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

Reflection, Determine the transformation matrix for the reflection, Compute...

Determine the transformation matrix for the reflection, Computer Graphics

Trivial acceptance case of cohen sutherland line clippings, Trivial accepta...

Trivial acceptance case of cohen sutherland line clippings Case 1: it is Trivial acceptance case whether the UDLR bit codes of the end points P, Q of a provided line is 0000

Explain the merits and demerits of plasma panel display, Explain the merits...

Explain the merits and demerits of Plasma panel display. Advantages: Refreshing is not needed. Produce a very steady image free of Flicker. Less bulky than a CRT.

Determine about the liquid crystal display, Determine about the Liquid Crys...

Determine about the Liquid Crystal Display LCDs are organic molecules, naturally in crystalline state, and they get liquified when excited by heat or E field. Crystalline state

Introduction to computer graphics, Introduction To Computer Graphics ...

Introduction To Computer Graphics Early man employed drawings to communicate even before he learnt to communicate, write or count. Incidentally, these earliest hierogly

Differences, difference between vecgen and breshnam algorithm

difference between vecgen and breshnam algorithm

Is cad only helpful for design drawings, Question: Is CAD only helpful for ...

Question: Is CAD only helpful for design drawings? No. When true-scale, structurally valid drawings are the purpose for CAD's existence; it utilizes is as diverse as imagination

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