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

Features for good 3-dimentional modeling , Features for good 3-Dimentional ...

Features for good 3-Dimentional modeling software are as: Multiple windows which permit you to view your model in each dimension. Capability to drag and drop primitive

Associative links, Associative Links: it is a link that is completely inde...

Associative Links: it is a link that is completely independent of the exact structure of the information. For illustration we have links depends on the meaning of various informat

Acquire a transformation matrix for perspective projection, Acquire a trans...

Acquire a transformation matrix for perspective projection for a specified object projected onto x=3 plane as viewed by (5,0,0). Solution: Plane of projection: x = 3 as given.

Delta-delta arrangement and in-line arrangement, Delta-Delta Arrangement an...

Delta-Delta Arrangement and In-Line Arrangement There are two types of shadow masks available, delta-delta arrangement and in-line arrangement. The in-line arrangement refers t

Uniform b - spline curve, Uniform B - spline curve: When the spacing betwe...

Uniform B - spline curve: When the spacing between Knot values is constant, the resulting curve is called a uniform B- spline. Blending function for B- spline curves are defined b

Tones and tints, Q. What is the difference between tones and tints? Which o...

Q. What is the difference between tones and tints? Which one component of YIQ color model does black- and- white television use? How can you convert a ZTSC video signal to an RGB s

What colour depths are basically used, Q. What Colour depths are basically ...

Q. What Colour depths are basically used? Basically the number of colours are an exponential power of 2 as for Colour Depth n, colours can be showed. The most popular colour mo

Soft image and strata studio - computer animation, Soft Image and Strata ...

Soft Image and Strata Studio - Computer Animation SoftImage It is the one of most well known computer animation software packages. It is used in several top production

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