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 minimum amount of video ram, Consider a raster system with the ...

Consider a raster system with the resolution of 1024 x 768 pixels and the color palette calls for 65,536 colors. What is the minimum amount of video RAM that the computer must have

Matrix for orthographic projection, Matrix for Orthographic Projection ...

Matrix for Orthographic Projection Orthographic projections are projections into one of the coordinate planes x=0, y=0or z=0. The matrix for orthographic projection on the z=0

Utility purpose of display processor in the graphic system, Explain the uti...

Explain the utility and purpose of display processor in the graphic system.  The purpose of the display processor is to free the CPU from the graphics chores. A major task of the d

Transformation, determine the form of the transformation matrix for a refle...

determine the form of the transformation matrix for a reflection about an arbitrary line with equation y=mx+b.

State the technology used in lcd, State the technology used in LCD Some...

State the technology used in LCD Some passive matrix (Pixels are illuminated in scanline order like a raster display but  the lack of phospherescence causes flicker) LCDs have

Simulating accelerations - computer animation, Simulating Accelerations - C...

Simulating Accelerations - Computer Animation In previous block, we have seen the dominance and function of mathematics in computer graphics and now, we will undertake the invo

Interactive 3d computer graphics, Describe interactive model of computer gr...

Describe interactive model of computer graphics and application areas of interactive computer graphics.

Displacement mapping, Implement displacement mapping and bump mapping on a ...

Implement displacement mapping and bump mapping on a sphere. The displacement can be whatever your choice. The bump map can be whatever your choice as well.

Perform a x-direction shear transformation, 1. If you perform a x-direction...

1. If you perform a x-direction shear transformation and then a y-direction shear transformation, will the result be the same as the one which is obtained when it is simultaneous s

Introduction to computer graphics, Introduction To Computer Graphics ...

Introduction To Computer Graphics Early man employed drawings to communicate even before he learnt to communicate, write or count. Incidentally, these earliest hierogly

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