Vertices of bezier curve find out 3 points on bezier curve, Computer Graphics

Assignment Help:

Specified p0 (1, 1): p1 (2, 3); p2 (4, 3); p3 (3, 1) as vertices of Bezier curve find out 3 points on Bezier curve?

Solution: We consider Cubic Bezier curve as:

P (u) = p0 (1 - u)3 + 3p1 u (1 - u)2 + 3p2 u2 (1 - u) + p3u3

P (u) = (1, 1) (1 - u)3   + 3 (2, 3)u (1 - u)2 + 3 (4, 3) u2 (1 - u) + (3, 1)u3. we select various values of u from 0 to 1.

u = 0:   P (0) = (1, 1) (1 - 0)3 + 0 + 0 + 0 = (1, 1)

u = 0.5:  P (0.5) = (1, 1)(1 - 0.5)3+3(2, 3)(0.5) (1 - 0.5)2 + 3 (4, 3)(0.5)2(1 - 0.5)+(3,1) (0.5)3

= (1, 1) (0.5)3 + (2, 3) (0.375) + (0.375) (4, 3) + (3, 1) (0.125)

= (0.125, 0.125) +  (0.75, 1.125) + (1.5, 1.125) + (1.125, 0.125) P (0.5) = (3.5, 2.5)

u = 1:  P (1) = 0 + 0 + 0 + (3, 1). 13

= (3, 1)


Related Discussions:- Vertices of bezier curve find out 3 points on bezier curve

Local illumination model - polygon rendering, Local Illumination Model - Po...

Local Illumination Model - Polygon Rendering In this only light that is directly reflected by a light source through a surface to our eyes is observed. No explanation is taken

Explain different linear methods for noise cleaning, Question 1 Describe t...

Question 1 Describe the process of formation of image in human eye Structure of the Human Eye Image formation in the Eye Brightness Adaptation and Discrimination

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

Find out projection matrix for oblique projection, Find Out Projection Matr...

Find Out Projection Matrix for Oblique Projection To find out projection matrix for oblique projection, we want to find out the direction vector d. Because vector PP' and vect

Avi codec format, AVI CODEC Formats: Various AVI file formats other than t...

AVI CODEC Formats: Various AVI file formats other than the DV Types 1 and 2 formats are there discussed earlier. All such the other formats involve the utilization of Compressor o

Graphic interchange format (gif), Graphic Interchange Format (GIF): The Gr...

Graphic Interchange Format (GIF): The Graphic Interchange Format is an efficient implies to transmit images across data networks. In the early 1990 year the original designers of

Interfacing lcd liquid crystal display, Main Objectives: Interfacing...

Main Objectives: Interfacing LCD to the Micro-controller (PIC18F4520) Programming LCD by using C- language via MPLAB Sending data or command to the LCD Component

Combined consequence of ambient and diffused reflection, Combined consequen...

Combined consequence of ambient and diffused reflection At this time the resulting intensity I will be the total sum of the intensities in case 8.3.2 and 8.3.3 we find that:

Limitations of cohen sutherland line clipping algorithm, Limitations of Coh...

Limitations of Cohen Sutherland line clipping Algorithm The algorithm is merely applicable to rectangular windows and not to the other convex shaped window. Consequently, a

Ellipse generation algorithm - 2d shape primitives, Ellipse Generation Algo...

Ellipse Generation Algorithm  You know that a circle is symmetric in all the octants, while ellipse is symmetric with respect to four quadrants.  Therefore, to draw an ellipse,

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