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

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

Distinguish between mono and stereo sound, Problem: (a) Distinguish be...

Problem: (a) Distinguish between mono and stereo sound? (b) Calculate the size of a 5 minutes mono sound file of CD quality and with a 16 -bit rate. (c) With reference

Overstriking, why overstriking is harmful.justify

why overstriking is harmful.justify

Advantages of scan line algorithm, Advantages of Scan line Algorithm:  ...

Advantages of Scan line Algorithm:   This time and always we are working along with one-dimensional array as: x[0...x_max] for color not a 2D-array like in Z-buffer algorithm.

Key frame systems - computer animation, Key Frame Systems - computer animat...

Key Frame Systems - computer animation This method is for low-level motion control. In fact these systems comprise languages that are designed simply to produce the in-between

Hue and saturation, Hue and Saturation: A light source produced by a sun o...

Hue and Saturation: A light source produced by a sun or electric bulb emits all frequencies within the visible range to give white light. When this light is incident upon an objec

Gks, explain about gks

explain about gks

Relation between polar coordinate and cartesian system, Relation between po...

Relation between polar coordinate system and Cartesian system A frequently utilized non-cartesian system is Polar coordinate system. The subsequent figure A demonstrates a pol

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