diff --git a/public/js/webgl-book-shape-lab.js b/public/js/webgl-book-shape-lab.js
index a11d64a..ae34266 100644
--- a/public/js/webgl-book-shape-lab.js
+++ b/public/js/webgl-book-shape-lab.js
@@ -73,7 +73,7 @@ const PAGE_COUNT_MIN = 40;
const PAGE_COUNT_STEP = 10;
const PAGE_WIDTH = 1.62;
const PAGE_SPLINE_LENGTH = 1.955;
-const PAGE_LINE_SEGMENTS = 24;
+const PAGE_LINE_SEGMENTS = 48;
const PAGE_DEPTH = 2.24;
const COVER_DEPTH = 2.30;
const COVER_OVERHANG = (COVER_DEPTH - PAGE_DEPTH) * 0.5;
@@ -489,7 +489,7 @@ function solvedStackOuterX(lines) {
function simulatePageLines(bundleCount, pageWidth, pageSplineLength, spineWidth, foreEdgeX, bundleSpacing, leftCount) {
const lines = [];
const segments = PAGE_LINE_SEGMENTS;
- const stepLength = pageSplineLength / segments;
+ const segmentLengths = pageSegmentLengths(pageSplineLength, segments);
const entries = [];
const spineArc = buildSpineArcSamples(spineWidth);
const rightCount = bundleCount - leftCount;
@@ -531,7 +531,7 @@ function simulatePageLines(bundleCount, pageWidth, pageSplineLength, spineWidth,
sideEntries.forEach((entry, rank) => {
const anchor = spineCurvePoint(entry.t, spineWidth);
const target = restingTarget(side, foreEdgeX, rank, sideEntries.length, bundleSpacing);
- const points = buildSupportSolvedLine(anchor, target, lowerLine, side, segments, stepLength, bundleCount, bundleSpacing);
+ const points = buildSupportSolvedLine(anchor, target, lowerLine, side, segments, segmentLengths, bundleCount, bundleSpacing);
const line = { index: entry.index, t: entry.t, side, anchor, points, endpoint: points[points.length - 1], isHairPage: entry.isHairPage === true };
lines.push(line);
lowerLine = line;
@@ -605,6 +605,16 @@ function pointAtSpineArcLength(spineArc, targetLength) {
return spineCurvePoint(t, spineArc.spineWidth);
}
+function pageSegmentLengths(totalLength, segments) {
+ const weights = [];
+ for (let index = 0; index < segments; index += 1) {
+ const u = index / Math.max(1, segments - 1);
+ weights.push(0.32 + 1.68 * u * u);
+ }
+ const weightTotal = weights.reduce((sum, weight) => sum + weight, 0);
+ return weights.map((weight) => totalLength * weight / weightTotal);
+}
+
function initialPageLine(anchor, target, segments) {
const points = [];
for (let i = 0; i <= segments; i += 1) {
@@ -626,11 +636,12 @@ function restingTarget(side, foreEdgeX, rank, sideCount, bundleSpacing) {
return { x, y };
}
-function buildSupportSolvedLine(anchor, target, lowerLine, side, segments, stepLength, bundleCount, bundleSpacing) {
+function buildSupportSolvedLine(anchor, target, lowerLine, side, segments, segmentLengths, bundleCount, bundleSpacing) {
const points = [{ x: anchor.x, y: anchor.y }];
let tangent = coverTangentAtX(anchor.x, side);
for (let index = 1; index <= segments; index += 1) {
const u = index / segments;
+ const stepLength = segmentLengths[index - 1];
const supportTangent = lowerLine ? lineTangentAt(lowerLine.points, index) : coverTangentAtX(points[index - 1].x, side);
const point = chooseClosestSupportedPoint(points[index - 1], tangent, supportTangent, target, lowerLine, index, side, stepLength, bundleCount, bundleSpacing, u);
points.push(point);
diff --git a/public/webgl-book-shape-lab.html b/public/webgl-book-shape-lab.html
index c487c36..16f1986 100644
--- a/public/webgl-book-shape-lab.html
+++ b/public/webgl-book-shape-lab.html
@@ -74,6 +74,6 @@
-
+