{"id":995,"date":"2023-07-28T01:29:05","date_gmt":"2023-07-28T01:29:05","guid":{"rendered":"https:\/\/statorials.org\/pl\/gladka-krzywa-matplotlib\/"},"modified":"2023-07-28T01:29:05","modified_gmt":"2023-07-28T01:29:05","slug":"gladka-krzywa-matplotlib","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/gladka-krzywa-matplotlib\/","title":{"rendered":"Jak wykre\u015bli\u0107 g\u0142adk\u0105 krzyw\u0105 w matplotlib"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Cz\u0119sto mo\u017cesz chcie\u0107 wykre\u015bli\u0107 g\u0142adk\u0105 krzyw\u0105 w Matplotlib dla wykresu liniowego. Na szcz\u0119\u015bcie mo\u017cna to \u0142atwo zrobi\u0107, korzystaj\u0105c z nast\u0119puj\u0105cych funkcji SciPy:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.interpolate.make_interp_spline.html\" target=\"_blank\" rel=\"noopener noreferrer\">scipy.interpolate.make_interp_spline()<\/a><\/span><\/li>\n<li> <span style=\"color: #000000;\"><a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.interpolate.BSpline.html\" target=\"_blank\" rel=\"noopener noreferrer\">scipy.interpolate.BSpline()<\/a><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">W tym samouczku wyja\u015bniono, jak w praktyce korzysta\u0107 z tych funkcji.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad: wykre\u015blanie g\u0142adkiej krzywej w Matplotlib<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak utworzy\u0107 prosty wykres liniowy dla zestawu danych:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n<span style=\"color: #107d3f;\">import<\/span> matplotlib.pyplot <span style=\"color: #107d3f;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#create data<\/span>\nx = np.array([1, 2, 3, 4, 5, 6, 7, 8])\ny = np.array([4, 9, 12, 30, 45, 88, 140, 230])\n\n<span style=\"color: #008080;\">#create line chart<\/span>\nplt. <span style=\"color: #3366ff;\">plot<\/span> (x,y)\nplt. <span style=\"color: #3366ff;\">show<\/span> ()\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10342 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lisse1.png\" alt=\"\" width=\"453\" height=\"339\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Nale\u017cy pami\u0119ta\u0107, \u017ce wykres liniowy nie jest ca\u0142kowicie g\u0142adki, poniewa\u017c dane le\u017c\u0105ce u jego podstaw nie przebiegaj\u0105 po g\u0142adkiej linii. Mo\u017cemy u\u017cy\u0107 nast\u0119puj\u0105cego kodu, aby utworzy\u0107 g\u0142adk\u0105 krzyw\u0105 dla tego zbioru danych:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy.interpolate <span style=\"color: #008000;\">import<\/span> make_interp_spline, BSpline\n\n<span style=\"color: #008080;\">#createdata<\/span>\nx = np.array([1, 2, 3, 4, 5, 6, 7, 8])\ny = np.array([4, 9, 12, 30, 45, 88, 140, 230])\n\n<span style=\"color: #008080;\">#define x as 200 equally spaced values between the min and max of original x<\/span> \nxnew = np. <span style=\"color: #3366ff;\">linspace<\/span> ( <span style=\"color: #993300;\">x.min<\/span> (), <span style=\"color: #993300;\">x.max<\/span> (), <span style=\"color: #008000;\">200<\/span> ) \n\n<span style=\"color: #008080;\">#define spline<\/span>\nspl = <span style=\"color: #3366ff;\">make_interp_spline<\/span> (x, y, k= <span style=\"color: #008000;\">3<\/span> )\ny_smooth = <span style=\"color: #3366ff;\">spl<\/span> (xnew)\n\n<span style=\"color: #008080;\">#create smooth line chart<\/span> \nplt. <span style=\"color: #3366ff;\">plot<\/span> (xnew, y_smooth)\nplt. <span style=\"color: #3366ff;\">show<\/span> ()\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10343 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lisse2.png\" alt=\"G\u0142adka krzywa w Matplotlib\" width=\"456\" height=\"335\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Nale\u017cy pami\u0119ta\u0107, \u017ce im wy\u017cszy stopie\u0144 argumentu <strong>k<\/strong> , tym bardziej \u201efalista\u201d b\u0119dzie krzywa. Rozwa\u017cmy na przyk\u0142ad nast\u0119puj\u0105cy wykres z <strong>k=7<\/strong> :<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy.interpolate <span style=\"color: #008000;\">import<\/span> make_interp_spline, BSpline\n\n<span style=\"color: #008080;\">#createdata<\/span>\nx = np.array([1, 2, 3, 4, 5, 6, 7, 8])\ny = np.array([4, 9, 12, 30, 45, 88, 140, 230])\n\n<span style=\"color: #008080;\">#define x as 200 equally spaced values between the min and max of original x<\/span> \nxnew = np. <span style=\"color: #3366ff;\">linspace<\/span> ( <span style=\"color: #993300;\">x.min<\/span> (), <span style=\"color: #993300;\">x.max<\/span> (), <span style=\"color: #008000;\">200<\/span> ) \n\n<span style=\"color: #008080;\">#define spline with degree k=7<\/span>\nspl = <span style=\"color: #3366ff;\">make_interp_spline<\/span> (x, y, k= <span style=\"color: #008000;\">7<\/span> )\ny_smooth = <span style=\"color: #3366ff;\">spl<\/span> (xnew)\n\n<span style=\"color: #008080;\">#create smooth line chart<\/span> \nplt. <span style=\"color: #3366ff;\">plot<\/span> (xnew, y_smooth)\nplt. <span style=\"color: #3366ff;\">show<\/span> ()<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10346 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lisse3.png\" alt=\"G\u0142adki zakrzywiony splajn w Matplotlib\" width=\"431\" height=\"317\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">W zale\u017cno\u015bci od tego, jak krzywizna ma by\u0107 linia, mo\u017cesz zmieni\u0107 warto\u015b\u0107 k.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pl\/siatka-wyswietlania-matplotlib\/\" target=\"_blank\" rel=\"noopener noreferrer\">Jak wy\u015bwietli\u0107 linie siatki na wykresach Matplotlib<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/matplotlib-usuwa-znaczniki\/\" target=\"_blank\" rel=\"noopener noreferrer\">Jak usun\u0105\u0107 znaczniki z wykres\u00f3w Matplotlib<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/log-wykres-matplotlib\/\" target=\"_blank\" rel=\"noopener noreferrer\">Jak tworzy\u0107 wykresy Matplotlib za pomoc\u0105 skal logarytmicznych<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cz\u0119sto mo\u017cesz chcie\u0107 wykre\u015bli\u0107 g\u0142adk\u0105 krzyw\u0105 w Matplotlib dla wykresu liniowego. Na szcz\u0119\u015bcie mo\u017cna to \u0142atwo zrobi\u0107, korzystaj\u0105c z nast\u0119puj\u0105cych funkcji SciPy: scipy.interpolate.make_interp_spline() scipy.interpolate.BSpline() W tym samouczku wyja\u015bniono, jak w praktyce korzysta\u0107 z tych funkcji. Przyk\u0142ad: wykre\u015blanie g\u0142adkiej krzywej w Matplotlib Poni\u017cszy kod pokazuje, jak utworzy\u0107 prosty wykres liniowy dla zestawu danych: import numpy as [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-995","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jak wykre\u015bli\u0107 g\u0142adk\u0105 krzyw\u0105 w Matplotlib - Statologia<\/title>\n<meta name=\"description\" content=\"Proste wyja\u015bnienie, jak wykre\u015bli\u0107 g\u0142adk\u0105 krzyw\u0105 w Matplotlib, w tym kilka przyk\u0142ad\u00f3w.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pl\/gladka-krzywa-matplotlib\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak wykre\u015bli\u0107 g\u0142adk\u0105 krzyw\u0105 w Matplotlib - Statologia\" \/>\n<meta property=\"og:description\" content=\"Proste wyja\u015bnienie, jak wykre\u015bli\u0107 g\u0142adk\u0105 krzyw\u0105 w Matplotlib, w tym kilka przyk\u0142ad\u00f3w.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/gladka-krzywa-matplotlib\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T01:29:05+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lisse1.png\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/gladka-krzywa-matplotlib\/\",\"url\":\"https:\/\/statorials.org\/pl\/gladka-krzywa-matplotlib\/\",\"name\":\"Jak wykre\u015bli\u0107 g\u0142adk\u0105 krzyw\u0105 w Matplotlib - Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-28T01:29:05+00:00\",\"dateModified\":\"2023-07-28T01:29:05+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Proste wyja\u015bnienie, jak wykre\u015bli\u0107 g\u0142adk\u0105 krzyw\u0105 w Matplotlib, w tym kilka przyk\u0142ad\u00f3w.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/gladka-krzywa-matplotlib\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/gladka-krzywa-matplotlib\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/gladka-krzywa-matplotlib\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak wykre\u015bli\u0107 g\u0142adk\u0105 krzyw\u0105 w matplotlib\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. 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