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

Calculate the entropy of the source, Question 1) Encode the following s...

Question 1) Encode the following string using HUFFMAN ENCODING:                            DO YOU LIKE TINKY WINKY OR EMPTY DUMPTY?     Empty spaces are considered.

Production of animation , Historical and traditional methods for productio...

Historical and traditional methods for production of animation                                              Definition: Computer animation is a time depends phenome

Assumptions for polygon or area clipping algorithm, Assumptions for Polygon...

Assumptions for Polygon or Area Clipping Algorithm Assumption: The viewport and window are rectangular. So only, by identifying the maximum and the minimum coordinates t

What is the purpose behind the staircase effect, 1. What is the purpose be...

1. What is the purpose behind the Staircase effect? Ans. The approximation concerned in the calculation for finding of pixel position concerned in the display of lines and th

Write a code to continuously rotate square about pivot point, Write a code ...

Write a code to continuously rotate a square about a pivot point.    #include   static GLfloat rotat=0.0;   void init(void); void display(void); void reshape(int w

Overview of hardware primitives, Overview of Hardware Primitives With t...

Overview of Hardware Primitives With the advancement of computer technology, computer graphics has become a practical tool used in real life applications in diverse areas such

Scan conversion - 2d shape primitives, Scan conversion: For display of...

Scan conversion: For display of a continuously defined object, a method to map a continuous abstract object or shape into a discrete plane of computer display is needed.  This

B splines, What is uniform rational splines

What is uniform rational splines

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