<content> Rezonar's triangular mesh </content>

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Examples of meshes with vertices

f# x# y# feval f# num2str (x# num2str, y# num2str) concat str2num 11 line :

a b n pR a b a - n / 0 n range * + eval 11 line :

PMesh returns a matrix suitable for 3D plots. F pTMesh T F F F rows row stack eval : T F F F cols col augment eval : nu T rows 1 - : nv T cols 1 - : 12 mat np 5 : r.np 1 np range : r.nv 1 nv 1 - (range : 13 mat M 03 matrix eval : c 13 range : 12 mat u 1 nu range v 1 nv range r M rows : k r r.np + : 12 mat M k c el T 0010115 mat k r - el u + 0110015 mat k r - el v + el c el : 21 line for r M rows : k r r.nv + : 12 mat M k c el M u 1 - (np nv * nv + 1 - (* np v 1 - (* + k r - 1 - (np * - c el : 31 line for M eval 71 line :

PMesh returns a matrix suitable for 3D plots. F X Y pTMesh r 1 X length range : c 1 Y length range : M 0 : 13 mat M r c el F X r el Y c el feval : pTMesh eval 21 line :

γ 0.8232 - 0.4194 - 0.3827 0.5677 0.6187 - 0.543 0.009 0.6643 0.7474 33 mat :

<content> pMesh2 </content>

f# x# y# feval f# num2str (x# num2str, y# num2str) concat str2num 11 line :

a b n pRange a b a - n / 0 n range * + eval 11 line :

Returns a Matrix length(U)*lenght(V) with the elements of F(U,V) FS U V pGrid r 1 U length range : c 1 V length range : F#F 0 : 13 mat F#F r c el FS U r el V c el feval : F#F 31 line :

PMesh returns a matrix suitable for 3D plots. F# F'# pTMesh2 F F# F# F# cols col augment eval : F' F'# eval : 12 mat nu F rows 1 - : nv F cols 1 - : M 03 matrix eval : r' 0 : 14 mat np 5 : p' 6 : r.np 1 np range : r.nv 1 nv 1 - (range : c 13 range : 15 mat u 1 nu range v 1 nv range r M rows : k r r.np + : r' r' 1 + : 13 mat M k c el F 0010115 mat k r - el u + 0110015 mat k r - el v + el c el : v nv ≡ M r p' + c el M r np + c el : M r p' + c el F' r' el c el : if 31 line for r M rows : k r r.nv + : 12 mat M k c el M u 1 - (p' nv * nv + 1 - (* p' v 1 - (* + k r - 1 - (p' * - 1 - c el : 31 line for M 51 line :

FS U V pTMesh2 A pr v A 2 el A 1 el - 2 / A + : v v length el A v length el : eval 21 line : FS U V pGrid FS U pr V pr pGrid pTMesh2 eval 21 line :

γ 0.8232 - 0.4194 - 0.3827 0.5677 0.6187 - 0.543 0.009 0.6643 0.7474 33 mat :

γ2 0.8232 - 0.4194 - 0.5677 0.6187 - 0.009 0.6643 32 mat :

s trMesh k 1 s rows range : sγ s γ * eval : Nd k el sγ k row eval : 13 mat plotNd k el Nd k el 1 col Nd k el 2 col . 13 mat : sγ 1 col sγ 2 col augment plotNd mat2sys.1 41 sys 31 line :

u v f9 u v u 2^4 / v 2^4 / + sin 0.7097 - 31 mat :

s9 f9 6 - 620 pR 6 - 620 pR pTMesh :

s9' f9 6 - 620 pR 6 - 620 pR pTMesh2 :

u v f19 9 u * 9 v * 9 0.01 e u^* 0.0094 u (4^+ v (4^+ / * 31 mat :

s19 f19 0 0.5 7 pR 0.8 - 0.8 20 pR pTMesh :

s19' f19 0 0.5 7 pR 0.8 - 0.8 20 pR pTMesh2 :

u v f2 u v v (2^2 / u (2^2 / - 31 mat :

s2 f2 4 - 48 pR 5 - 520 pR pTMesh :

s2' f2 4 - 48 pR 5 - 520 pR pTMesh2 :

Orthogonal projection of a circle onto a surface

s9 trMesh

Orthogonal projection of a circle onto a surface

s9' trMesh

Orthogonal projection of a circle onto a surface

s19 trMesh

Orthogonal projection of a circle onto a surface

s19' trMesh

Orthogonal projection of a circle onto a surface

s2 trMesh

Orthogonal projection of a circle onto a surface

s2' trMesh