{"id":8152,"date":"2026-08-20T18:54:09","date_gmt":"2026-08-20T10:54:09","guid":{"rendered":"http:\/\/pipingpig.com\/index.php\/2026\/08\/20\/3d%e7%ac%a6%e5%8f%b7%e5%bc%80%e5%8f%91%e5%b8%b8%e7%94%a8%e6%a6%82%e5%bf%b5%e5%92%8c%e9%80%a0%e5%9e%8b%e6%96%b9%e6%b3%95%e6%80%bb%e7%bb%93\/"},"modified":"2026-08-20T21:33:32","modified_gmt":"2026-08-20T13:33:32","slug":"3dfuhaokaifachangyonggainianhezaoxingfangfazongjie","status":"publish","type":"post","link":"https:\/\/www.pipingpig.com\/index.php\/2026\/08\/20\/3dfuhaokaifachangyonggainianhezaoxingfangfazongjie\/","title":{"rendered":"3D\u7b26\u53f7\u5f00\u53d1\u5e38\u7528\u6982\u5ff5\u548c\u9020\u578b\u65b9\u6cd5\u603b\u7ed3"},"content":{"rendered":"<div class=\"content\">\n<div>\n<p style=\"margin-bottom: 0em;font-size: 16px;line-height: 28px;text-align: center;font-family: Lora, sans-serif;white-space: normal\"><span style=\"font-size: 17px\"><strong>\u9884\u8b66\uff01\u672c\u7bc7\u7eaf\u7406\u8bba\u4ecb\u7ecd\uff0c\u8f83\u4e3a\u67af\u71e5\u65e0\u804a\u6666\u6da9\uff01<\/strong><\/span><\/p>\n<hr style=\"height: 1px;margin-top: 20px;margin-bottom: 1.5em;border-width: 0px;border-style: initial;border-color: initial;font-family: Lora, sans-serif;font-size: 16px;text-align: left;white-space: normal\" \/>\n<p><img decoding=\"async\" data-ratio=\"0.45278137128072443\" data-type=\"jpeg\" data-w=\"773\" src=\"https:\/\/www.pipingpig.com\/wp-content\/uploads\/2026\/08\/img_0000-20.jpg\" style=\"font-family: Lora, sans-serif;font-size: 16px;text-align: left;border-width: 0px;border-style: initial;border-color: initial;vertical-align: middle\" \/><\/p>\n<p><span style=\"font-size: 17px\">Position\uff0c\u5750\u6807\uff0c\u8fd9\u4e2a\u5e94\u8be5\u90fd\u77e5\u9053\uff0c\u6bd4\u8f83\u7b80\u5355<\/span><\/p>\n<p><span style=\"font-size: 17px\"><span>Vector\uff0c\u5411\u91cf\uff0c\u7a0d\u5fae\u62bd\u8c61\u70b9\u4e86\uff0c<\/span><\/span><\/p>\n<p><\/p>\n<ol class=\"list-paddingleft-2\" style=\"margin-bottom: 1.5em;font-family: Lora, sans-serif;font-size: 16px;text-align: left;white-space: normal;margin-left: 0px;margin-right: 0px\">\n<li style=\"font-size: 17px\">\n<section style=\"text-indent: 0em\"><span style=\"font-size: 17px\"><em>\u6cd5\u5411\u91cf\uff0cXXX.Normal<\/em><\/span><\/section>\n<\/li>\n<li style=\"font-size: 17px\">\n<section style=\"text-indent: 0em\"><span style=\"font-size: 17px\"><em>\u6c42A\u70b9\u5230B\u70b9\u7684\u5411\u91cf\uff0cPoint(Pos)B.Substract(Point(Pos)A)<\/em><\/span><\/section>\n<\/li>\n<li style=\"font-size: 17px\">\n<section style=\"text-indent: 0em\"><span style=\"font-size: 17px\"><em>\u6c42\u5411\u91cf\u7684\u957f\u5ea6\uff0cVector.Length<\/em><\/span><\/section>\n<\/li>\n<li style=\"font-size: 17px\">\n<section style=\"text-indent: 0em\"><span style=\"font-size: 17px\"><em>\u6c42\u5411\u91cfA\u5728\u67d0\u4e2a\u9762\u4e0a\u7684\u6295\u5f71\u5411\u91cf\uff1aVectorA.ProjectVectorToPlane(planeNormal as Vector)<\/em><\/span><\/section>\n<\/li>\n<li style=\"font-size: 17px\">\n<section style=\"text-indent: 0em\"><span style=\"font-size: 17px\"><em>\u6c42\u4e24\u4e2a\u5411\u91cf\u7684\u6b63\u4ea4\u5411\u91cf\uff1aVector1.Cross(Vector2)\uff0c\u5f97\u51fa\u7684\u7ed3\u679c\u662f\u91cc\u9762\u5411\u91cf\uff08\u98df<\/em>\u6307\uff09\u7684\u53f3\u624b\u6cd5\u5219\u7684\u5927\u62c7\u6307\u5411\u91cf<\/span><\/section>\n<\/li>\n<\/ol>\n<p><span style=\"font-size: 17px\"><span>Matrix4x4\uff0c\u5750\u6807\u7cfb\u77e9\u9635\uff0c\u8fd9\u4e2a\u5c31\u66f4\u62bd\u8c61\u4e86\uff0c\u4e0d\u8fc7\u6211\u4eec\u53ef\u4ee5\u7b80\u5355\u628a\u5b83\u7406\u89e3\u6210\u4e00\u4e2a\u5e26\u6709\u82e5\u5e72\u5c5e\u6027\u7684\u5750\u6807\u7cfb\uff0c\u53ef\u4ee5\u4f7f\u7528Get\u6216Set\u83b7\u53d6\u6216\u8bbe\u7f6e\u5b83\u7684\u8fd9\u4e9b\u5c5e\u6027\u3002<\/span><\/span><\/p>\n<ol class=\"list-paddingleft-2\" style=\"margin-bottom: 1.5em;font-family: Lora, sans-serif;font-size: 16px;text-align: left;white-space: normal;margin-left: 0px;margin-right: 0px\">\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>\u8bbe\u7f6e\u5750\u6807\u7cfb\u7684XY\u8f74\u65b9\u5411\uff0coMatrix.SetOrientation(vectorX, vectorY)<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>\u8bbe\u7f6e\u5750\u6807\u7cfb\u539f\u70b9\uff0c\u4ee5\u53caXY\u8f74\u65b9\u5411\uff0coMatrix.Set(Pos, VectorX, VectorY)<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>\u6cbf\u67d0\u4e2a\u5782\u76f4\u8f74\u65cb\u8f6c\u5750\u6807\u7cfb\uff0coMatrix.Rotate(dAngle, normVector)<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>\u6cbf\u67d0\u4e2a\u5782\u76f4\u8f74\uff0c\u67d0\u4e2a\u539f\u70b9\u5750\u6807\u65cb\u8f6c\u5750\u6807\u7cfb\uff0coMatrix.Rotate(dAngle, normVector, posCenter)<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>\u6cbf\u67d0\u4e2a\u5411\u91cf\u79fb\u52a8\u5750\u6807\u7cfb\uff0coMatrix.Translate(Vector)<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>\u8f6c\u6362\u5750\u6807\u7cfb\uff0coMatrix.Transform(Position)\/(Vector)<\/em><\/span><\/p>\n<\/li>\n<\/ol>\n<p><span style=\"font-size: 17px\">Geometry3D\u4e0b\u9762\u6709\u51e0\u5927\u7c7b\u6784\u9020\u5916\u5f62\u7684\u57fa\u7c7b\uff1a<br \/>Point3d\uff1a\u6784\u9020\u70b9\u00a0 \u00a0\u63a5\u53e3\uff1aIPoint\uff1b<br \/>Curve3d\uff1a\u6784\u9020\u7ebf\u00a0 \u63a5\u53e3\uff1aICurve\uff1b<br \/>Surface3d\uff1a\u6784\u9020\u9762\u00a0\u63a5\u53e3\uff1aISurface\uff1b<br \/>GeometryPart\uff1a\u6682\u65f6\u6ca1\u63a5\u89e6\u8fc7<\/span><\/p>\n<p><span style=\"font-size: 17px\"><span>Point3d\uff0c\u70b9\uff0c\u6bd4\u8f83\u7b80\u5355\uff0c\u6709\u73b0\u6210\u7684\u793a\u4f8b\u4ee3\u7801\uff0c\u8fd9\u91cc\u4e3e\u51e0\u4e2a\u7ecf\u5e38\u4f1a\u7528\u5230\u7684\u65b9\u6cd5<\/span><\/span><\/p>\n<ol class=\"list-paddingleft-2\" style=\"margin-bottom: 1.5em;font-family: Lora, sans-serif;font-size: 16px;text-align: left;white-space: normal;margin-left: 0px;margin-right: 0px\">\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>\u67d0\u70b9\u5ef6\u67d0\u5411\u91cf\u4fbf\u5b9c\u5f97\u5230\u53e6\u4e00\u70b9\uff0c\u5411\u91cf\u9700\u8981\u8d4b\u503c\u957f\u5ea6\uff0cPoint2 =\u00a0Point1.Offset(Vector1)<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>\u6c42\u4e24\u70b9\u76f4\u7ebf\u8ddd\u79bb\uff0cPos1.DistanceToPoint(Pos2)<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>\u70b9\u5230\u9762\u7684\u5782\u76f4\u6295\u5f71<\/em><\/span><\/p>\n<\/li>\n<\/ol>\n<p><span style=\"font-size: 17px\"><span>Curve3d\u548cSurface3d\u4e0b\u9762\u7684\u5b50\u7c7b\u6bd4\u8f83\u591a\uff0c\u5e38\u7528\u7684\u4ecb\u7ecd\u4e00\u4e0b\u3002<br \/>Curve3d\u4e0b\u9762\u6709\uff1a<\/span><\/span><\/p>\n<ol class=\"list-paddingleft-2\" style=\"margin-bottom: 1.5em;font-family: Lora, sans-serif;font-size: 16px;text-align: left;white-space: normal;margin-left: 0px;margin-right: 0px\">\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>New Line3D(Pos1, Pos2)<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>New Arc3d(Pos1, Pos2, Pos3)\u00a0 New Arc3d(posCenter, vecNorm, posStart, posEnd)<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>New Circle3d(Pos1, Pos2, Pos3)\u00a0 New Circle3d(posCenter, vecNorm, Radius)<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>New Ellipse3d(psCenter, vecNorm, vecMajorAxis, dMinorMajorRatio)\uff0c\u8fd9\u4e2a\u6784\u9020\u692d\u5706\u7684\u65b9\u6cd5\u91cc\u5e76\u6ca1\u6709\u6307\u5b9a\u4efb\u4f55\u4e00\u4e2a\u534a\u5f84\uff0c\u96be\u9053\u957f\u534a\u5f84\u76f4\u63a5\u53d6\u7528\u957f\u5411\u91cf\u7684\u957f\u5ea6\uff1f<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>New\u00a0EllipticalArc3d(psCenter, vecNorm, vecMajorAxis, dMinorMajorRatio, StartAngle, SweepAngle)<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>New\u00a0LineString3d(oCollPos)\u7ed9\u591a\u4e2a\u70b9\uff0c\u76f4\u7ebf\u76f8\u8fde\uff0c\u5373\u591a\u6bb5\u7ebf<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>New ComplexString3d(OccurrenceConn,\u00a0oCurves)\u590d\u6742\u7ebf\u96c6\u5408<\/em><\/span><\/p>\n<\/li>\n<\/ol>\n<p><span style=\"font-size: 17px\"><span>Surface3d\u4e0b\u9762\u6709\uff1a<\/span><\/span><\/p>\n<ol class=\"list-paddingleft-2\" style=\"margin-bottom: 1.5em;font-family: Lora, sans-serif;font-size: 16px;text-align: left;white-space: normal;margin-left: 0px;margin-right: 0px\">\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>New Plane3d(Pos1, Pos2, Pos3)\u00a0\u4e09\u70b9\u786e\u5b9a\u4e00\u9762\uff0c New\u00a0Plane3d(posPt, vecNorm)\u5782\u76f4\u5411\u91cf\u52a0\u9762\u4e0a\u7684\u4e00\u4e2a\u70b9\uff0c\u00a0New\u00a0Plane3d(ComplexString3d)\u4e00\u4e2a\u5e73\u9762\u4e0a\u7684\u590d\u6742\u7ebf\u96c6\u5408(\u975e\u7b80\u5355\u76f4\u7ebf)<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>New Cone3d(posBaseCenter, posTopCenter, posBaseStart,\u00a0\u00a0posTopStart, bSolid)\u5706\u9525\u4f53\u7ed8\u5236\uff0c\u786e\u5b9a\u4e2d\u8f74\uff0c\u56db\u4e2a\u70b9\u5b9a\u4e00\u4e2a\u9762\u7ed5\u4e2d\u8f74\u65cb\u8f6c<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>New\u00a0Sphere3d(posCenter, dRadius, bSolid)\u753b\u7403\uff0c\u5706\u5fc3\uff0c\u534a\u5f84\uff0c\u5f88\u7b80\u5355\u7684\u9020\u578b<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>New\u00a0Projection3d(GenCurve, vecProjDir, dLength, bCapped)\u00a0\u62c9\u4f38<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>New Revolution3d(oArc3d_1, oVecAxis, oPosCenter, dSweepAngle, bCapped)\u00a0\u65cb\u8f6c<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\"><em>New Ruled3d(GenCurveBase, GenCurveTop, bCapped)\u4e24\u4e2a\u7ebf\u96c6\u5408\u4e4b\u95f4\u653e\u6837\uff0c\u8fd9\u4e2a\u65b9\u6cd5\u5bf9\u4e24\u4e2a\u7ebf\u96c6\u5408\u6709\u4e00\u5b9a\u8981\u6c42\uff0c\u4f7f\u7528\u65f6\u5019\u9700\u8981\u6ce8\u610f\uff0c\u4e0d\u662f\u4efb\u610f\u4e24\u4e2a\u7ebf\u96c6\u5408\u90fd\u80fd\u653e\u6837\u6210\u529f<\/em><\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\">Surface3d.GetSweepSurfacesFromCurve\uff0c\u626b\u7565\uff0c\u4e0d\u505a\u8fc7\u591a\u8bb2\u89e3\uff0c\u53c2\u89c1\u81ea\u5e26\u5e2e\u52a9\u6587\u6863<\/span><\/p>\n<\/li>\n<li style=\"font-size: 17px\">\n<p><span style=\"font-size: 17px\">Surface3d.GetSweepSurfacesFromPlane\uff0c\u626b\u7565\uff0c\u4e0d\u505a\u8fc7\u591a\u8bb2\u89e3\uff0c\u53c2\u89c1\u81ea\u5e26\u5e2e\u52a9\u6587\u6863<\/span><\/p>\n<\/li>\n<\/ol>\n<p style=\"margin-bottom: 0em;font-size: 16px;line-height: 28px;padding: 20px 30px;font-family: Lora, sans-serif;text-align: left;white-space: normal\"><span style=\"font-size: 17px\">\u4ee5\u4e0a\u6982\u5ff5\u5747\u5c5e\u4e8eCommonMiddle\u8fd9\u4e2aAPI\uff0c\u8fd8\u6709\u6211\u4eec\u5728\u521b\u5efa\u7b26\u53f7\u7684\u65f6\u5019\u5f15\u7528\u7684\u4e00\u4e2a\u5fc5\u987b\u7684API\u53ebCommonSymbolFunctions\uff0c\u8fd9\u91cc\u9762\u6709\u4e00\u4e2aGraphics3d\u7c7b\uff0c\u91cc\u9762\u51e0\u4e4e\u5305\u542b\u4e86\u4e0a\u9762\u6211\u4eec\u6240\u4ecb\u7ecd\u5230\u7684\u6240\u6709\u9020\u578b\u65b9\u6cd5\uff0c\u5404\u4f4d\u4e5f\u53ef\u4ee5\u901a\u8fc7Graphics.CreateXXX\u6765\u5b9e\u73b0\u9020\u578b\u3002<\/span><\/p>\n<p style=\"margin-bottom: 0em;font-size: 16px;line-height: 28px;padding: 20px 30px;font-family: Lora, sans-serif;text-align: left;white-space: normal\"><span style=\"font-size: 17px\">\u6211\u4e0a\u9762\u8bb2\u89e3\u7684\u6709\u4e9b\u4e1c\u897f\u5176\u5b9e\u81ea\u5df1\u4e5f\u4e0d\u80fd\u786e\u4fdd\u767e\u5206\u767e\u719f\u7ec3\u4f7f\u7528\uff0c\u5f53\u4f60\u5bf9\u67d0\u4e2a\u9020\u578b\u65b9\u6cd5\u6216\u6982\u5ff5\u4e0d\u662f\u5f88\u786e\u5b9a\u7684\u65f6\u5019\uff0c\u8bb0\u4f4f\u4e00\u4e2a\u4e07\u80fd\u7684\u5b9a\u5f8b\uff1a<\/span><span><strong><span style=\"font-size: 17px\">\u8bd5\u4e00\u4e0b\uff01<\/span><\/strong><\/span><\/p>\n<figure style=\"margin-top: 1em;margin-bottom: 1em;font-family: Lora, sans-serif;font-size: 16px;text-align: left;white-space: normal\"><img decoding=\"async\" data-ratio=\"0.357421875\" data-type=\"jpeg\" data-w=\"1024\" src=\"https:\/\/www.pipingpig.com\/wp-content\/uploads\/2026\/08\/img_0001-15.jpg\" style=\"border-width: 0px;border-style: initial;border-color: initial;vertical-align: middle\" \/><\/figure>\n<hr style=\"height: 1px;margin-top: 20px;margin-bottom: 1.5em;border-width: 0px;border-style: initial;border-color: initial;font-family: Lora, sans-serif;font-size: 16px;text-align: left;white-space: normal\" \/>\n<p style=\"margin-bottom: 0em;font-size: 16px;line-height: 28px;font-family: Lora, sans-serif;text-align: left;white-space: normal\"><span style=\"font-size: 17px\"><strong>\u540e\u5e8f\uff1a\u5927\u5bb6\u901a\u8fc7\u4e0a\u9762\u7684\u7c7b\u548c\u65b9\u6cd5\u80fd\u770b\u51fa\uff0c3D\u91cc\u57fa\u672c\u4e0a\u6d89\u53ca\u5230\u70b9\uff0c\u7ebf\uff0c\u9762\uff0c\u4e09\u79cd\u6982\u5ff5\uff0c\u800c\u5e76\u6ca1\u6709\u6d89\u53ca\u5230\u5b9e\u4f53\uff0c\u800c\u4e14\u6211\u4eec\u7ecf\u5e38\u770b\u5230\u67d0\u4e9b\u65b9\u6cd5\u91cc\u4f1a\u5e26\u6709\u4e00\u4e2aCapped\u7684\u5f00\u5173\u8bbe\u7f6e\uff08\u5373\u662f\u5426\u5c01\u95ed\uff09\uff0c\u7531\u6b64\u53ef\u89c1\uff0c3D\u91cc\u9762\u7684\u9020\u578b\u57fa\u672c\u6784\u6210\u4e3a\u5404\u79cd\u70b9\u7ebf\u9762\uff0c\u800c\u5e76\u6ca1\u6709\u771f\u6b63\u610f\u4e49\u4e0a\u7684\u5b9e\u4f53\u3002<\/strong><\/span><\/p>\n<p><\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u9884\u8b66\uff01\u672c\u7bc7\u7eaf\u7406\u8bba\u4ecb\u7ecd\uff0c\u8f83\u4e3a\u67af\u71e5\u65e0\u804a\u6666\u6da9\uff01 Position\uff0c\u5750\u6807\uff0c\u8fd9\u4e2a\u5e94\u8be5\u90fd\u77e5\u9053\uff0c\u6bd4\u8f83\u7b80\u5355 Vector\uff0c\u5411\u91cf 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