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

Serial line db9 connector, Main Objectives of this connector is to allow fu...

Main Objectives of this connector is to allow full duplex communication between peripherals that uses such connector such PIC Demo board, ICD2 Debugger etc. The RS32 connector pin

#BLA, #BLA for slope greater and equal to 1

#BLA for slope greater and equal to 1

What is automatic data capture, Automatic Data Capture There are numero...

Automatic Data Capture There are numerous techniques available to collect data automatically without the need for manual entry. Manual entry is slower, more costly (need to emp

Non-zero accelerations - computer animation, Non-Zero Accelerations - Compu...

Non-Zero Accelerations - Computer Animation This method of simulating the motion is fairly helpful introducing the realistic displays of speed changes, particularly at the sta

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

Positive accelerations - computer animation, Positive Accelerations - Compu...

Positive Accelerations - Computer Animation So as to incorporate increasing speed in an animation the time spacing among the frames should increase, hence greater change in th

Key frames -traditional animation techniques, Key Frames -Traditional Anima...

Key Frames -Traditional Animation Techniques The senior artists go and draw the main frames of the animation, after a storyboard has been laid out. These main frames are frame

What are spot colours, Question 1: Name at least four file formats an...

Question 1: Name at least four file formats and explain in detail what they mean and how they are use? Question 2: What are "Process Colours"? Answer in a single para

Methods for drawing thick lines, Describe any two methods for drawing thick...

Describe any two methods for drawing thick lines. Two method for drawing thick lines are: (1) Using the line- width command: "setline width scale factor (iw)" Line width param

Cathode ray tube - graphics hardware, Cathode Ray Tube - Graphics Hardware ...

Cathode Ray Tube - Graphics Hardware Cathode Ray Tube: this is a refreshing display device. The idea of a refreshing display is depicted pictorially is given as: In fact

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