Update docs

README.md

@@ -8,7 +8,7 @@ Basic (mathematical) operations for B-spline functions and related things with J
 [![Coverage](https://codecov.io/gh/hyrodium/BasicBSpline.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/hyrodium/BasicBSpline.jl)
 [![Aqua QA](https://raw.githubusercontent.com/JuliaTesting/Aqua.jl/master/badge.svg)](https://github.com/JuliaTesting/Aqua.jl)
 [![DOI](https://zenodo.org/badge/258791290.svg)](https://zenodo.org/badge/latestdoi/258791290)
-[![BasicBSpline Downloads](https://shields.io/endpoint?url=https://pkgs.genieframework.com/api/v1/badge/BasicBSpline)](https://pkgs.genieframework.com?packages=BasicBSpline).
+[![BasicBSpline Downloads](https://shields.io/endpoint?url=https://pkgs.genieframework.com/api/v1/badge/BasicBSpline)](https://pkgs.genieframework.com?packages=BasicBSpline)
 
 ![](docs/src/img/BasicBSplineLogo.png)
 

docs/make.jl

@@ -71,11 +71,9 @@ makedocs(;
         #     "ChainRules" => "chainrules.md"
         # ],
         "Visualization" => [
-            "Plots.jl" => "visualization/plots.md",
             "PlotlyJS.jl" => "visualization/plotlyjs.md",
             "BasicBSplineExporter.jl" => "visualization/basicbsplineexporter.md",
         ],
-        "Geometric modeling" => "geometricmodeling.md",
         "Interpolations" => "interpolations.md",
         "API" => "api.md",
     ],

docs/src/api.md

@@ -30,6 +30,7 @@ isdegenerate(P::BSplineSpace)
 BSplineManifold
 unbounded_mapping
 RationalBSplineManifold
+fittingcontrolpoints
 ```
 
 ```@docs

docs/src/math/bsplinebasis.md

@@ -274,6 +274,7 @@ end
 Let ``X_1, \dots, X_n`` be i.i.d. random variables with ``X_i \sim U(0,1)``, then the probability density function of ``X_1+\cdots+X_n`` can be obtained via `BasicBSpline.uniform_bsplinebasis_kernel(Val(n-1),t)`.
 
 ```@example math_bsplinebasis
+gr()
 N = 100000
 # polynomial degree 0
 plot1 = histogram([rand() for _ in 1:N], normalize=true, label=false)
@@ -289,10 +290,8 @@ plot4 = histogram([rand()+rand()+rand()+rand() for _ in 1:N], normalize=true, la
 plot!(t->BasicBSpline.uniform_bsplinebasis_kernel(Val(3),t), label=false)
 # plot all
 plot(plot1,plot2,plot3,plot4)
-savefig("histogram-uniform.html") # hide
+savefig("histogram-uniform.png") # hide
 nothing # hide
 ```
 
-```@raw html
-<object type="text/html" data="../histogram-uniform.html" style="width:100%;height:420px;"></object>
-```
+![](histogram-uniform.png)

docs/src/math/fitting.md

@@ -1,23 +1,18 @@
 # Fitting with B-spline manifold
 
-The following functions such as `fittingcontolpoints` were provided from BasicBSpline.jl before v0.9.0.
-From BasicBSpline v0.9.0, these functions are moved to [BasicBSplineFitting](https://github.com/hyrodium/BasicBSplineFitting.jl).
-
-```@setup math
+## Setup
+```@example math_fitting
 using BasicBSpline
 using BasicBSplineFitting
-using BasicBSplineExporter
 using StaticArrays
-using Plots; plotly()
+using Plots
 ```
 
-Fitting with least squares method.
+## Fitting with least squares
 
-```@docs
-fittingcontrolpoints
-```
+[`fittingcontrolpoints`](@ref) function
 
-```@example math
+```@example math_fitting
 p1 = 2
 p2 = 2
 k1 = KnotVector(-10:10)+p1*KnotVector([-10,10])
@@ -29,9 +24,51 @@ f(u1, u2) = SVector(2u1 + sin(u1) + cos(u2) + u2 / 2, 3u2 + sin(u2) + sin(u1) /
 
 a = fittingcontrolpoints(f, (P1, P2))
 M = BSplineManifold(a, (P1, P2))
-save_png("fitting.png", M, unitlength=50, xlims=(-10,10), ylims=(-10,10))
+gr()
+plot(M; xlims=(-10,10), ylims=(-10,10), aspectratio=1)
+savefig("fitting.png") # hide
+nothing # hide
 ```
 ![](fitting.png)
 
 [Try on Desmos graphing graphing calculator!](https://www.desmos.com/calculator/2hm3b1fbdf)
 ![](../img/fitting_desmos.png)
+
+
+### Cardioid (planar curve)
+```@example math_fitting
+f(t) = SVector((1+cos(t))*cos(t),(1+cos(t))*sin(t))
+p = 3
+k = KnotVector(range(0,2π,15)) + p * KnotVector([0,2π]) + 2 * KnotVector([π])
+P = BSplineSpace{p}(k)
+a = fittingcontrolpoints(f, P)
+M = BSplineManifold(a, P)
+
+gr()
+plot(M; aspectratio=1)
+savefig("plots-cardioid.html") # hide
+nothing # hide
+```
+
+```@raw html
+<object type="text/html" data="../plots-cardioid.html" style="width:100%;height:550px;"></object>
+```
+
+### Helix (spatial curve)
+```@example math_fitting
+f(t) = SVector(cos(t),sin(t),t)
+p = 3
+k = KnotVector(range(0,6π,15)) + p * KnotVector([0,6π])
+P = BSplineSpace{p}(k)
+a = fittingcontrolpoints(f, P)
+M = BSplineManifold(a, P)
+
+plotly()
+plot(M)
+savefig("plots-helix.html") # hide
+nothing # hide
+```
+
+```@raw html
+<object type="text/html" data="../plots-helix.html" style="width:100%;height:550px;"></object>
+```

docs/src/math/rationalbsplinemanifold.md

@@ -87,7 +87,8 @@ t = 1  # angle in radians
 a = [SVector(1,0), SVector(1,tan(t/2)), SVector(cos(t),sin(t))]
 w = [1,cos(t/2),1]
 M = RationalBSplineManifold(a,w,P)
-plot(M, xlims=(0,1.1), ylims=(0,1.1), aspectratio=1)
+plot([cosd(t) for t in 0:360], [sind(t) for t in 0:360]; xlims=(-1.1,1.1), ylims=(-1.1,1.1), aspectratio=1, label="circle", color=:gray, linestyle=:dash)
+plot!(M; label="Rational B-spline curve")
 savefig("geometricmodeling-arc.png") # hide
 nothing # hide
 ```