效果图：

image.png
image.png
image.png

<template>
    <div class="root">
        <div class="k-body">
            <div
                v-for="k of kPoints"
                :key="k.id"
                :style="{ top: `${k.y}px`, left: `${k.x}px`, background: k.color }"
                class="k-point"
            />
            <div
                v-for="point of dataSource"
                :key="point.id"
                :style="{ top: `${point.y}px`, left: `${point.x}px`, background: point.color }"
                class="point"
            />
        </div>
        <label>
            请输入K值:
            <input type="number" v-model="k" />
        </label>
        <button @click="handleStartCalculate">开始计算</button>
        <button @click="handleMoveKPoints">移动K点</button>
        <button @click="handleReset">重置</button>
    </div>
</template>

<script>
import { filter, forEach, isEqual, map, minBy, random, sumBy } from 'lodash'
import { v4 as uuid } from 'uuid'

const COLORS = [
    '#297aff',
    '#ff9800',
    '#30af28',
    '#ffcc0d',
    '#00cccc',
    '#66ccff',
    '#01a5ed',
    '#009966',
    '#A0D911',
]

const DEFAULT_COLOR = '#000000'

export default {
    name: 'KMeans',
    data() {
        return {
            dataSource: [], // 样本
            kPoints: [], // 质心
            k: 5, // K值
        }
    },
    created() {
        this.handleReset()
    },
    methods: {
        handleReset() {
            this.resetDataSource()
            this.initialKPoints()
        },
        initialKPoints() {
            this.kPoints = map(new Array(parseInt(this.k)), (item, index) => (
                {
                    id: uuid(),
                    x: random(0, 800 - 50, false),
                    y: random(0, 800 - 50, false),
                    color: COLORS[index % COLORS.length],
                }
            ))
        },
        resetDataSource() {
            this.dataSource = map(new Array(600), () => (
                {
                    id: uuid(),
                    x: random(0, 800 - 10, false),
                    y: random(0, 800 - 10, false),
                    color: DEFAULT_COLOR,
                    parent: null,
                }
            ))
        },
        /**
         * 计算样本最近的k点
         * @param point
         * @returns {*}
         */
        calculateNearestKPoint(point) {
            const { kPoints } = this
            return minBy(kPoints, kPoint => {
                const {x, y} = kPoint
                const xOffset = Math.abs(x - point.x)
                const yOffset = Math.abs(y - point.y)
                return Math.sqrt(xOffset ** 2 + yOffset ** 2)
            })
        },
        /**
         * 计算样本离哪个K点最近并进行分类
         */
        handleStartCalculate() {
            const { dataSource, calculateNearestKPoint } = this
            forEach(dataSource, point => {
                const nearestKPoint = calculateNearestKPoint(point)
                point.color = nearestKPoint.color
                point.parent = nearestKPoint.id
            })
        },
        /**
         * 根据样本点计算质心
         */
        handleMoveKPoints() {
            const { dataSource, kPoints } = this
            forEach(kPoints, kPoint => {
                const children = filter(dataSource, point => isEqual(point.parent, kPoint.id))
                kPoint.x = sumBy(children, point => point.x) / children.length
                kPoint.y = sumBy(children, point => point.y) / children.length
            })
        }
    }
}
</script>

<style scoped>
    .root {
        width: 100%;
        height: 100%;
    }
    .k-body {
        margin: 0 auto;
        width: 800px;
        height: 800px;
        position: relative;
        border: 1px solid grey;
    }
    .point {
        width: 10px;
        height: 10px;
        border-top-left-radius: 10px;
        border-top-right-radius: 10px;
        border-bottom-left-radius: 10px;
        border-bottom-right-radius: 10px;
        position: absolute;
        opacity: 0.5;
    }
    .k-point {
        width: 25px;
        height: 25px;
        border-top-left-radius: 25px;
        border-top-right-radius: 25px;
        border-bottom-left-radius: 25px;
        border-bottom-right-radius: 25px;
        position: absolute;
    }
</style>