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概述

平行坐标系(Parallel)是一种用于可视化多维数据的坐标系,它将多个变量映射到平行的坐标轴上,每条数据记录表示为连接各个坐标轴上对应值的折线。平行坐标系特别适合用于分析多个变量之间的关系和模式,以及识别数据集中的异常值和聚类。

在 G2 中,平行坐标系通过将笛卡尔直角坐标系变换为平行坐标系来实现,每个数据维度对应一个垂直的坐标轴。

坐标系原理

平行坐标系的基本原理是:

  1. 将多个数据维度映射到平行排列的坐标轴上
  2. 每条数据记录表示为穿过所有坐标轴的折线
  3. 线在每个坐标轴上的位置对应该维度的数据值

平行坐标系有两种常见的布局方式:

  • 垂直布局:坐标轴垂直排列(默认)
  • 水平布局:通过 transpose 变换将坐标轴水平排列

开始使用

import { Chart } from '@antv/g2';
const chart = new Chart({
container: 'container',
});
// 定义维度数组
const dimensions = [
'Cylinders',
'Displacement',
'Weight_in_lbs',
'Horsepower',
'Acceleration',
'Miles_per_Gallon',
'Year',
];
chart.options({
type: 'line',
width: 720,
paddingLeft: 60,
coordinate: { type: 'parallel' },
data: {
type: 'fetch',
value:
'https://gw.alipayobjects.com/os/bmw-prod/96cd81b5-54a4-4fe8-b778-502b2114df58.json',
callback: (d) => Object.assign(d, { year: new Date(d.year) }),
transform: [
{
type: 'filter',
callback: (d) => d.Horsepower != null && d.Miles_per_Gallon != null,
},
],
},
encode: {
position: dimensions,
color: 'Origin',
size: 1.01,
},
style: {
strokeOpacity: 0.3,
},
scale: {
position: { nice: true },
position1: { nice: true },
position2: { nice: true },
position3: { nice: true },
position4: { nice: true },
position5: { nice: true },
},
axis: {
position: { zIndex: 1 },
position1: { zIndex: 1 },
position2: { zIndex: 1 },
position3: { zIndex: 1 },
position4: { zIndex: 1 },
position5: { zIndex: 1 },
},
});
chart.render();

使用场景

平行坐标系特别适合以下场景:

  1. 多维数据分析:当需要同时分析多个变量之间的关系时,平行坐标系可以在一个视图中展示所有维度
  2. 模式识别:通过观察线条的走向,可以识别数据中的模式和趋势
  3. 异常值检测:异常数据通常会表现为与大多数线条路径明显不同的线条
  4. 聚类分析:相似的数据记录会形成相似的线条路径,便于识别数据聚类

注意事项

  1. 数据量:当数据记录过多时,线条会重叠导致视觉混乱,建议使用透明度或交互式筛选
  2. 轴的顺序:坐标轴的排列顺序会影响可视化效果,相关性强的变量放在相邻位置通常更有利于分析
  3. 轴的缩放:不同维度的数据范围可能差异很大,需要适当设置比例尺以便更好地比较

配置项

平行坐标系的配置项相对简单,主要通过 coordinate 属性进行设置:

属性说明类型默认值必选
transform坐标系变换,可用于实现水平布局Transform[][]

坐标系变换

平行坐标系支持以下坐标系变换:

变换类型说明示例
transpose将垂直布局转换为水平布局{ transform: [{ type: 'transpose' }] }

常见用例

1. 垂直平行坐标系

垂直平行坐标系是最常见的平行坐标系布局,坐标轴垂直排列。

import { Chart } from '@antv/g2';
const chart = new Chart({
container: 'container',
});
chart.options({
type: 'line',
coordinate: { type: 'parallel' },
data: [
{ dim1: 10, dim2: 30, dim3: 20, dim4: 60, category: 'A' },
{ dim1: 20, dim2: 20, dim3: 30, dim4: 40, category: 'B' },
{ dim1: 30, dim2: 10, dim3: 40, dim4: 20, category: 'C' },
],
encode: {
position: ['dim1', 'dim2', 'dim3', 'dim4'],
color: 'category',
},
style: {
lineWidth: 2,
strokeOpacity: 0.7,
},
scale: {
color: {
palette: 'spectral',
},
},
axis: {
position: { zIndex: 1 },
position1: { zIndex: 1 },
position2: { zIndex: 1 },
position3: { zIndex: 1 },
},
});
chart.render();

2. 水平平行坐标系

通过添加 transpose 变换,可以将坐标轴水平排列,创建水平平行坐标系。

import { Chart } from '@antv/g2';
const chart = new Chart({
container: 'container',
});
chart.options({
type: 'line',
coordinate: {
type: 'parallel',
transform: [{ type: 'transpose' }],
},
data: [
{ dim1: 10, dim2: 30, dim3: 20, dim4: 60, category: 'A' },
{ dim1: 20, dim2: 20, dim3: 30, dim4: 40, category: 'B' },
{ dim1: 30, dim2: 10, dim3: 40, dim4: 20, category: 'C' },
],
encode: {
position: ['dim1', 'dim2', 'dim3', 'dim4'],
color: 'category',
},
style: {
lineWidth: 2,
strokeOpacity: 0.7,
},
scale: {
color: {
palette: 'spectral',
},
},
axis: {
position: { zIndex: 1 },
position1: { zIndex: 1 },
position2: { zIndex: 1 },
position3: { zIndex: 1 },
},
});
chart.render();

3. 带交互的平行坐标系

平行坐标系通常需要交互来增强分析能力,例如添加轴的高亮和筛选功能。

import { Chart } from '@antv/g2';
const chart = new Chart({
container: 'container',
});
// 定义维度数组
const dimensions = [
'economy (mpg)',
'cylinders',
'displacement (cc)',
'power (hp)',
'weight (lb)',
];
chart.options({
type: 'line',
coordinate: { type: 'parallel' },
data: {
type: 'fetch',
value: 'https://assets.antv.antgroup.com/g2/cars3.json',
},
encode: {
position: dimensions,
color: 'cylinders',
},
style: {
lineWidth: 1.5,
strokeOpacity: 0.4,
},
scale: {
color: {
palette: 'brBG',
},
},
axis: {
position: { zIndex: 1 },
position1: { zIndex: 1 },
position2: { zIndex: 1 },
position3: { zIndex: 1 },
position4: { zIndex: 1 },
},
interaction: {
tooltip: { series: false },
brushAxisHighlight: true,
},
state: {
active: { lineWidth: 3 },
inactive: { stroke: 'grey', opacity: 0.3 },
},
});
chart.render();

完整示例

以下是一个完整的平行坐标系示例,展示了如何使用平行坐标系分析多维数据:

import { Chart } from '@antv/g2';
const chart = new Chart({
container: 'container',
});
// 定义维度数组
const dimensions = [
'Cylinders',
'Displacement',
'Weight_in_lbs',
'Horsepower',
'Acceleration',
'Miles_per_Gallon',
'Year',
];
chart.options({
type: 'line',
width: 800,
height: 500,
padding: [40, 100, 60, 100], // 增加四周的内边距,给标签留出更多空间
coordinate: { type: 'parallel' },
data: {
type: 'fetch',
value:
'https://gw.alipayobjects.com/os/bmw-prod/96cd81b5-54a4-4fe8-b778-502b2114df58.json',
callback: (d) => Object.assign(d, { year: new Date(d.year) }),
transform: [
{
type: 'filter',
callback: (d) => d.Horsepower != null && d.Miles_per_Gallon != null,
},
],
},
encode: {
position: dimensions,
color: 'Origin',
size: 1.01,
},
style: {
strokeOpacity: 0.3,
},
scale: {
// 为所有position设置相同的配置
...Object.fromEntries(
dimensions.map((_, i) => [`position${i > 0 ? i : ''}`, { nice: true }]),
),
// 为年份设置时间格式
Year: {
type: 'time',
tickCount: 6,
mask: 'YYYY',
},
},
axis: {
// 定义基础轴配置
...(() => {
// 创建基础配置对象
const baseAxisConfig = {
zIndex: 1,
line: true,
labelStroke: '#fff',
labelLineWidth: 5,
labelFontSize: 12,
labelStrokeLineJoin: 'round',
titleStroke: '#fff',
titleFontSize: 14,
titleLineWidth: 5,
titleStrokeLineJoin: 'round',
lineStroke: 'black',
tickStroke: 'black',
lineLineWidth: 1,
grid: null, // 移除网格线
tickCount: 5, // 减少刻度数量
labelSpacing: 8, // 增加标签与轴的距离
};
// 为每个维度创建配置
return Object.fromEntries(
dimensions.map((dim, i) => {
const key = `position${i > 0 ? i : ''}`;
// 为最后一个维度(Year)添加特殊配置
if (i === dimensions.length - 1) {
return [
key,
{
...baseAxisConfig,
labelFormatter: (text) => text.slice(0, 4), // 只显示年份
},
];
}
return [key, baseAxisConfig];
}),
);
})(),
},
legend: {
color: {
position: 'bottom', // 将图例放在底部
layout: 'horizontal',
},
},
interaction: {
tooltip: { series: false },
brushAxisHighlight: {
maskFill: '#d8d0c0',
maskOpacity: 0.3,
},
},
state: {
active: { lineWidth: 3, strokeOpacity: 1 },
inactive: { stroke: '#ccc', opacity: 0.3 },
},
});
chart.render();

这个示例展示了如何创建一个功能完整的平行坐标系图表,包括以下特性:

  1. 使用多个数据维度创建平行坐标轴
  2. 根据数据值设置线条颜色
  3. 自定义坐标轴样式,提高可读性
  4. 添加交互功能,支持轴的高亮和筛选
  5. 设置活动和非活动状态样式,增强交互体验
  6. 添加图例,帮助理解颜色编码

通过这些配置,可以创建出既美观又实用的平行坐标系可视化,有效地分析多维数据之间的关系。