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

Area-subdivision method-computer graphics, Normal 0 false fal...

Normal 0 false false false EN-US X-NONE X-NONE

List out the merits and demerits of dvst, List out the merits and demerits ...

List out the merits and demerits of DVST?  The merits and demerits of direct view storage tubes [DVST] are as follows  It has a flat screen Refreshing of screen is

Raster and random scan display technologies, Raster and Random Scan Display...

Raster and Random Scan Display Technologies For display or printing graphics objects, various technologies have been invented. Research and development is still on for getting

What are the features of inkjet printers, What are the features of Inkjet p...

What are the features of Inkjet printers?  They can print 2 to 4 pages/minutes. Resolution is about 360d.p.i. Thus better print quality is achieved. The operating

Panning and zooming a component, Panning and zooming Components (such as yo...

Panning and zooming Components (such as your Polybounce or Animation) is simply a matter of reFrameing the world window. To pan right or left horizontally, one shifts it in the pos

Write c program which takes points as input from mouse click, Write a C pro...

Write a C program which takes points as input from mouse clicks (left button) and then performs an action.  Apply your program to generate a closed polygon as follows: Every time a

Lossy audio formats, Lossy Audio Formats: These are based on sound models ...

Lossy Audio Formats: These are based on sound models which eliminate audio data such humans cannot or can hardly hear, for example: a low volume sound after a large volume sound.

Sequence of steps to generate a full animation, Sequence of Steps to Genera...

Sequence of Steps to Generate a Full Animation The sequence of steps to generate a full animation would be as given below: 1)  Improve a script or story for the animation.

Parallel source and distributed light source, Parallel source and Distribut...

Parallel source and Distributed light source a) Parallel source: this is to be noted that while point source is at an infinite distance then light rays are parallel and func

What is 2d, Question 1 What is 2D? Explain method of converting 2D pattern...

Question 1 What is 2D? Explain method of converting 2D patterns into 3D images Question 2 Write about the following tools to create dart Create dart Multiply dar

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