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

Drawing program with object- oriented design, For this assignment, you will...

For this assignment, you will add to the drawing program new features that are similar to features that you already have. Apply object-oriented design concepts such as inheritance

Distinguish between window port and view port, Distinguish between window p...

Distinguish between window port & view port?  A portion of a picture that is to be displayed by a window is called as window port. The display area of the part selected or the f

Enumerate the use of data goggles- virtual reality, Enumerate the use of Da...

Enumerate the use of Data goggles- Virtual Reality Data goggles/helmets - These use optical systems and display screens which send 3D images to the eyes. Motion sensors mea

Two kinds of video tele conference systems, There are mostly two kinds of V...

There are mostly two kinds of Video Tele Conference systems: 1) Desktop systems are add-ons to normal PC's, transforming them in Video Tele Conference devices. A range of variou

Illustration of bezier curves - modeling and rendering, To prove ‾P (1) = p...

To prove ‾P (1) = p n Solution : since in the above case we determine each term excluding B n,n (u) will have numerous of (1 - u) i (i = 0 to n) consequently by using u = 1

What is fixed point scaling, What is fixed point scaling?  The location...

What is fixed point scaling?  The location of a scaled object can be controlled by a position known as the fixed point that is to remain unchanged after the scaling transformat

You, are you a robot

are you a robot

Distinguish between bitblt and pixblt, Distinguish between bitBlt and pixBl...

Distinguish between bitBlt and pixBlt?  Raster functions that manipulate rectangular pixel arrays are usually referred to as raster ops. Moving a block of pixels from one locat

Application of coherence in visible surface detection method, explainapplic...

explainapplication of coherence in visible surface detection method

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