Introduction
Bezier curves can produce many complex effects, such as the complex animation effect of a bouncing ball, which first accelerates down, stops, and then gradually decelerates when it bounces up.
Two commonly used URLs for using Bezier curves are as follows:
Easing function:
cubic-bezier:
How to use Bezier curves Drawing a curve
A standard cubic Bezier curve requires 4
points: the starting point, the ending point (also called the anchor point) and two mutually separated intermediate points.
Regardless of SVG, Canvas or CSS3 animation, these four points are involved.
The combination of SVG and Bezier curve
svg scalable vector graphics (Scalable Vector Graphics), two-dimensional, XML markup, similar to the following:
<svg> <path></path></svg>
SVG is not expanded in detail (it can be serialized in several articles). Just mention one of the tags of path
, and you can draw any path, including making bases with Bezier.
Cubic Bezier Curve Instructions: C x1 y1, x2 y2, x y
Two control points (x1,y1)
and (x2,y2 )
, (x,y)
represents the end point of the curve. The letters C
represent specific actions and behaviors. They need to be capitalized here and represent the standard cubic Bezier curve.
Look at some of the codes (fragments) describing Bezier curves below, you can feel it (the letters M
represent specific actions moveTo
, referring to The starting point of the drawing moves here).
<svg> <path></path> <path></path> <path></path> <path></path> <path></path> <path></path> <path></path> <path></path> <path></path></svg>
The curve effect is similar to the picture below:
You can see the starting point behind M
, Add the three points after C
to form the 4
points of the Bezier curve.
The combination of Canvas and Bezier curve
Canvas has a bezierCurveTo()
method, the code is as follows:
var c=document.getElementById("myCanvas");var ctx=c.getContext("2d"); ctx.beginPath(); ctx.moveTo(20,20); ctx.bezierCurveTo(20,100,200,100,200,20); ctx.stroke();
开始点:moveTo(20,20) 控制点 1:bezierCurveTo(20,100,200,100,200,20) 控制点 2:bezierCurveTo(20,100,200,100,200,20) 结束点: bezierCurveTo(20,100,200,100,200,20)
The combination of CSS3 animation and Bezier curve
The usage is as follows:
transition:cubic-bezier(.25,.1,.25,1)
where.25,.1
This coordinate is for the anchor point connected to the starting point; .25,1
This coordinate is for the point at the top of the antenna on the end point.
Some people may wonder, the cubic-bezier
value of CSS3 animation seems to have only two points~~
That’s because the starting point and end point of the Bezier curve of CSS3 animation Already fixed, they are (0,0)
and (1,1)
respectively.
Several animation effects commonly used in css3:
ease: cubic-bezier(0.25, 0.1, 0.25, 1.0)
linear: cubic-bezier(0.0, 0.0, 1.0, 1.0)
ease-in: cubic-bezier(0.42, 0, 1.0, 1.0)
ease-out: cubic-bezier(0, 0, 0.58, 1.0)
ease-in-out: cubic -bezier(0.42, 0, 0.58, 1.0)
Achieve the effect of a pinball:
html code:
<div></div><div></div>
css code:
body{margin:0;padding:0;}#ball{ background:red; height:100px; width:100px; position:absolute; top:10px; left:20px; border-radius:50px; }#floor{ position:absolute; bottom:10px; left:0px; width:350px; height:1px; border-top:5px solid brown; }
js code:
;(function(){ var down=false, trans='transition', eventName='transitionend'; if(typeof document.body.style.webkitTransition==='string'){ trans='webkitTransition'; eventName='webkitTransitionEnd'; }else if(typeof document.body.style.MozTransition==='string'){ trans='MozTransition'; }var ball=document.getElementById('ball');var floor=document.getElementById('floor');function bounce(){ if(down){ ball.style[trans]="Top 1s cubic-bezier(0,.27,.32,1)"; ball.style.top='10px'; down=false; }else{ ball.style[trans]="Top 1s cubic-bezier(1,0,0.96,0.91)"; ball.style.top=(floor.offsetTop-100)+'px'; down=true; } } ball.addEventListener(eventName,bounce); bounce(); })();
Description: document.body.style.webkitTransition Gets the transition prefixed by webkit
In the WebKit engine browser, when the transition animation of css3 ends, the webkitTransitionEnd event is triggered.
The effect is shown in the figure:
Download address: "CSS3 Animation: Ball Bounce Animation"
Summary
canvas:
ctx.moveTo(0,0); ctx.bezierCurveTo(x1,y1,x2,y2,1,1);
SVG:
<path></path>
CSS3 Bezier starting point is0,0
; The end point is 1, 1
;
cubic-bezier(x1,y1, x2,y2)
The above is the detailed content of Detailed explanation of the application of Bezier curve. For more information, please follow other related articles on the PHP Chinese website!

HTML, CSS and JavaScript are the core technologies for building modern web pages: 1. HTML defines the web page structure, 2. CSS is responsible for the appearance of the web page, 3. JavaScript provides web page dynamics and interactivity, and they work together to create a website with a good user experience.

The function of HTML is to define the structure and content of a web page, and its purpose is to provide a standardized way to display information. 1) HTML organizes various parts of the web page through tags and attributes, such as titles and paragraphs. 2) It supports the separation of content and performance and improves maintenance efficiency. 3) HTML is extensible, allowing custom tags to enhance SEO.

The future trends of HTML are semantics and web components, the future trends of CSS are CSS-in-JS and CSSHoudini, and the future trends of JavaScript are WebAssembly and Serverless. 1. HTML semantics improve accessibility and SEO effects, and Web components improve development efficiency, but attention should be paid to browser compatibility. 2. CSS-in-JS enhances style management flexibility but may increase file size. CSSHoudini allows direct operation of CSS rendering. 3.WebAssembly optimizes browser application performance but has a steep learning curve, and Serverless simplifies development but requires optimization of cold start problems.

The roles of HTML, CSS and JavaScript in web development are: 1. HTML defines the web page structure, 2. CSS controls the web page style, and 3. JavaScript adds dynamic behavior. Together, they build the framework, aesthetics and interactivity of modern websites.

The future of HTML is full of infinite possibilities. 1) New features and standards will include more semantic tags and the popularity of WebComponents. 2) The web design trend will continue to develop towards responsive and accessible design. 3) Performance optimization will improve the user experience through responsive image loading and lazy loading technologies.

The roles of HTML, CSS and JavaScript in web development are: HTML is responsible for content structure, CSS is responsible for style, and JavaScript is responsible for dynamic behavior. 1. HTML defines the web page structure and content through tags to ensure semantics. 2. CSS controls the web page style through selectors and attributes to make it beautiful and easy to read. 3. JavaScript controls web page behavior through scripts to achieve dynamic and interactive functions.

HTMLisnotaprogramminglanguage;itisamarkuplanguage.1)HTMLstructuresandformatswebcontentusingtags.2)ItworkswithCSSforstylingandJavaScriptforinteractivity,enhancingwebdevelopment.

HTML is the cornerstone of building web page structure. 1. HTML defines the content structure and semantics, and uses, etc. tags. 2. Provide semantic markers, such as, etc., to improve SEO effect. 3. To realize user interaction through tags, pay attention to form verification. 4. Use advanced elements such as, combined with JavaScript to achieve dynamic effects. 5. Common errors include unclosed labels and unquoted attribute values, and verification tools are required. 6. Optimization strategies include reducing HTTP requests, compressing HTML, using semantic tags, etc.


Hot AI Tools

Undresser.AI Undress
AI-powered app for creating realistic nude photos

AI Clothes Remover
Online AI tool for removing clothes from photos.

Undress AI Tool
Undress images for free

Clothoff.io
AI clothes remover

Video Face Swap
Swap faces in any video effortlessly with our completely free AI face swap tool!

Hot Article

Hot Tools

MantisBT
Mantis is an easy-to-deploy web-based defect tracking tool designed to aid in product defect tracking. It requires PHP, MySQL and a web server. Check out our demo and hosting services.

SAP NetWeaver Server Adapter for Eclipse
Integrate Eclipse with SAP NetWeaver application server.

ZendStudio 13.5.1 Mac
Powerful PHP integrated development environment

VSCode Windows 64-bit Download
A free and powerful IDE editor launched by Microsoft

SublimeText3 Linux new version
SublimeText3 Linux latest version