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

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.

Sequence of steps to generate a full animation, Sequence of Steps to Genera...

Sequence of Steps to Generate a Full Animation The sequence of steps to generate a full animation would be as given below: 1)  Improve a script or story for the animation.

Types of bitmap images, Types of Bitmap Images Bitmap images can includ...

Types of Bitmap Images Bitmap images can include any number of colours but we distinguish among four main categories as: 1)      Line-art: These are images that include

Sound editing programs, Sound Editing Programs; Sound editing tools for bo...

Sound Editing Programs; Sound editing tools for both digitized and MIDI sound; by that you see music and also hear it. Through drawing a representation of a sound in fine growths,

Limitations of cohen sutherland line clipping algorithm, Limitations of Coh...

Limitations of Cohen Sutherland line clipping Algorithm The algorithm is merely applicable to rectangular windows and not to the other convex shaped window. Consequently, a

Object space - approaches for visible surface determination, Object Space -...

Object Space - approaches for visible surface determination The second approach as object-space that compares all objects directly along with each other inside the scene defin

Why Video Game Characters Look Better Today, what is the control for Why Vi...

what is the control for Why Video Game Characters Look Better Today

perform a perspective projection on the plane, Consider at line segment AB...

Consider at line segment AB in the Figure k, parallel to the z-axis along with end points A (3, 2, 4) and B (3, 2, 8). Perform a perspective projection on the z = 0 plane from the

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

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