Question

Suppose that a point P1 on scanline y1 and its intensity is I1, a point P2 on scanline y2 and its intensity is I2. Please give a deduction equation on the dimension y，which can use linear interpolation calculating all the intensities I′of the points on the scanlines between P1 and P2. If P1 on scanline 5th has RGB color （1，0.5，0）, P2 on scanline 15th has RGB （0.2，0.5，0.6）， then what will be the color of the point on scanline 8th?

Answer 1

Ans :

Bezier Curve Bezier curve are the most fundamental curve, used generally in computer graphics and image proussing. These curve are mainly used in interpolation , appoximation , curve fitting and Object representation Plt) is a countinuous function in 3 spau defining the curve with N discrete control point Bit-o at the first control point (i=o) and til at the last control pointa li=N). N=4 2 tlo P4 Po to Algorithm 2 - The objective here is to the middle of two nearby point this untill we have no more find point in and iterate iterations. Step-1: Select constant a value for the tI [0,1] rest of This value remains steps: Step 2: Set Pilo] (t) = P; for i=0,...n

Step 3: For i=0,1 h set P; FJ) (+) = (1-P)P:-(1-1)(+) + + P, (5-1144) for tej...h Step 4: g(+) - Pn [n] (+) Splitting Curve.- Using de Casteljaus algorithm , we can also find all the points we need to split up a Bezier curve into two similler curves, which tapen together form the original curve. 8 (220,40) | 120, 160) (35,200) (220,260) Splitting curve