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

Uses for gif and jpeg files, Uses for GIF and JPEG Files: Microsoft I...

Uses for GIF and JPEG Files: Microsoft Internet Explorer, Netscape Navigator and most the other browsers maintain both JPEG and GIF graphics. Theoretically, you could util

Images - systems research group, The image you have been given for contour ...

The image you have been given for contour extraction is shown in Figure 1. The method for constructing the search space is shown in Figure 2. It is generated from two initial discr

How is sampling done, Image Processing 1. How is sampling done? Explain...

Image Processing 1. How is sampling done? Explain quantization in digital image processing? 2. Explain in brief: (1) Image Subtraction (ii) Image averaging. 3. Explain in

Write a c-code for a user to draw a polygon object, Write a C-code for an i...

Write a C-code for an interactive program which allows a user to draw a polygon object in a window and then gives various choices of geometric transformations on the polygon.  Once

What is a dot size and interdot distance, What is a dot size and interdot d...

What is a dot size and interdot distance? Dot size may be explained as the diameter of a single dot on the devices output. Dot size is also known as the Spot size.  Interdo

What is computer graphics, What is Computer Graphics. Computer graphic...

What is Computer Graphics. Computer graphics remains most existing and rapidly growing computer fields. Computer graphics may be explained as a pictorial representation or gra

Computer Animation, Computer Animation The term Animation is derived fr...

Computer Animation The term Animation is derived from 'animate' that literally means 'to give life to', 'Animating' a thing implies to impart movement to something that can't m

Vertical retrace - display devices, Vertical retrace - Display Devices ...

Vertical retrace - Display Devices In a refresh CRT monitor, the time it takes for an electron beam to return to the top, left most point on the monitor after refreshing all ho

Mpeg-1, MPEG-1 : MPEG-1 that is Moving Picture Experts Group format 1 is a...

MPEG-1 : MPEG-1 that is Moving Picture Experts Group format 1 is an industry standard encoding format that is broadly used. Its normal format is a frame size of about 352 x 240 an

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