/** * Compare InverseBindMatrix calculation * 比较逆绑定矩阵计算 * * This script compares the IBM calculated in test script vs FBXLoader's method */ import { readFileSync } from 'fs'; import pako from 'pako'; const { inflate } = pako; const filePath = process.argv[2] || 'F:\\MyProject4\\assets\\octopus.fbx'; console.log(`=== Analyzing: ${filePath} ===\n`); const buffer = readFileSync(filePath); const view = new DataView(buffer.buffer, buffer.byteOffset, buffer.byteLength); const version = view.getUint32(23, true); const is64Bit = version >= 7500; let offset = 27; function readNode() { const startOffset = offset; let endOffset, numProperties, propertyListLen, nameLen; if (is64Bit) { endOffset = Number(view.getBigUint64(offset, true)); numProperties = Number(view.getBigUint64(offset + 8, true)); propertyListLen = Number(view.getBigUint64(offset + 16, true)); nameLen = view.getUint8(offset + 24); offset += 25; } else { endOffset = view.getUint32(offset, true); numProperties = view.getUint32(offset + 4, true); propertyListLen = view.getUint32(offset + 8, true); nameLen = view.getUint8(offset + 12); offset += 13; } if (endOffset === 0) return null; const name = new TextDecoder().decode(buffer.slice(offset, offset + nameLen)); offset += nameLen; const properties = []; const propsEnd = offset + propertyListLen; while (offset < propsEnd) { const typeCode = String.fromCharCode(buffer[offset]); offset++; switch (typeCode) { case 'Y': properties.push(view.getInt16(offset, true)); offset += 2; break; case 'C': properties.push(buffer[offset] !== 0); offset += 1; break; case 'I': properties.push(view.getInt32(offset, true)); offset += 4; break; case 'F': properties.push(view.getFloat32(offset, true)); offset += 4; break; case 'D': properties.push(view.getFloat64(offset, true)); offset += 8; break; case 'L': properties.push(view.getBigInt64(offset, true)); offset += 8; break; case 'S': case 'R': const strLen = view.getUint32(offset, true); offset += 4; if (typeCode === 'S') { properties.push(new TextDecoder().decode(buffer.slice(offset, offset + strLen))); } else { properties.push(buffer.slice(offset, offset + strLen)); } offset += strLen; break; case 'f': case 'd': case 'l': case 'i': case 'b': const arrayLen = view.getUint32(offset, true); const encoding = view.getUint32(offset + 4, true); const compressedLen = view.getUint32(offset + 8, true); offset += 12; if (encoding === 0) { const elemSize = typeCode === 'd' || typeCode === 'l' ? 8 : 4; const arr = []; for (let i = 0; i < arrayLen; i++) { if (typeCode === 'd') arr.push(view.getFloat64(offset + i * 8, true)); else if (typeCode === 'f') arr.push(view.getFloat32(offset + i * 4, true)); else if (typeCode === 'l') arr.push(view.getBigInt64(offset + i * 8, true)); else if (typeCode === 'i') arr.push(view.getInt32(offset + i * 4, true)); } properties.push({ type: typeCode, data: arr }); offset += arrayLen * elemSize; } else { const compData = buffer.slice(offset, offset + compressedLen); try { const decompressed = inflate(compData); const elemSize = typeCode === 'd' || typeCode === 'l' ? 8 : 4; const dataView = new DataView(decompressed.buffer, decompressed.byteOffset, decompressed.byteLength); const arr = []; for (let i = 0; i < arrayLen; i++) { if (typeCode === 'd') arr.push(dataView.getFloat64(i * 8, true)); else if (typeCode === 'f') arr.push(dataView.getFloat32(i * 4, true)); else if (typeCode === 'l') arr.push(dataView.getBigInt64(i * 8, true)); else if (typeCode === 'i') arr.push(dataView.getInt32(i * 4, true)); } properties.push({ type: typeCode, data: arr }); } catch (e) { properties.push({ type: typeCode, compressed: true, len: arrayLen }); } offset += compressedLen; } break; default: offset = propsEnd; } } const children = []; while (offset < endOffset) { const child = readNode(); if (child) children.push(child); else break; } offset = endOffset; return { name, properties, children }; } // Parse root nodes const rootNodes = []; while (offset < buffer.length - 100) { const node = readNode(); if (node) rootNodes.push(node); else break; } const objectsNode = rootNodes.find(n => n.name === 'Objects'); // Find first Cluster deformer const clusterNodes = objectsNode.children.filter(n => n.name === 'Deformer' && n.properties[2]?.split?.('\0')[0] === 'Cluster' ); console.log(`Found ${clusterNodes.length} clusters\n`); // Parse TransformLink from first cluster const firstCluster = clusterNodes[0]; const clusterName = firstCluster.properties[1]?.split?.('\0')[0] || 'Cluster'; console.log(`First cluster: "${clusterName}"`); // Find TransformLink child node const transformLinkNode = firstCluster.children.find(c => c.name === 'TransformLink'); if (!transformLinkNode) { console.log('ERROR: No TransformLink found!'); process.exit(1); } const transformLinkData = transformLinkNode.properties[0]; if (!transformLinkData?.data || transformLinkData.data.length !== 16) { console.log('ERROR: TransformLink data is not 16 doubles!'); console.log('Got:', transformLinkData); process.exit(1); } // FBX stores matrices in row-major order // WebGL expects column-major order const tlRaw = transformLinkData.data; console.log('\n=== TransformLink Raw Data (FBX row-major) ==='); console.log(`Row 0: ${tlRaw.slice(0, 4).map(v => v.toFixed(6)).join(', ')}`); console.log(`Row 1: ${tlRaw.slice(4, 8).map(v => v.toFixed(6)).join(', ')}`); console.log(`Row 2: ${tlRaw.slice(8, 12).map(v => v.toFixed(6)).join(', ')}`); console.log(`Row 3: ${tlRaw.slice(12, 16).map(v => v.toFixed(6)).join(', ')}`); // Convert to column-major for WebGL const tlColMajor = new Float32Array([ tlRaw[0], tlRaw[4], tlRaw[8], tlRaw[12], tlRaw[1], tlRaw[5], tlRaw[9], tlRaw[13], tlRaw[2], tlRaw[6], tlRaw[10], tlRaw[14], tlRaw[3], tlRaw[7], tlRaw[11], tlRaw[15] ]); console.log('\n=== TransformLink (WebGL column-major) ==='); console.log(`Col 0: ${Array.from(tlColMajor.slice(0, 4)).map(v => v.toFixed(6)).join(', ')}`); console.log(`Col 1: ${Array.from(tlColMajor.slice(4, 8)).map(v => v.toFixed(6)).join(', ')}`); console.log(`Col 2: ${Array.from(tlColMajor.slice(8, 12)).map(v => v.toFixed(6)).join(', ')}`); console.log(`Col 3: ${Array.from(tlColMajor.slice(12, 16)).map(v => v.toFixed(6)).join(', ')}`); // Invert the matrix (this is what FBXLoader does) function invertMatrix4(m) { const out = new Float32Array(16); const m00 = m[0], m01 = m[1], m02 = m[2], m03 = m[3]; const m10 = m[4], m11 = m[5], m12 = m[6], m13 = m[7]; const m20 = m[8], m21 = m[9], m22 = m[10], m23 = m[11]; const m30 = m[12], m31 = m[13], m32 = m[14], m33 = m[15]; const b00 = m00 * m11 - m01 * m10; const b01 = m00 * m12 - m02 * m10; const b02 = m00 * m13 - m03 * m10; const b03 = m01 * m12 - m02 * m11; const b04 = m01 * m13 - m03 * m11; const b05 = m02 * m13 - m03 * m12; const b06 = m20 * m31 - m21 * m30; const b07 = m20 * m32 - m22 * m30; const b08 = m20 * m33 - m23 * m30; const b09 = m21 * m32 - m22 * m31; const b10 = m21 * m33 - m23 * m31; const b11 = m22 * m33 - m23 * m32; let det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06; if (Math.abs(det) < 1e-8) { console.log('WARNING: Matrix is singular!'); return new Float32Array([1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1]); } det = 1.0 / det; out[0] = (m11 * b11 - m12 * b10 + m13 * b09) * det; out[1] = (m02 * b10 - m01 * b11 - m03 * b09) * det; out[2] = (m31 * b05 - m32 * b04 + m33 * b03) * det; out[3] = (m22 * b04 - m21 * b05 - m23 * b03) * det; out[4] = (m12 * b08 - m10 * b11 - m13 * b07) * det; out[5] = (m00 * b11 - m02 * b08 + m03 * b07) * det; out[6] = (m32 * b02 - m30 * b05 - m33 * b01) * det; out[7] = (m20 * b05 - m22 * b02 + m23 * b01) * det; out[8] = (m10 * b10 - m11 * b08 + m13 * b06) * det; out[9] = (m01 * b08 - m00 * b10 - m03 * b06) * det; out[10] = (m30 * b04 - m31 * b02 + m33 * b00) * det; out[11] = (m21 * b02 - m20 * b04 - m23 * b00) * det; out[12] = (m11 * b07 - m10 * b09 - m12 * b06) * det; out[13] = (m00 * b09 - m01 * b07 + m02 * b06) * det; out[14] = (m31 * b01 - m30 * b03 - m32 * b00) * det; out[15] = (m20 * b03 - m21 * b01 + m22 * b00) * det; return out; } // FBXLoader does: inverseBindMatrix = invertMatrix4(TransformLink) // But does FBXLoader expect TransformLink in row-major or column-major? // Let's check what FBXLoader does with the raw TransformLink data // Looking at FBXLoader.ts line 1045-1070, it reads TransformLink: // cluster.transformLink = new Float32Array(transformLinkData.data); // So it stores the raw FBX row-major data directly // Then at line 1707-1709: // const inverseBindMatrix = cluster.transformLink // ? this.invertMatrix4(cluster.transformLink) // : this.createIdentityMatrix(); // The question is: does invertMatrix4 expect row-major or column-major input? // Looking at the invertMatrix4 function, it uses standard column-major notation // So if it receives row-major data, the result will be wrong! console.log('\n=== PROBLEM ANALYSIS ==='); console.log('FBXLoader stores TransformLink as raw FBX data (row-major)'); console.log('But invertMatrix4() expects column-major input (WebGL convention)'); console.log('This mismatch could cause incorrect inverse bind matrices!\n'); // Test: invert the raw row-major data (what FBXLoader currently does) const ibmWrong = invertMatrix4(new Float32Array(tlRaw)); console.log('=== IBM from Row-Major Input (CURRENT - possibly wrong) ==='); console.log(`Col 0: ${Array.from(ibmWrong.slice(0, 4)).map(v => v.toFixed(6)).join(', ')}`); console.log(`Col 1: ${Array.from(ibmWrong.slice(4, 8)).map(v => v.toFixed(6)).join(', ')}`); console.log(`Col 2: ${Array.from(ibmWrong.slice(8, 12)).map(v => v.toFixed(6)).join(', ')}`); console.log(`Col 3: ${Array.from(ibmWrong.slice(12, 16)).map(v => v.toFixed(6)).join(', ')}`); // Test: invert the transposed (column-major) data (correct approach) const ibmCorrect = invertMatrix4(tlColMajor); console.log('\n=== IBM from Column-Major Input (CORRECT) ==='); console.log(`Col 0: ${Array.from(ibmCorrect.slice(0, 4)).map(v => v.toFixed(6)).join(', ')}`); console.log(`Col 1: ${Array.from(ibmCorrect.slice(4, 8)).map(v => v.toFixed(6)).join(', ')}`); console.log(`Col 2: ${Array.from(ibmCorrect.slice(8, 12)).map(v => v.toFixed(6)).join(', ')}`); console.log(`Col 3: ${Array.from(ibmCorrect.slice(12, 16)).map(v => v.toFixed(6)).join(', ')}`); // Verify by checking M * M^-1 = I function multiplyMatrices(a, b) { const result = new Float32Array(16); for (let row = 0; row < 4; row++) { for (let col = 0; col < 4; col++) { let sum = 0; for (let k = 0; k < 4; k++) { sum += a[row + k * 4] * b[k + col * 4]; } result[row + col * 4] = sum; } } return result; } console.log('\n=== VERIFICATION: TransformLink * IBM should = Identity ==='); const verify1 = multiplyMatrices(tlColMajor, ibmCorrect); console.log('Using column-major TransformLink * correct IBM:'); console.log(`Diagonal: ${verify1[0].toFixed(4)}, ${verify1[5].toFixed(4)}, ${verify1[10].toFixed(4)}, ${verify1[15].toFixed(4)}`); const verify2 = multiplyMatrices(new Float32Array(tlRaw), ibmWrong); console.log('Using row-major TransformLink * wrong IBM:'); console.log(`Diagonal: ${verify2[0].toFixed(4)}, ${verify2[5].toFixed(4)}, ${verify2[10].toFixed(4)}, ${verify2[15].toFixed(4)}`); console.log('\nDone!');