# BEZIER CURVE HOMEWORK

For instance if you want to calculate intersections, or you want to draw text along the curve like in CurvyText from iOS: P0 through P3 are the control points. Time to start optimizing. The easiest way to navigate this output is by searching for. Can you choose the eight control points so that the curve becomes a circle? You can then look for blx to find the places you make function calls. In Release mode with optimizations it takes just over 3 seconds. The end point would be P3 and the control points would be P1 and P2. You should use this formula repeatedly to refine the control points more and more until the difference is not noticeable. For little tiny things, the cost of the function call dwarfs what you might save otherwise. You can then look for blx to find the places you make function calls.

This is going to be great. There is still plenty of speed we can pick up here.

First, you can take a look at the code by editing the Scheme and setting the Build Configuration to Debug. On my iPhone 4, in Debug mode, with points, this takes over 20 seconds to run.

## Homework 1 Part B – CAP4730 (Spring 2011)

Find the formulas for these parameters and write them into your ReadMe. Determine and so that the polynomial pieces join. The compiler uses the NEON processor for all kinds of things. I mean, everyone knows that Accelerate uses the fancy vector hardware and that means super-duper fast. The title of the window should be your full name and your GatorLink ID in parentheses.

BABU JAGJIVAN RAM ALL INDIA ESSAY COMPETITION SCHEME

## Introduction to Fast Bezier (and Trying the Accelerate.framework)

We got rid of a lot of function calls both calls to Bezier and calls to powfand we replaced a very expensive squaring function with a very cheap one using vmul. But between 0 and 1, things get much more complicated. Let be the the set of input points. Is the curve a circle?

In debug mode, you can see the Bezier function and the four calls to powf. This is one of the big reasons that hand-calculation can be so much faster than Accelerate. The truth is, sometimes you need the numbers yourself. But day-to-day multiplication is often not one of them. After that this method should be deactivated and not drawn on the screen. While B-splines can be drawn by direct evalution point by point, one can use a subdivision schemes to find an arbitrarily large number of points that approximate the exact curve.

Accelerate is optimized for big matrices.

THESIS CAFE VUB Place the eight control points equally distributed on a unit circle. The first thing to understand is that this is exactly the same function that UIBezierPath uses.

# CS Lecture Page

The easiest way to navigate this output is by searching for. In fairness, we should try removing the powf calls in the Accelerate function. Back to the assembler, note that there are only two calls to powf.

The end point would be P3 and the control points would be P1 and P2. Still 10x slower then hand-coded. Function calls can be expensive. Well, curvve equivalent to the function they use. Each time the key is pressed the subdivision level is increased by 1 until it reaches the maximum.

Can you choose the eight control points so that the curve becomes a circle? It can be for certain problems. Starting with a basic project, you want this in didFinishLaunchingWithOptions: P0 through P3 are the control points. You can then look for blx homswork find the places you make function calls.