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

Interactive Computer Graphics, Explain the different input modes used in in...

Explain the different input modes used in interactive computer graphics.

Perspective distortion - ray tracing methods , Perspective Distortion - Pol...

Perspective Distortion - Polygon Rendering and Ray Tracing Methods Anomalies are introduced since interpolation is performed after perspective transformation in the 3-D scree

3d graphics, Define hermite interpolation in deatail description with examp...

Define hermite interpolation in deatail description with example?

Axis of rotation - construction of a solid, Axis of Rotation - Construction...

Axis of Rotation - Construction of a solid with a translational sweep Figure:  (a)                                                                          Figure  (b)

Clip a line segment - cyrus beck line clipping algorithm, How does the Cyru...

How does the Cyrus Beck line clipping algorithm, clip a line segment whether the window is non convex? Solution : see the following figure 13, now the window is non-convex in s

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

Important points about the bezier curves, Important points about the bezier...

Important points about the bezier curves - modeling and rendering 1) Generalizing the idea of Bezier curve of degree at n based upon n+1 control point p0,.....pn P(0)= P 0

File formats that are used for vector data, File Formats that are used for ...

File Formats that are used for Vector Data This data can be saved in a wide variety of file formats are as: •EPS: the most well-accepted file format to exchange vector dra

Algorithms for filled-area primitives, Algorithms for filled-area primitive...

Algorithms for filled-area primitives These algorithms are classified into two categories (i)  Scan line algorithms (ii) Seed fill algorithms.

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