Draw A Filled Polygon Using Scanline Loop

I'm trying to draw a filled polygon using individual pixels in a scanline loop (so no lineTo or fill Canvas methods). I was able to achieve a triangle in this method (example below

Solution 1:

Scanline for non self intersecting polygons.

Draw any concave or convex polygon with 3 or more sides using scanline method.

• Is the easiest, also slowest.
• Polygon is a set of lines with start and end points.
• Polygon lines can be unordered
• Polygon must be closed
• None of polygon lines can cross any of the other polygon lines.

Steps

Find bounding box of lines. top, left, right, bottom.
Set x, y totopleft of bounding box.
while y is less than bottom.
    Find all lines that will cross the line fromleft, y toright, y
    Sort lines in distance from x to point where above line crossed
    while there are sorted lines
        shift two lines from sorted lines and scan the pixels between
    add 1to y      
    

An implementation.

Function scanlinePoly(lines, col) draw the pixels. lines is create with createLines which is an array of lines with helper functions to add lines, find lines, sort lines, and get bounds.

Helper functions

• createStar(x, y, r1, r2, points) will create a lines array for a star, x, y center of star, r1 radius, r2 second radius, points number of points
• P2(x, y) returns 2D point
• L2(p1, p2) returns 2D line that includes the slope of the line. p1, p2 are points as created by P2
• atLineLevelY(y) returns true if line crosses scan line at y

constscanlinePoly = (lines, col) => {
    const b = lines.getBounds();
    var x, y, xx;
    ctx.fillStyle = col;
    b.left = Math.floor(b.left);
    b.top = Math.floor(b.top);
    for (y = b.top; y <= b.bottom; y ++) {
        // update // old line was const ly = lines.getLinesAtY(y).sortLeftToRightAtY(y);// changed toconst ly = lines.getLinesAtY(y + 0.5).sortLeftToRightAtY(y + 0.5);
        x = b.left - 1; 
        while(x <= b.right) {
            const nx1 = ly.nextLineFromX(x);
            if (nx1 !== undefined) {
                const nx2 = ly.nextLineFromX(nx1);
                if (nx2 !== undefined) {
                    const xS = Math.floor(nx1); 
                    const xE = Math.floor(nx2); 
                    for (xx = xS; xx < xE; xx++) {
                        ctx.fillRect(xx, y, 1, 1);
                    }
                    x = nx2;
                } else { break }
            } else { break }
        }
    }
}

functioncreateLines(linesArray = []) {
     returnObject.assign(linesArray, {
        addLine(l) { this.push(l) },
        getLinesAtY(y) { returncreateLines(this.filter(l =>atLineLevelY(y, l))) },
        sortLeftToRightAtY(y) {
            for (const l ofthis) { l.dist = l.p1.x + l.slope * (y - l.p1.y) }
            this.sort((a,b) => a.dist - b.dist);
            returnthis;
        },
        nextLineFromX(x) { // only when sortedconst line = this.find(l => l.dist > x);
            return line ? line.dist : undefined;
        },
        getBounds() {
            var top = Infinity, left = Infinity;
            var right = -Infinity,  bottom = -Infinity;
            for (const l ofthis) {
                top = Math.min(top, l.p1.y, l.p2.y);
                left = Math.min(left, l.p1.x, l.p2.x);
                right = Math.max(right, l.p1.x, l.p2.x);
                bottom = Math.max(bottom, l.p1.y, l.p2.y);
            }
            return {top, left, right, bottom};
        },
    });
}

constcreateStar = (x, y, r1, r2, points) => {
    var i = 0, pFirst, p1, p2;
    const lines = createLines()
    while (i < points * 2) {
        const r = i % 2 ? r1 : r2;
        const ang = (i / (points * 2)) * Math.PI * 2;
        p2 = P2(Math.cos(ang) * r + x, Math.sin(ang) * r + y);
        if (pFirst === undefined) { pFirst = p2 };
        if (p1 !== undefined) { lines.addLine(L2(p1, p2)) }
        p1 = p2;
        i++;
    }
    lines.addLine(L2(p2, pFirst));    
    return lines;
}
const ctx = canvas.getContext("2d");

constP2 = (x = 0,y = 0) => ({x, y});
constL2 = (p1 = P2(), p2 = P2()) => ({p1, p2, slope: (p2.x - p1.x) / (p2.y - p1.y)});
constatLineLevelY = (y, l) => l.p1.y < l.p2.y && (y >= l.p1.y && y <= l.p2.y) || (y >= l.p2.y && y <= l.p1.y);

canvas.addEventListener("click", () => {
    ctx.clearRect(0,0,200,200);
    const star = createStar(
        100, 90, 
        Math.random() * 80 + 10,
        Math.random() * 80 + 10,
        Math.random() * 20 + 2 | 0
    );
    scanlinePoly(star, "#F00")


})


const star = createStar(100, 90, 90, 40, 10);
scanlinePoly(star, "#F00")

canvas {border: 1px solid black;}

<canvasid="canvas"width="200"height="180"></canvas>Click for rand star

Note that inner loop

for (xx = xS; xx < xE; xx++) {
    ctx.fillRect(xx, y, 1, 1);
}

Can be replaced with ctx.fillRect(xS, y, xE - xS, 1) to greatly improve performance.

UPDATE

Looking at my answer again to see if it could be improved I noticed a problem that resulted in lines incorrectly rendered.

To fix the the first line inside the outer loop of function scanlinePoly needs to be changed from.

const ly = lines.getLinesAtY(y).sortLeftToRightAtY(y);

To

const ly = lines.getLinesAtY(y + 0.5).sortLeftToRightAtY(y + 0.5);