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

Illumination model - polygon rendering & ray tracing methods, Illumination ...

Illumination Model - Polygon rendering and ray tracing methods Theoretically illumination is exposure of a thing to the light that contributes to light reflected by an object

Production of animation , Historical and traditional methods for productio...

Historical and traditional methods for production of animation                                              Definition: Computer animation is a time depends phenome

Raster and random scan display technologies, Raster and Random Scan Display...

Raster and Random Scan Display Technologies For display or printing graphics objects, various technologies have been invented. Research and development is still on for getting

Two-dimensional geometric transformations, Two-Dimensional Geometric Transf...

Two-Dimensional Geometric Transformations  When a real life object is modelled using shape primitives, there are several possible applications.  You may be required to do furth

Explain the term- control, Explain the term- Control Traffic lights (co...

Explain the term- Control Traffic lights (controlling the sequence of lights to maintain optimum traffic flow), chemical and nuclear plants (opening and closing valves, safety

Frame buffers - graphics hardware, Frame Buffers - Graphics Hardware ...

Frame Buffers - Graphics Hardware The storage region in a raster scan display system is set as a two-dimensional table. All row-column entry stores information as brightness

Radiosity - polygon rendering & ray tracing methods, Radiosity - Polygon Re...

Radiosity - Polygon Rendering & Ray Tracing Methods Radiosity simulates the diffuse propagation of light begin at the light sources. Because global illumination is an extremel

Transformation, Define transformation. Explain all basic transformation

Define transformation. Explain all basic transformation

Bitmap graphics, Bitmap Graphics: The information below illustrates bitmap...

Bitmap Graphics: The information below illustrates bitmap data. Bitmap images are a set of bits that form an image. The image comprises a matrix of individual dots or pixels wh

Jas file formats, JAS: The JAS file formats were implemented to form the s...

JAS: The JAS file formats were implemented to form the smallest possible picture files for 24bits per pixel image and 8 bit per pixel gray scaled pictures. This uses a discrete co

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