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

Cases for subdivisions of polygon-visible surface detection, Cases for Subd...

Cases for Subdivisions of Polygon No additional subdivisions of a particular area are desired, if one of the subsequent conditions is true as: Case 1: All the polygons ar

Low level techniques or motion specific, Low Level Techniques or Motion Spe...

Low Level Techniques or Motion Specific These techniques are utilized to control the motion of any graphic element in any animation scene completely. These techniques are also

Sutherland hodgman algorithm, Sutherland-Hodgman Algorithm Any polygon...

Sutherland-Hodgman Algorithm Any polygon of any type of arbitrary shape can be explained with the assist of some set of vertices connected with it. While we try to clip the po

Differentiate between z-buffer method and scan-line method, Differentiate b...

Differentiate between z-buffer method and scan-line method. What is the visibility test made in these methods? Solution : In depth buffer algorithm every pixel location on the

Math, what is the numerical numbers

what is the numerical numbers

Macintosh - hardware for computer animation, Macintosh - Hardware for compu...

Macintosh - Hardware for computer animation It was originally designed to be graphic and desktop publishing machines. Macs did not turn into which widely known till recently, a

Relationships between scaling and wavelet function spaces, QUESTION (a)...

QUESTION (a) Median filters do not cater for a dynamic range of pixels in a given area, S. Thus to ensure that no loss of image details occur in S, adaptive median filters coul

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