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

Multimedia, Multimedia- It is a new aspect of literacy which is being recog...

Multimedia- It is a new aspect of literacy which is being recognized as technology expands the manner people communicate. The principle of literacy increasingly, is a measure of th

Bezier surfaces - modeling and rendering, Bezier Surfaces - Modeling and Re...

Bezier Surfaces - Modeling and Rendering Two sets of Bezier curve can be utilized to design an object surface by identifying by an input mesh of control points. The Bézier su

Accessories, Accessories : A Screen Grabber is a necessary accessory. Bitm...

Accessories : A Screen Grabber is a necessary accessory. Bitmap images are so common in multimedia, that it is important to have a tool for grabbing all or part of the screen disp

Side effects due to scan conversion, What are the side effects due to scan ...

What are the side effects due to scan conversion? How can the effects be minimized? Aliasing Effects (Side effects of scan conversion)   Scan conversion is essentially a syst

2d and 3d virtual environments , I need different convincing virtual enviro...

I need different convincing virtual environments (2D and 3D) that alter size perception. In particular, for 2D environment or background, when any object is augmented with the 2D e

What is the purpose of saving selections, Question 1: (a) Once a select...

Question 1: (a) Once a selection is made, what area of the image can be edited? (b) What is the purpose of saving selections? (c) How can you move a selection while you a

Describe the elements of design pattern, Question: (a) Using suitable ...

Question: (a) Using suitable examples, explain the following basic principles of design: (i) Proximity (ii) Repetition (iii) Contrast (iv) Alignment. (b) Color h

Explanation of light source by a luminance, Explanation of light source by ...

Explanation of light source by a luminance Explanation of any light source by a luminance the factors identified as: Light source explained by a luminance 1)   All color as

Animation, name some of the standard motion in key frames

name some of the standard motion in key frames

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