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

Objectives of 2-d viewing and clipping, Objectives of 2-D Viewing and Clipp...

Objectives of 2-D Viewing and Clipping After going through this section, you should be capable to: 1. Describe the concept of clipping, 2. Observe how line clipping is p

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.

Input and output devices - computer aided design, Input and Output Devices ...

Input and Output Devices - computer aided design Output and Input devices are quite significant for any software since an unsuitable selection of the concerned hardware may tu

Write short notes on active and passive transformations, Write short notes ...

Write short notes on active and passive transformations?  In the active transformation the points x and x| show different coordinates of the similar coordinate system. Here all

List of 3-d animation software, List of 3-D Animation Software Here is ...

List of 3-D Animation Software Here is a short list of several 3-D animation software are - Softimage ( Microsoft) -  Alias/Wavefront ( SGI) -  3D studia MAX (Autodesk

Digital & interactive media has been developed in 20th , Digital & Interact...

Digital & Interactive Media has been developed in 20th century: New media improve visual and verbal content. It doesn¹t replace earlier media. New media lets dynamic alteration of

Light pen - input and output devices, Light Pen - input and output devices ...

Light Pen - input and output devices It is a pointing device. This has a light sensitive tip that is excited while the light is emitted and an illuminated point upon the disp

Approaches to area filling - output primitives, Approaches to Area Filling ...

Approaches to Area Filling  Some other approaches to area filling are   Scan line polygon fill algorithm Boundary fill algorithm Flood fill algorithm.

Dda or digital differential analyzer algorithm, DDA or Digital Differential...

DDA or Digital Differential Analyzer Algorithm - Line generation algorithms From the above discussion we get that a Line drawing is accomplished through calculating intermedi

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