algorithm for scan converting a circle, Explain Bresenham s...

Explain Bresenham s circle drawing algorithm,  OR   Explain midpoint circle algorithm for scan converting a circle. Midpoint Circle Algorithm   1. Input radius r and circle

Polygon meshes - modeling and rendering, Polygon Meshes - Modeling and Rend...

Polygon Meshes - Modeling and Rendering A polygonal surface to be sketched may not be easy and may have enormous curls and curves. Illustration: a crushed piece of paper or cr

What is the real value, QUESTION (a) People want to know design pattern...

QUESTION (a) People want to know design patterns. i) What should their attitude be about design patterns? ii) How can people use design patterns to do a better job?

Non trivial case of cohen sutherland line clippings, Non Trivial Case of co...

Non Trivial Case of cohen sutherland line clippings Case: assume for the line segment PQ, both the trivial rejection and acceptance tests failed (that is, Case 1 and Case 2

Region filling, what is region filling? give details

what is region filling? give details

Methods of animation - computer animation, Methods of Animation - Computer ...

Methods of Animation - Computer Animation First method: in this, artist makes a succession of cartoon frames that are then combined in a film. Second method: in this,

Ray tracing - polygon rendering & ray tracing methods, Ray Tracing - Polygo...

Ray Tracing - Polygon Rendering & Ray Tracing Methods Ray tracing obeys all rays from the eye of the viewer back to the light sources. The method Ray tracing is very good at

Demerit - phong shading or normal vector interpolation shadi, Demerit - pho...

Demerit - phong shading or normal vector interpolation shading Needs lot of computations to determine intensity at a point, hence increases the cost of shading in any impleme

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