[docs] add ellipse fitting tutorial (#3895)

docs/Project.toml

@@ -2,6 +2,8 @@
 CDDLib = "3391f64e-dcde-5f30-b752-e11513730f60"
 CSV = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b"
 Clarabel = "61c947e1-3e6d-4ee4-985a-eec8c727bd6e"
+Clustering = "aaaa29a8-35af-508c-8bc3-b662a17a0fe5"
+DSP = "717857b8-e6f2-59f4-9121-6e50c889abd2"
 DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
 DifferentiationInterface = "a0c0ee7d-e4b9-4e03-894e-1c5f64a51d63"
 DimensionalData = "0703355e-b756-11e9-17c0-8b28908087d0"
@@ -15,11 +17,13 @@ ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
 GLPK = "60bf3e95-4087-53dc-ae20-288a0d20c6a6"
 HTTP = "cd3eb016-35fb-5094-929b-558a96fad6f3"
 HiGHS = "87dc4568-4c63-4d18-b0c0-bb2238e4078b"
+Images = "916415d5-f1e6-5110-898d-aaa5f9f070e0"
 Interpolations = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59"
 Ipopt = "b6b21f68-93f8-5de0-b562-5493be1d77c9"
 JSON = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
 JSONSchema = "7d188eb4-7ad8-530c-ae41-71a32a6d4692"
 JuMP = "4076af6c-e467-56ae-b986-b466b2749572"
+LinearOperatorCollection = "a4a2c56f-fead-462a-a3ab-85921a5f2575"
 Literate = "98b081ad-f1c9-55d3-8b20-4c87d4299306"
 Markdown = "d6f4376e-aef5-505a-96c1-9c027394607a"
 MarkdownAST = "d0879d2d-cac2-40c8-9cee-1863dc0c7391"
@@ -31,18 +35,22 @@ ParametricOptInterface = "0ce4ce61-57bf-432b-a095-efac525d185e"
 Pkg = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
 Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
+RegularizedLeastSquares = "1e9c538a-f78c-5de5-8ffb-0b6dbe892d23"
 SCS = "c946c3f1-0d1f-5ce8-9dea-7daa1f7e2d13"
 SQLite = "0aa819cd-b072-5ff4-a722-6bc24af294d9"
 SpecialFunctions = "276daf66-3868-5448-9aa4-cd146d93841b"
 StatsPlots = "f3b207a7-027a-5e70-b257-86293d7955fd"
 TOML = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
 Tables = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
+Wavelets = "29a6e085-ba6d-5f35-a997-948ac2efa89a"
 
 [compat]
 CDDLib = "=0.9.4"
 CSV = "0.10"
 Clarabel = "=0.9.0"
+Clustering = "0.15.7"
+DSP = "0.7.10"
 DataFrames = "1"
 DifferentiationInterface = "0.6.5"
 DimensionalData = "=0.29.1"
@@ -55,19 +63,23 @@ ForwardDiff = "0.10"
 GLPK = "=1.2.1"
 HTTP = "1.5.4"
 HiGHS = "=1.12.0"
+Images = "0.26.1"
 Interpolations = "0.14"
 Ipopt = "=1.6.7"
 JSON = "0.21"
 JSONSchema = "1"
+LinearOperatorCollection = "2.0.7"
 Literate = "2.8"
 MarkdownAST = "0.1"
 MathOptInterface = "=1.34.0"
 MultiObjectiveAlgorithms = "=1.3.4"
 PATHSolver = "=1.7.8"
 ParametricOptInterface = "0.8.1"
 Plots = "1"
+RegularizedLeastSquares = "0.16.6"
 SCS = "=2.0.1"
 SQLite = "1"
 SpecialFunctions = "2"
 StatsPlots = "0.15"
 Tables = "1"
+Wavelets = "0.10.0"

docs/make.jl

@@ -372,6 +372,7 @@ const _PAGES = [
             "tutorials/conic/experiment_design.md",
             "tutorials/conic/min_ellipse.md",
             "tutorials/conic/ellipse_approx.md",
+            "tutorials/conic/ellipse_fitting.md",
             "tutorials/conic/quantum_discrimination.md",
         ],
         "Algorithms" => [