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

List out the various text clipping, List out the various Text clipping?  ...

List out the various Text clipping?  All-or-none string clipping -if all of the string is inside a clip window, keep it or else discards. All-or-none character clipping - disca

Odd-even rule and non-zero winding number rule, What is the difference betw...

What is the difference between odd-even rule and non-zero winding number rule to identify interior regions of an object? Develop an algorithm for a recursive method for filling a 4

Graphics applications, The subsequent are also considered graphics applicat...

The subsequent are also considered graphics applications as: • Paint Programs: Permit you to create rough freehand drawings. The images are saved as bit maps and can simply be

Deffrent, deffrent between vecgen algorithm and bresenham line algorithm in...

deffrent between vecgen algorithm and bresenham line algorithm in computer graphic

Application in image capture formats, Application Interlacing is utiliz...

Application Interlacing is utilized through all the analogue TV broadcast systems in recent use as: NTSC: 59.94 fields per second, 525 lines, still field drawn first

Question, what are the steps involved in 3d transformation explain

what are the steps involved in 3d transformation explain

Graphic file compression formats, Graphic File Compression Formats Web...

Graphic File Compression Formats Web graphics are by requirement compressed due to the bandwidth issues surrounding networked delivery of information and since image files inc

Two-dimensional geometric transformations, Two-Dimensional Geometric Transf...

Two-Dimensional Geometric Transformations  When a real life object is modelled using shape primitives, there are several possible applications.  You may be required to do furth

Representational animation - computer animation, Representational Animation...

Representational Animation - Computer Animation This method permits an object to change its shape throughout the animation. There are three sub-types to this. The initial is th

Flash - software to generate computer animations, Flash - software to gener...

Flash - software to generate computer animations Flash: Learning Macro-Media's Flash can quite complicated, although you can do almost anything along with it. You can devel

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