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

#title., WHAT IS PAINTERS ALGORITHM?

WHAT IS PAINTERS ALGORITHM?

Dda and bresenhem line drawing algorithm, when dda algorithm is more effici...

when dda algorithm is more efficient than bresenhem line drawing algorithm

Flat panel, help me discuss about flat panel with respect to emissive and n...

help me discuss about flat panel with respect to emissive and non emissive display

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

Given two triangles p along with vertices as p1(100, Given two triangles P ...

Given two triangles P along with vertices as P1(100,100,50), P2(50,50,50), P3(150,50,50) and q along with vertices as Q1(40,80,60), q2(70,70,50), Q3( 10,75,70), determine that tria

Crt, explain the working procedure of crt digram

explain the working procedure of crt digram

Random painter graphical application, "Random Painter" uses an array to sto...

"Random Painter" uses an array to store a collection of randomly coloured shapes, either squares or circles as filled shapes or outlines.  Using an array imposes severe limitati

What is the difference between kerning and tracking, QUESTION (a) What ...

QUESTION (a) What is the difference between kerning and tracking? (b) What is the advantage of creating colours in the Swatches panel instead of the Colour panel? (c) Wha

What does refreshing of the screen mean, What does refreshing of the screen...

What does refreshing of the screen mean? Some method is required for maintaining the picture on the screen. Refreshing of screen is completed by keeping the phosphorus glowing

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