polish

Jet_fitting_3/doc_tex/Jet_fitting_3_ref/DataKernel.tex

@@ -47,7 +47,7 @@ the class
 \ccOperations
 % +------------------------------------------------------------------
 Only constructors (from 3 scalars and copy constructors) and access
-methods to coordinates x(), y(), z() are needed.
+methods to coordinates \ccc{x()}, \ccc{y()}, \ccc{z()} are needed.
 
 \ccHasModels
 % +------------------------------------------------------------------

Jet_fitting_3/doc_tex/Jet_fitting_3_ref/LocalKernel.tex

@@ -73,7 +73,7 @@ The scalar type \ccc{LocalKernel::FT} must be a field type with a
 square root.
 
 Only constructors (from 3 scalars and copy constructors) and access
-methods to coordinates x(), y(), z() are needed for the point and
+methods to coordinates \ccc{x()}, \ccc{y()}, \ccc{z()} are needed for the point and
 vector types.
 
 %\ccMethod{void foo();}{some member functions}

Jet_fitting_3/doc_tex/Jet_fitting_3_ref/Monge_form.tex

@@ -18,7 +18,7 @@
 
 \ccDefinition
   
-The class \ccRefName\ stores the Monge representation, i.e. the Monge
+The class \ccRefName\ stores the Monge representation, i.e., the Monge
 coordinate system and the coefficients of the Monge form in this
 system.
 
@@ -48,7 +48,7 @@ system.
 \ccMemberFunction{Point_3 origin();}{Point on the fitted surface where
 differential quantities are computed.}
 
-The Monge basis is given by :
+The Monge basis is given by:
 
 \ccMemberFunction{Vector_3 maximal_principal_direction();}{}
 \ccGlue
@@ -56,7 +56,7 @@ The Monge basis is given by :
 \ccGlue
 \ccMemberFunction{Vector_3 normal_direction(); }{}
 
-The Monge coefficients are given by :
+The Monge coefficients are given by:
 
 \ccMemberFunction{FT principal_curvatures(size_t i);}
 {$i=0$ for the maximum and $i=1$ for the minimum.}
@@ -73,7 +73,7 @@ The Monge coefficients are given by :
 \ccMemberFunction{void comply_wrt_given_normal(const Vector_3 given_normal);}
 { change principal basis and Monge coefficients so that the
 given\_normal and the Monge normal make an acute angle.\\ If
-given\_normal.monge\_normal $< 0$ then change the orientation~: if
+given\_normal.monge\_normal $< 0$ then change the orientation: if
 $z=g(x,y)$ in the basis (d1,d2,n) then in the basis (d2,d1,-n)
 $z=h(x,y)=-g(y,x)$. }
 

Jet_fitting_3/doc_tex/Jet_fitting_3_ref/Monge_via_jet_fitting.tex

@@ -69,7 +69,7 @@ algebra algorithm required by the fitting method.
   \ccc{Data_kernel::Point_3}, \ccc{d} is the degree of the fitted
   polynomial, \ccc{d'} is the degree of the expected Monge
   coefficients.  \ccPrecond $N \geq N_{d}:=(d+1)(d+2)/2$, $1 \leq d'
-  \leq \min(d,4) $ }
+  \leq \min(d,4) $. }
 
 
 \ccMethod{FT condition_number();}{condition number of the linear fitting system.}

Jet_fitting_3/doc_tex/Jet_fitting_3_ref/SvdTraits.tex

@@ -35,9 +35,9 @@ the \ccc{LocalKernel} concept~: \ccc{LocalKernel::FT}.
 % +------------------------------------------------------------------
 \ccNestedType{FT}{The scalar type.}
 \ccGlue
-\ccNestedType{Vector }{The Vector type.}
+\ccNestedType{Vector }{The vector type.}
 \ccGlue
-\ccNestedType{Matrix }{The Matrix type.}
+\ccNestedType{Matrix }{The matrix type.}
 
 %\ccCreation
 %\ccCreationVariable{a}  %% choose variable name
@@ -47,15 +47,15 @@ the \ccc{LocalKernel} concept~: \ccc{LocalKernel::FT}.
 \ccCreationVariable{vector} %choose variable name
 
 \ccConstructor{Vector(size_t n);} { initialize all the elements of the vector to zero.} 
-The Vector has the access methods
+The type \ccc{Vector} has the access methods
 
 \ccMethod{size_t size();}{}
 \ccGlue
-\ccMethod{FT operator()(size_t i); }{return the $i^{th}$ entry, $i$ from 0 to $size()-1$}
+\ccMethod{FT operator()(size_t i); }{return the $i^{th}$ entry, $i$ from $0$ to $size()-1$.}
 \ccGlue
-\ccMethod{void set(size_t i, const FT value);}{set the $i^{th}$ entry to $value$}
+\ccMethod{void set(size_t i, const FT value);}{set the $i^{th}$ entry to $value$.}
 
-The Matrix has the access methods
+The type \ccc{Matrix} has the access methods
 
 \ccCreationVariable{matrix} %choose variable name
 \ccConstructor{Matrix(size_t n1, size_t n2);} { initialize all the entries of the matrix to zero.} 
@@ -64,20 +64,20 @@ The Matrix has the access methods
 \ccMethod{size_t number_of_columns();}{}
 \ccGlue
 \ccMethod{FT operator()(size_t i, size_t j); }
-{return the entry at row $i$ and column $j$, $i$ from 0 to \ccc{number_of_rows - 1}, 
-$j$ from 0 to \ccc{number_of_columns - 1}}
+{return the entry at row $i$ and column $j$, $i$ from $0$ to \ccc{number_of_rows - 1}, 
+$j$ from $0$ to \ccc{number_of_columns - 1}.}
 \ccGlue
 \ccMethod{void set(size_t i, size_t j, const FT value); }
-    {set the entry at row $i$ and column $j$ to $value$}
+    {set the entry at row $i$ and column $j$ to $value$.}
 
-The SvdTraits has a linear solver using a singular value decomposition
+The concept \ccc{SvdTraits} has a linear solver using a singular value decomposition
 algorithm.
 \ccCreationVariable{traits} %choose variable name
 
 \ccMethod{FT solve(Matrix& M, Vector& B);}
-{ Solves the system MX=B (in the least square sense if M is not
-square) using a Singular Value Decomposition and returns the condition
-number of M. The solution is stored in B.}
+{ Solves the system $MX=B$ (in the least square sense if $M$ is not
+square) using a singular value decomposition and returns the condition
+number of $M$. The solution is stored in $B$.}
 
 \ccHasModels
 % +------------------------------------------------------------------