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

Reflection about a line - 2-d and 3-d transformations, Reflection about a L...

Reflection about a Line - 2-D and 3-D Transformations Reflection is a transformation that produces the mirror image of an object. Since we discussed that the mirror reflection

Define coherence properties, Define coherence properties?  A coherence ...

Define coherence properties?  A coherence property of a scene is a part of a scene by which relate single part of the scene with the other parts of the scene.

Languge, what languge do computers speak

what languge do computers speak

Write a c-code that plots an object on the window, Write a C-code that plot...

Write a C-code that plots an object on the window and on the user's click of mouse on the window, the object starts rotating continuously until the user presses the mouse again.

X-shear regarding the origin - 2-d and 3-d transformations, X-shear Regardi...

X-shear Regarding the Origin - 2-d and 3-d transformations Suppose an object point P(x,y) be moved to P'(x',y') in the x-direction, via the given scale parameter 'a',that is,

Common principles of ray tracing, Common Principles of Ray Tracing Bas...

Common Principles of Ray Tracing Based upon the nature or attributes of the surface given by the user, the subsequent effects are implemented, as per to rules of optics:  a

Color histogram, A color histogram is a representation of the distribution ...

A color histogram is a representation of the distribution of colors in an image. For digital images, a color histogram represents the number of pixels that have colors in each of a

Give three ways to display a panel, QUESTION (a) Give some ways you can...

QUESTION (a) Give some ways you can change the magnification of a document? (b) Give three ways to display a panel? (c) Identify the differences between Selection tool an

Scan conversion - 2d shape primitives, Scan conversion: For display of...

Scan conversion: For display of a continuously defined object, a method to map a continuous abstract object or shape into a discrete plane of computer display is needed.  This

Graphics hardware - computer aided design, Graphics Hardware - Computer aid...

Graphics Hardware - Computer aided Design Despite with which advance graphic software you are working along with, if your output device is not well or hardware handling which

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